Template “trait” class for OpenCV primitive data types. A primitive OpenCV data type is one of unsigned char, bool, signed char, unsigned short, signed short, int, float, double, or a tuple of values of one of these types, where all the values in the tuple have the same type. Any primitive type from the list can be defined by an identifier in the form CV_<bitdepth>{USF}C(<number_of_channels>), for example: uchar ~ CV_8UC1, 3element floatingpoint tuple ~ CV_32FC3, and so on. A universal OpenCV structure that is able to store a single instance of such a primitive data type is Vec. Multiple instances of such a type can be stored in a std::vector, Mat, Mat_, SparseMat, SparseMat_, or any other container that is able to store Vec instances.
The DataType class is basically used to provide a description of such primitive data types without adding any fields or methods to the corresponding classes (and it is actually impossible to add anything to primitive C/C++ data types). This technique is known in C++ as class traits. It is not DataType itself that is used but its specialized versions, such as:
template<> class DataType<uchar>
{
typedef uchar value_type;
typedef int work_type;
typedef uchar channel_type;
enum { channel_type = CV_8U, channels = 1, fmt='u', type = CV_8U };
};
...
template<typename _Tp> DataType<std::complex<_Tp> >
{
typedef std::complex<_Tp> value_type;
typedef std::complex<_Tp> work_type;
typedef _Tp channel_type;
// DataDepth is another helper trait class
enum { depth = DataDepth<_Tp>::value, channels=2,
fmt=(channels1)*256+DataDepth<_Tp>::fmt,
type=CV_MAKETYPE(depth, channels) };
};
...
The main purpose of this class is to convert compilationtime type information to an OpenCVcompatible data type identifier, for example:
// allocates a 30x40 floatingpoint matrix
Mat A(30, 40, DataType<float>::type);
Mat B = Mat_<std::complex<double> >(3, 3);
// the statement below will print 6, 2 /*, that is depth == CV_64F, channels == 2 */
cout << B.depth() << ", " << B.channels() << endl;
So, such traits are used to tell OpenCV which data type you are working with, even if such a type is not native to OpenCV. For example, the matrix B intialization above is compiled because OpenCV defines the proper specialized template class DataType<complex<_Tp> > . This mechanism is also useful (and used in OpenCV this way) for generic algorithms implementations.
Template class for 2D points specified by its coordinates and . An instance of the class is interchangeable with C structures, CvPoint and CvPoint2D32f . There is also a cast operator to convert point coordinates to the specified type. The conversion from floatingpoint coordinates to integer coordinates is done by rounding. Commonly, the conversion uses this operation for each of the coordinates. Besides the class members listed in the declaration above, the following operations on points are implemented:
pt1 = pt2 + pt3;
pt1 = pt2  pt3;
pt1 = pt2 * a;
pt1 = a * pt2;
pt1 += pt2;
pt1 = pt2;
pt1 *= a;
double value = norm(pt); // L2 norm
pt1 == pt2;
pt1 != pt2;
For your convenience, the following type aliases are defined:
typedef Point_<int> Point2i;
typedef Point2i Point;
typedef Point_<float> Point2f;
typedef Point_<double> Point2d;
Example:
Point2f a(0.3f, 0.f), b(0.f, 0.4f);
Point pt = (a + b)*10.f;
cout << pt.x << ", " << pt.y << endl;
Template class for 3D points specified by its coordinates , and . An instance of the class is interchangeable with the C structure CvPoint2D32f . Similarly to Point_ , the coordinates of 3D points can be converted to another type. The vector arithmetic and comparison operations are also supported.
The following Point3_<> aliases are available:
typedef Point3_<int> Point3i;
typedef Point3_<float> Point3f;
typedef Point3_<double> Point3d;
Template class for specfying the size of an image or rectangle. The class includes two members called width and height. The structure can be converted to and from the old OpenCV structures CvSize and CvSize2D32f . The same set of arithmetic and comparison operations as for Point_ is available.
OpenCV defines the following Size_<> aliases:
typedef Size_<int> Size2i;
typedef Size2i Size;
typedef Size_<float> Size2f;
Template class for 2D rectangles, described by the following parameters:
OpenCV typically assumes that the top and left boundary of the rectangle are inclusive, while the right and bottom boundaries are not. For example, the method Rect_::contains returns true if
Virtually every loop over an image ROI in OpenCV (where ROI is specified by Rect_<int> ) is implemented as:
for(int y = roi.y; y < roi.y + rect.height; y++)
for(int x = roi.x; x < roi.x + rect.width; x++)
{
// ...
}
In addition to the class members, the following operations on rectangles are implemented:
This is an example how the partial ordering on rectangles can be established (rect1 rect2):
template<typename _Tp> inline bool
operator <= (const Rect_<_Tp>& r1, const Rect_<_Tp>& r2)
{
return (r1 & r2) == r1;
}
For your convenience, the Rect_<> alias is available:
typedef Rect_<int> Rect;
Template class for rotated rectangles specified by the center, size, and the rotation angle in degrees.
Template class defining termination criteria for iterative algorithms.
Template class for small matrices whose type and size are known at compilation time:
template<typename _Tp, int m, int n> class Matx {...};
typedef Matx<float, 1, 2> Matx12f;
typedef Matx<double, 1, 2> Matx12d;
...
typedef Matx<float, 1, 6> Matx16f;
typedef Matx<double, 1, 6> Matx16d;
typedef Matx<float, 2, 1> Matx21f;
typedef Matx<double, 2, 1> Matx21d;
...
typedef Matx<float, 6, 1> Matx61f;
typedef Matx<double, 6, 1> Matx61d;
typedef Matx<float, 2, 2> Matx22f;
typedef Matx<double, 2, 2> Matx22d;
...
typedef Matx<float, 6, 6> Matx66f;
typedef Matx<double, 6, 6> Matx66d;
If you need a more flexible type, use Mat . The elements of the matrix M are accessible using the M(i,j) notation. Most of the common matrix operations (see also Matrix Expressions ) are available. To do an operation on Matx that is not implemented, you can easily convert the matrix to Mat and backwards.
Matx33f m(1, 2, 3,
4, 5, 6,
7, 8, 9);
cout << sum(Mat(m*m.t())) << endl;
Template class for short numerical vectors, a partial case of Matx:
template<typename _Tp, int n> class Vec : public Matx<_Tp, n, 1> {...};
typedef Vec<uchar, 2> Vec2b;
typedef Vec<uchar, 3> Vec3b;
typedef Vec<uchar, 4> Vec4b;
typedef Vec<short, 2> Vec2s;
typedef Vec<short, 3> Vec3s;
typedef Vec<short, 4> Vec4s;
typedef Vec<int, 2> Vec2i;
typedef Vec<int, 3> Vec3i;
typedef Vec<int, 4> Vec4i;
typedef Vec<float, 2> Vec2f;
typedef Vec<float, 3> Vec3f;
typedef Vec<float, 4> Vec4f;
typedef Vec<float, 6> Vec6f;
typedef Vec<double, 2> Vec2d;
typedef Vec<double, 3> Vec3d;
typedef Vec<double, 4> Vec4d;
typedef Vec<double, 6> Vec6d;
It is possible to convert Vec<T,2> to/from Point_, Vec<T,3> to/from Point3_ , and Vec<T,4> to CvScalar or Scalar_. Use operator[] to access the elements of Vec.
All the expected vector operations are also implemented:
The Vec class is commonly used to describe pixel types of multichannel arrays. See Mat for details.
Template class for a 4element vector derived from Vec.
template<typename _Tp> class Scalar_ : public Vec<_Tp, 4> { ... };
typedef Scalar_<double> Scalar;
Being derived from Vec<_Tp, 4> , Scalar_ and Scalar can be used just as typical 4element vectors. In addition, they can be converted to/from CvScalar . The type Scalar is widely used in OpenCV to pass pixel values.
Template class specifying a continuous subsequence (slice) of a sequence.
class Range
{
public:
...
int start, end;
};
The class is used to specify a row or a column span in a matrix ( Mat ) and for many other purposes. Range(a,b) is basically the same as a:b in Matlab or a..b in Python. As in Python, start is an inclusive left boundary of the range and end is an exclusive right boundary of the range. Such a halfopened interval is usually denoted as .
The static method Range::all() returns a special variable that means “the whole sequence” or “the whole range”, just like ” : ” in Matlab or ” ... ” in Python. All the methods and functions in OpenCV that take Range support this special Range::all() value. But, of course, in case of your own custom processing, you will probably have to check and handle it explicitly:
void my_function(..., const Range& r, ....)
{
if(r == Range::all()) {
// process all the data
}
else {
// process [r.start, r.end)
}
}
Template class for smart referencecounting pointers
template<typename _Tp> class Ptr
{
public:
// default constructor
Ptr();
// constructor that wraps the object pointer
Ptr(_Tp* _obj);
// destructor: calls release()
~Ptr();
// copy constructor; increments ptr's reference counter
Ptr(const Ptr& ptr);
// assignment operator; decrements own reference counter
// (with release()) and increments ptr's reference counter
Ptr& operator = (const Ptr& ptr);
// increments reference counter
void addref();
// decrements reference counter; when it becomes 0,
// delete_obj() is called
void release();
// userspecified custom object deletion operation.
// by default, "delete obj;" is called
void delete_obj();
// returns true if obj == 0;
bool empty() const;
// provide access to the object fields and methods
_Tp* operator > ();
const _Tp* operator > () const;
// return the underlying object pointer;
// thanks to the methods, the Ptr<_Tp> can be
// used instead of _Tp*
operator _Tp* ();
operator const _Tp*() const;
protected:
// the encapsulated object pointer
_Tp* obj;
// the associated reference counter
int* refcount;
};
The Ptr<_Tp> class is a template class that wraps pointers of the corresponding type. It is similar to shared_ptr that is part of the Boost library ( http://www.boost.org/doc/libs/1_40_0/libs/smart_ptr/shared_ptr.htm ) and also part of the C++0x standard.
This class provides the following options:
The Ptr class treats the wrapped object as a black box. The reference counter is allocated and managed separately. The only thing the pointer class needs to know about the object is how to deallocate it. This knowledge is incapsulated in the Ptr::delete_obj() method that is called when the reference counter becomes 0. If the object is a C++ class instance, no additional coding is needed, because the default implementation of this method calls delete obj; . However, if the object is deallocated in a different way, the specialized method should be created. For example, if you want to wrap FILE , the delete_obj may be implemented as follows:
template<> inline void Ptr<FILE>::delete_obj()
{
fclose(obj); // no need to clear the pointer afterwards,
// it is done externally.
}
...
// now use it:
Ptr<FILE> f(fopen("myfile.txt", "r"));
if(f.empty())
throw ...;
fprintf(f, ....);
...
// the file will be closed automatically by the Ptr<FILE> destructor.
Note
The reference increment/decrement operations are implemented as atomic operations, and therefore it is normally safe to use the classes in multithreaded applications. The same is true for Mat and other C++ OpenCV classes that operate on the reference counters.
OpenCV C++ ndimensional dense array class
class CV_EXPORTS Mat
{
public:
// ... a lot of methods ...
...
/*! includes several bitfields:
 the magic signature
 continuity flag
 depth
 number of channels
*/
int flags;
//! the array dimensionality, >= 2
int dims;
//! the number of rows and columns or (1, 1) when the array has more than 2 dimensions
int rows, cols;
//! pointer to the data
uchar* data;
//! pointer to the reference counter;
// when array points to userallocated data, the pointer is NULL
int* refcount;
// other members
...
};
The class Mat represents an ndimensional dense numerical singlechannel or multichannel array. It can be used to store real or complexvalued vectors and matrices, grayscale or color images, voxel volumes, vector fields, point clouds, tensors, histograms (though, very highdimensional histograms may be better stored in a SparseMat ). The data layout of the array is defined by the array M.step[] , so that the address of element , where , is computed as:
In case of a 2dimensional array, the above formula is reduced to:
Note that M.step[i] >= M.step[i+1] (in fact, M.step[i] >= M.step[i+1]*M.size[i+1] ). This means that 2dimensional matrices are stored rowbyrow, 3dimensional matrices are stored planebyplane, and so on. M.step[M.dims1] is minimal and always equal to the element size M.elemSize() .
So, the data layout in Mat is fully compatible with CvMat, IplImage, and CvMatND types from OpenCV 1.x. It is also compatible with the majority of dense array types from the standard toolkits and SDKs, such as Numpy (ndarray), Win32 (independent device bitmaps), and others, that is, with any array that uses steps (or strides) to compute the position of a pixel. Due to this compatibility, it is possible to make a Mat header for userallocated data and process it inplace using OpenCV functions.
There are many different ways to create a Mat object. The most popular options are listed below:
Use the create(nrows, ncols, type) method or the similar Mat(nrows, ncols, type[, fillValue]) constructor. A new array of the specified size and type is allocated. type has the same meaning as in the cvCreateMat method. For example, CV_8UC1 means a 8bit singlechannel array, CV_32FC2 means a 2channel (complex) floatingpoint array, and so on.
// make a 7x7 complex matrix filled with 1+3j.
Mat M(7,7,CV_32FC2,Scalar(1,3));
// and now turn M to a 100x60 15channel 8bit matrix.
// The old content will be deallocated
M.create(100,60,CV_8UC(15));
As noted in the introduction to this chapter, create() allocates only a new array when the shape or type of the current array are different from the specified ones.
Create a multidimensional array:
// create a 100x100x100 8bit array
int sz[] = {100, 100, 100};
Mat bigCube(3, sz, CV_8U, Scalar::all(0));
It passes the number of dimensions =1 to the Mat constructor but the created array will be 2dimensional with the number of columns set to 1. So, Mat::dims is always >= 2 (can also be 0 when the array is empty).
Use a copy constructor or assignment operator where there can be an array or expression on the right side (see below). As noted in the introduction, the array assignment is an O(1) operation because it only copies the header and increases the reference counter. The Mat::clone() method can be used to get a full (deep) copy of the array when you need it.
Construct a header for a part of another array. It can be a single row, single column, several rows, several columns, rectangular region in the array (called a minor in algebra) or a diagonal. Such operations are also O(1) because the new header references the same data. You can actually modify a part of the array using this feature, for example:
// add the 5th row, multiplied by 3 to the 3rd row
M.row(3) = M.row(3) + M.row(5)*3;
// now copy the 7th column to the 1st column
// M.col(1) = M.col(7); // this will not work
Mat M1 = M.col(1);
M.col(7).copyTo(M1);
// create a new 320x240 image
Mat img(Size(320,240),CV_8UC3);
// select a ROI
Mat roi(img, Rect(10,10,100,100));
// fill the ROI with (0,255,0) (which is green in RGB space);
// the original 320x240 image will be modified
roi = Scalar(0,255,0);
Due to the additional datastart and dataend members, it is possible to compute a relative subarray position in the main container array using locateROI():
Mat A = Mat::eye(10, 10, CV_32S);
// extracts A columns, 1 (inclusive) to 3 (exclusive).
Mat B = A(Range::all(), Range(1, 3));
// extracts B rows, 5 (inclusive) to 9 (exclusive).
// that is, C ~ A(Range(5, 9), Range(1, 3))
Mat C = B(Range(5, 9), Range::all());
Size size; Point ofs;
C.locateROI(size, ofs);
// size will be (width=10,height=10) and the ofs will be (x=1, y=5)
As in case of whole matrices, if you need a deep copy, use the clone() method of the extracted submatrices.
Make a header for userallocated data. It can be useful to do the following:
Process “foreign” data using OpenCV (for example, when you implement a DirectShow* filter or a processing module for gstreamer, and so on). For example:
void process_video_frame(const unsigned char* pixels,
int width, int height, int step)
{
Mat img(height, width, CV_8UC3, pixels, step);
GaussianBlur(img, img, Size(7,7), 1.5, 1.5);
}
Quickly initialize small matrices and/or get a superfast element access.
double m[3][3] = {{a, b, c}, {d, e, f}, {g, h, i}};
Mat M = Mat(3, 3, CV_64F, m).inv();
Partial yet very common cases of this userallocated data case are conversions from CvMat and IplImage to Mat. For this purpose, there are special constructors taking pointers to CvMat or IplImage and the optional flag indicating whether to copy the data or not.
Backward conversion from Mat to CvMat or IplImage is provided via cast operators Mat::operator CvMat() const and Mat::operator IplImage(). The operators do NOT copy the data.
IplImage* img = cvLoadImage("greatwave.jpg", 1);
Mat mtx(img); // convert IplImage* > Mat
CvMat oldmat = mtx; // convert Mat > CvMat
CV_Assert(oldmat.cols == img>width && oldmat.rows == img>height &&
oldmat.data.ptr == (uchar*)img>imageData && oldmat.step == img>widthStep);
Use MATLABstyle array initializers, zeros(), ones(), eye(), for example:
// create a doubleprecision identity martix and add it to M.
M += Mat::eye(M.rows, M.cols, CV_64F);
Use a commaseparated initializer:
// create a 3x3 doubleprecision identity matrix
Mat M = (Mat_<double>(3,3) << 1, 0, 0, 0, 1, 0, 0, 0, 1);
With this approach, you first call a constructor of the Mat_ class with the proper parameters, and then you just put << operator followed by commaseparated values that can be constants, variables, expressions, and so on. Also, note the extra parentheses required to avoid compilation errors.
Once the array is created, it is automatically managed via a referencecounting mechanism. If the array header is built on top of userallocated data, you should handle the data by yourself. The array data is deallocated when no one points to it. If you want to release the data pointed by a array header before the array destructor is called, use Mat::release() .
The next important thing to learn about the array class is element access. This manual already described how to compute an address of each array element. Normally, you are not required to use the formula directly in the code. If you know the array element type (which can be retrieved using the method Mat::type() ), you can access the element of a 2dimensional array as:
M.at<double>(i,j) += 1.f;
assuming that M is a doubleprecision floatingpoint array. There are several variants of the method at for a different number of dimensions.
If you need to process a whole row of a 2D array, the most efficient way is to get the pointer to the row first, and then just use the plain C operator [] :
// compute sum of positive matrix elements
// (assuming that M isa doubleprecision matrix)
double sum=0;
for(int i = 0; i < M.rows; i++)
{
const double* Mi = M.ptr<double>(i);
for(int j = 0; j < M.cols; j++)
sum += std::max(Mi[j], 0.);
}
Some operations, like the one above, do not actually depend on the array shape. They just process elements of an array one by one (or elements from multiple arrays that have the same coordinates, for example, array addition). Such operations are called elementwise. It makes sense to check whether all the input/output arrays are continuous, namely, have no gaps at the end of each row. If yes, process them as a long single row:
// compute the sum of positive matrix elements, optimized variant
double sum=0;
int cols = M.cols, rows = M.rows;
if(M.isContinuous())
{
cols *= rows;
rows = 1;
}
for(int i = 0; i < rows; i++)
{
const double* Mi = M.ptr<double>(i);
for(int j = 0; j < cols; j++)
sum += std::max(Mi[j], 0.);
}
In case of the continuous matrix, the outer loop body is executed just once. So, the overhead is smaller, which is especially noticeable in case of small matrices.
Finally, there are STLstyle iterators that are smart enough to skip gaps between successive rows:
// compute sum of positive matrix elements, iteratorbased variant
double sum=0;
MatConstIterator_<double> it = M.begin<double>(), it_end = M.end<double>();
for(; it != it_end; ++it)
sum += std::max(*it, 0.);
The matrix iterators are randomaccess iterators, so they can be passed to any STL algorithm, including std::sort() .
This is a list of implemented matrix operations that can be combined in arbitrary complex expressions (here A, B stand for matrices ( Mat ), s for a scalar ( Scalar ), alpha for a realvalued scalar ( double )):
Addition, subtraction, negation: A+B, AB, A+s, As, s+A, sA, A
Scaling: A*alpha
Perelement multiplication and division: A.mul(B), A/B, alpha/A
Matrix multiplication: A*B
Transposition: A.t() (means A^{T})
Matrix inversion and pseudoinversion, solving linear systems and leastsquares problems:
A.inv([method]) (~ A^{1}) , A.inv([method])*B (~ X: AX=B)
Comparison: A cmpop B, A cmpop alpha, alpha cmpop A, where cmpop is one of : >, >=, ==, !=, <=, <. The result of comparison is an 8bit single channel mask whose elements are set to 255 (if the particular element or pair of elements satisfy the condition) or 0.
Bitwise logical operations: A logicop B, A logicop s, s logicop A, ~A, where logicop is one of : &, , ^.
Elementwise minimum and maximum: min(A, B), min(A, alpha), max(A, B), max(A, alpha)
Elementwise absolute value: abs(A)
Crossproduct, dotproduct: A.cross(B) A.dot(B)
Any function of matrix or matrices and scalars that returns a matrix or a scalar, such as norm, mean, sum, countNonZero, trace, determinant, repeat, and others.
Matrix initializers ( Mat::eye(), Mat::zeros(), Mat::ones() ), matrix commaseparated initializers, matrix constructors and operators that extract submatrices (see Mat description).
Mat_<destination_type>() constructors to cast the result to the proper type.
Note
Commaseparated initializers and probably some other operations may require additional explicit Mat() or Mat_<T>() constuctor calls to resolve a possible ambiguity.
Here are examples of matrix expressions:
// compute pseudoinverse of A, equivalent to A.inv(DECOMP_SVD)
SVD svd(A);
Mat pinvA = svd.vt.t()*Mat::diag(1./svd.w)*svd.u.t();
// compute the new vector of parameters in the LevenbergMarquardt algorithm
x = (A.t()*A + lambda*Mat::eye(A.cols,A.cols,A.type())).inv(DECOMP_CHOLESKY)*(A.t()*err);
// sharpen image using "unsharp mask" algorithm
Mat blurred; double sigma = 1, threshold = 5, amount = 1;
GaussianBlur(img, blurred, Size(), sigma, sigma);
Mat lowConstrastMask = abs(img  blurred) < threshold;
Mat sharpened = img*(1+amount) + blurred*(amount);
img.copyTo(sharpened, lowContrastMask);
Below is the formal description of the Mat methods.
Various Mat constructors
Parameters: 


These are various constructors that form a matrix. As noted in the Automatic Allocation of the Output Data, often the default constructor is enough, and the proper matrix will be allocated by an OpenCV function. The constructed matrix can further be assigned to another matrix or matrix expression or can be allocated with Mat::create() . In the former case, the old content is dereferenced.
Provides matrix assignment operators.
Parameters: 


These are available assignment operators. Since they all are very different, make sure to read the operator parameters description.
Provides a Mat to MatExpr cast operator.
The cast operator should not be called explicitly. It is used internally by the Matrix Expressions engine.
Creates a matrix header for the specified matrix row.
Parameters: 


The method makes a new header for the specified matrix row and returns it. This is an O(1) operation, regardless of the matrix size. The underlying data of the new matrix is shared with the original matrix. Here is the example of one of the classical basic matrix processing operations, axpy, used by LU and many other algorithms:
inline void matrix_axpy(Mat& A, int i, int j, double alpha)
{
A.row(i) += A.row(j)*alpha;
}
Note
In the current implementation, the following code does not work as expected:
Mat A;
...
A.row(i) = A.row(j); // will not work
This happens because A.row(i) forms a temporary header that is further assigned to another header. Remember that each of these operations is O(1), that is, no data is copied. Thus, the above assignment is not true if you may have expected the jth row to be copied to the ith row. To achieve that, you should either turn this simple assignment into an expression or use the Mat::copyTo() method:
Mat A;
...
// works, but looks a bit obscure.
A.row(i) = A.row(j) + 0;
// this is a bit longe, but the recommended method.
A.row(j).copyTo(A.row(i));
Creates a matrix header for the specified matrix column.
Parameters: 


The method makes a new header for the specified matrix column and returns it. This is an O(1) operation, regardless of the matrix size. The underlying data of the new matrix is shared with the original matrix. See also the Mat::row() description.
Creates a matrix header for the specified row span.
Parameters: 


The method makes a new header for the specified row span of the matrix. Similarly to Mat::row() and Mat::col() , this is an O(1) operation.
Creates a matrix header for the specified row span.
Parameters: 


The method makes a new header for the specified column span of the matrix. Similarly to Mat::row() and Mat::col() , this is an O(1) operation.
Extracts a diagonal from a matrix, or creates a diagonal matrix.
Parameters: 


The method makes a new header for the specified matrix diagonal. The new matrix is represented as a singlecolumn matrix. Similarly to Mat::row() and Mat::col() , this is an O(1) operation.
Creates a full copy of the array and the underlying data.
The method creates a full copy of the array. The original step[] is not taken into account. So, the array copy is a continuous array occupying total()*elemSize() bytes.
Copies the matrix to another one.
Parameters: 


The method copies the matrix data to another matrix. Before copying the data, the method invokes
m.create(this>size(), this>type);
so that the destination matrix is reallocated if needed. While m.copyTo(m); works flawlessly, the function does not handle the case of a partial overlap between the source and the destination matrices.
When the operation mask is specified, and the Mat::create call shown above reallocated the matrix, the newly allocated matrix is initialized with all zeros before copying the data.
Converts an array to another datatype with optional scaling.
Parameters: 


The method converts source pixel values to the target datatype. saturate_cast<> is applied at the end to avoid possible overflows:
Provides a functional form of convertTo.
Parameters: 


This is an internally used method called by the Matrix Expressions engine.
Sets all or some of the array elements to the specified value.
Parameters: 


Changes the shape and/or the number of channels of a 2D matrix without copying the data.
Parameters: 


The method makes a new matrix header for *this elements. The new matrix may have a different size and/or different number of channels. Any combination is possible if:
For example, if there is a set of 3D points stored as an STL vector, and you want to represent the points as a 3xN matrix, do the following:
std::vector<Point3f> vec;
...
Mat pointMat = Mat(vec). // convert vector to Mat, O(1) operation
reshape(1). // make Nx3 1channel matrix out of Nx1 3channel.
// Also, an O(1) operation
t(); // finally, transpose the Nx3 matrix.
// This involves copying all the elements
Transposes a matrix.
The method performs matrix transposition by means of matrix expressions. It does not perform the actual transposition but returns a temporary matrix transposition object that can be further used as a part of more complex matrix expressions or can be assigned to a matrix:
Mat A1 = A + Mat::eye(A.size(), A.type)*lambda;
Mat C = A1.t()*A1; // compute (A + lambda*I)^t * (A + lamda*I)
Inverses a matrix.
Parameters: 


The method performs a matrix inversion by means of matrix expressions. This means that a temporary matrix inversion object is returned by the method and can be used further as a part of more complex matrix expressions or can be assigned to a matrix.
Performs an elementwise multiplication or division of the two matrices.
Parameters: 


The method returns a temporary object encoding perelement array multiplication, with optional scale. Note that this is not a matrix multiplication that corresponds to a simpler “*” operator.
Example:
Mat C = A.mul(5/B); // equivalent to divide(A, B, C, 5)
Computes a crossproduct of two 3element vectors.
Parameters: 


The method computes a crossproduct of two 3element vectors. The vectors must be 3element floatingpoint vectors of the same shape and size. The result is another 3element vector of the same shape and type as operands.
Computes a dotproduct of two vectors.
Parameters: 


The method computes a dotproduct of two matrices. If the matrices are not singlecolumn or singlerow vectors, the toptobottom lefttoright scan ordering is used to treat them as 1D vectors. The vectors must have the same size and type. If the matrices have more than one channel, the dot products from all the channels are summed together.
Returns a zero array of the specified size and type.
Parameters: 


The method returns a Matlabstyle zero array initializer. It can be used to quickly form a constant array as a function parameter, part of a matrix expression, or as a matrix initializer.
Mat A;
A = Mat::zeros(3, 3, CV_32F);
In the example above, a new matrix is allocated only if A is not a 3x3 floatingpoint matrix. Otherwise, the existing matrix A is filled with zeros.
Returns an array of all 1’s of the specified size and type.
Parameters: 


The method returns a Matlabstyle 1’s array initializer, similarly to Mat::zeros(). Note that using this method you can initialize an array with an arbitrary value, using the following Matlab idiom:
Mat A = Mat::ones(100, 100, CV_8U)*3; // make 100x100 matrix filled with 3.
The above operation does not form a 100x100 matrix of 1’s and then multiply it by 3. Instead, it just remembers the scale factor (3 in this case) and use it when actually invoking the matrix initializer.
Returns an identity matrix of the specified size and type.
Parameters: 


The method returns a Matlabstyle identity matrix initializer, similarly to Mat::zeros(). Similarly to Mat::ones(), you can use a scale operation to create a scaled identity matrix efficiently:
// make a 4x4 diagonal matrix with 0.1's on the diagonal.
Mat A = Mat::eye(4, 4, CV_32F)*0.1;
Allocates new array data if needed.
Parameters: 


This is one of the key Mat methods. Most newstyle OpenCV functions and methods that produce arrays call this method for each output array. The method uses the following algorithm:
Such a scheme makes the memory management robust and efficient at the same time and helps avoid extra typing for you. This means that usually there is no need to explicitly allocate output arrays. That is, instead of writing:
Mat color;
...
Mat gray(color.rows, color.cols, color.depth());
cvtColor(color, gray, CV_BGR2GRAY);
you can simply write:
Mat color;
...
Mat gray;
cvtColor(color, gray, CV_BGR2GRAY);
because cvtColor , as well as the most of OpenCV functions, calls Mat::create() for the output array internally.
Increments the reference counter.
The method increments the reference counter associated with the matrix data. If the matrix header points to an external data set (see Mat::Mat() ), the reference counter is NULL, and the method has no effect in this case. Normally, to avoid memory leaks, the method should not be called explicitly. It is called implicitly by the matrix assignment operator. The reference counter increment is an atomic operation on the platforms that support it. Thus, it is safe to operate on the same matrices asynchronously in different threads.
Decrements the reference counter and deallocates the matrix if needed.
The method decrements the reference counter associated with the matrix data. When the reference counter reaches 0, the matrix data is deallocated and the data and the reference counter pointers are set to NULL’s. If the matrix header points to an external data set (see Mat::Mat() ), the reference counter is NULL, and the method has no effect in this case.
This method can be called manually to force the matrix data deallocation. But since this method is automatically called in the destructor, or by any other method that changes the data pointer, it is usually not needed. The reference counter decrement and check for 0 is an atomic operation on the platforms that support it. Thus, it is safe to operate on the same matrices asynchronously in different threads.
Changes the number of matrix rows.
Parameters: 


The methods change the number of matrix rows. If the matrix is reallocated, the first min(Mat::rows, sz) rows are preserved. The methods emulate the corresponding methods of the STL vector class.
Reserves space for the certain number of rows.
Parameters: 


The method reserves space for sz rows. If the matrix already has enough space to store sz rows, nothing happens. If the matrix is reallocated, the first Mat::rows rows are preserved. The method emulates the corresponding method of the STL vector class.
Adds elements to the bottom of the matrix.
Parameters: 


The methods add one or more elements to the bottom of the matrix. They emulate the corresponding method of the STL vector class. When elem is Mat , its type and the number of columns must be the same as in the container matrix.
Removes elements from the bottom of the matrix.
Parameters: 


The method removes one or more rows from the bottom of the matrix.
Locates the matrix header within a parent matrix.
Parameters: 


After you extracted a submatrix from a matrix using Mat::row(), Mat::col(), Mat::rowRange(), Mat::colRange() , and others, the resultant submatrix points just to the part of the original big matrix. However, each submatrix contains information (represented by datastart and dataend fields) that helps reconstruct the original matrix size and the position of the extracted submatrix within the original matrix. The method locateROI does exactly that.
Adjusts a submatrix size and position within the parent matrix.
Parameters: 


The method is complimentary to Mat::locateROI() . The typical use of these functions is to determine the submatrix position within the parent matrix and then shift the position somehow. Typically, it can be required for filtering operations when pixels outside of the ROI should be taken into account. When all the method parameters are positive, the ROI needs to grow in all directions by the specified amount, for example:
A.adjustROI(2, 2, 2, 2);
In this example, the matrix size is increased by 4 elements in each direction. The matrix is shifted by 2 elements to the left and 2 elements up, which brings in all the necessary pixels for the filtering with the 5x5 kernel.
It is your responsibility to make sure adjustROI does not cross the parent matrix boundary. If it does, the function signals an error.
The function is used internally by the OpenCV filtering functions, like filter2D() , morphological operations, and so on.
See also
copyMakeBorder()
Extracts a rectangular submatrix.
Parameters: 


The operators make a new header for the specified subarray of *this . They are the most generalized forms of Mat::row(), Mat::col(), Mat::rowRange(), and Mat::colRange() . For example, A(Range(0, 10), Range::all()) is equivalent to A.rowRange(0, 10) . Similarly to all of the above, the operators are O(1) operations, that is, no matrix data is copied.
Creates the CvMat header for the matrix.
The operator creates the CvMat header for the matrix without copying the underlying data. The reference counter is not taken into account by this operation. Thus, you should make sure than the original matrix is not deallocated while the CvMat header is used. The operator is useful for intermixing the new and the old OpenCV API’s, for example:
Mat img(Size(320, 240), CV_8UC3);
...
CvMat cvimg = img;
mycvOldFunc( &cvimg, ...);
where mycvOldFunc is a function written to work with OpenCV 1.x data structures.
Creates the IplImage header for the matrix.
The operator creates the IplImage header for the matrix without copying the underlying data. You should make sure than the original matrix is not deallocated while the IplImage header is used. Similarly to Mat::operator CvMat , the operator is useful for intermixing the new and the old OpenCV API’s.
Returns the total number of array elements.
The method returns the number of array elements (a number of pixels if the array represents an image).
Reports whether the matrix is continuous or not.
The method returns true if the matrix elements are stored continuously without gaps at the end of each row. Otherwise, it returns false. Obviously, 1x1 or 1xN matrices are always continuous. Matrices created with Mat::create() are always continuous. But if you extract a part of the matrix using Mat::col(), Mat::diag() , and so on, or constructed a matrix header for externally allocated data, such matrices may no longer have this property.
The continuity flag is stored as a bit in the Mat::flags field and is computed automatically when you construct a matrix header. Thus, the continuity check is a very fast operation, though theoretically it could be done as follows:
// alternative implementation of Mat::isContinuous()
bool myCheckMatContinuity(const Mat& m)
{
//return (m.flags & Mat::CONTINUOUS_FLAG) != 0;
return m.rows == 1  m.step == m.cols*m.elemSize();
}
The method is used in quite a few of OpenCV functions. The point is that elementwise operations (such as arithmetic and logical operations, math functions, alpha blending, color space transformations, and others) do not depend on the image geometry. Thus, if all the input and output arrays are continuous, the functions can process them as very long singlerow vectors. The example below illustrates how an alphablending function can be implemented.
template<typename T>
void alphaBlendRGBA(const Mat& src1, const Mat& src2, Mat& dst)
{
const float alpha_scale = (float)std::numeric_limits<T>::max(),
inv_scale = 1.f/alpha_scale;
CV_Assert( src1.type() == src2.type() &&
src1.type() == CV_MAKETYPE(DataType<T>::depth, 4) &&
src1.size() == src2.size());
Size size = src1.size();
dst.create(size, src1.type());
// here is the idiom: check the arrays for continuity and,
// if this is the case,
// treat the arrays as 1D vectors
if( src1.isContinuous() && src2.isContinuous() && dst.isContinuous() )
{
size.width *= size.height;
size.height = 1;
}
size.width *= 4;
for( int i = 0; i < size.height; i++ )
{
// when the arrays are continuous,
// the outer loop is executed only once
const T* ptr1 = src1.ptr<T>(i);
const T* ptr2 = src2.ptr<T>(i);
T* dptr = dst.ptr<T>(i);
for( int j = 0; j < size.width; j += 4 )
{
float alpha = ptr1[j+3]*inv_scale, beta = ptr2[j+3]*inv_scale;
dptr[j] = saturate_cast<T>(ptr1[j]*alpha + ptr2[j]*beta);
dptr[j+1] = saturate_cast<T>(ptr1[j+1]*alpha + ptr2[j+1]*beta);
dptr[j+2] = saturate_cast<T>(ptr1[j+2]*alpha + ptr2[j+2]*beta);
dptr[j+3] = saturate_cast<T>((1  (1alpha)*(1beta))*alpha_scale);
}
}
}
This approach, while being very simple, can boost the performance of a simple elementoperation by 1020 percents, especially if the image is rather small and the operation is quite simple.
Another OpenCV idiom in this function, a call of Mat::create() for the destination array, that allocates the destination array unless it already has the proper size and type. And while the newly allocated arrays are always continuous, you still need to check the destination array because Mat::create() does not always allocate a new matrix.
Returns the matrix element size in bytes.
The method returns the matrix element size in bytes. For example, if the matrix type is CV_16SC3 , the method returns 3*sizeof(short) or 6.
Returns the size of each matrix element channel in bytes.
The method returns the matrix element channel size in bytes, that is, it ignores the number of channels. For example, if the matrix type is CV_16SC3 , the method returns sizeof(short) or 2.
Returns the type of a matrix element.
The method returns a matrix element type. This is an identifier compatible with the CvMat type system, like CV_16SC3 or 16bit signed 3channel array, and so on.
Returns the depth of a matrix element.
The method returns the identifier of the matrix element depth (the type of each individual channel). For example, for a 16bit signed 3channel array, the method returns CV_16S . A complete list of matrix types contains the following values:
Returns the number of matrix channels.
The method returns the number of matrix channels.
Returns a normalized step.
The method returns a matrix step divided by Mat::elemSize1() . It can be useful to quickly access an arbitrary matrix element.
Returns a matrix size.
The method returns a matrix size: Size(cols, rows) . When the matrix is more than 2dimensional, the returned size is (1, 1).
Returns true if the array has no elemens.
The method returns true if Mat::total() is 0 or if Mat::data is NULL. Because of pop_back() and resize() methods M.total() == 0 does not imply that M.data == NULL .
Returns a pointer to the specified matrix row.
Parameters: 


The methods return uchar* or typed pointer to the specified matrix row. See the sample in Mat::isContinuous() to know how to use these methods.
Returns a reference to the specified array element.
Parameters: 


The template methods return a reference to the specified array element. For the sake of higher performance, the index range checks are only performed in the Debug configuration.
Note that the variants with a single index (i) can be used to access elements of singlerow or singlecolumn 2dimensional arrays. That is, if, for example, A is a 1 x N floatingpoint matrix and B is an M x 1 integer matrix, you can simply write A.at<float>(k+4) and B.at<int>(2*i+1) instead of A.at<float>(0,k+4) and B.at<int>(2*i+1,0) , respectively.
The example below initializes a Hilbert matrix:
Mat H(100, 100, CV_64F);
for(int i = 0; i < H.rows; i++)
for(int j = 0; j < H.cols; j++)
H.at<double>(i,j)=1./(i+j+1);
Returns the matrix iterator and sets it to the first matrix element.
The methods return the matrix readonly or readwrite iterators. The use of matrix iterators is very similar to the use of bidirectional STL iterators. In the example below, the alpha blending function is rewritten using the matrix iterators:
template<typename T>
void alphaBlendRGBA(const Mat& src1, const Mat& src2, Mat& dst)
{
typedef Vec<T, 4> VT;
const float alpha_scale = (float)std::numeric_limits<T>::max(),
inv_scale = 1.f/alpha_scale;
CV_Assert( src1.type() == src2.type() &&
src1.type() == DataType<VT>::type &&
src1.size() == src2.size());
Size size = src1.size();
dst.create(size, src1.type());
MatConstIterator_<VT> it1 = src1.begin<VT>(), it1_end = src1.end<VT>();
MatConstIterator_<VT> it2 = src2.begin<VT>();
MatIterator_<VT> dst_it = dst.begin<VT>();
for( ; it1 != it1_end; ++it1, ++it2, ++dst_it )
{
VT pix1 = *it1, pix2 = *it2;
float alpha = pix1[3]*inv_scale, beta = pix2[3]*inv_scale;
*dst_it = VT(saturate_cast<T>(pix1[0]*alpha + pix2[0]*beta),
saturate_cast<T>(pix1[1]*alpha + pix2[1]*beta),
saturate_cast<T>(pix1[2]*alpha + pix2[2]*beta),
saturate_cast<T>((1  (1alpha)*(1beta))*alpha_scale));
}
}
Returns the matrix iterator and sets it to the afterlast matrix element.
The methods return the matrix readonly or readwrite iterators, set to the point following the last matrix element.
Template matrix class derived from Mat .
template<typename _Tp> class Mat_ : public Mat
{
public:
// ... some specific methods
// and
// no new extra fields
};
The class Mat_<_Tp> is a “thin” template wrapper on top of the Mat class. It does not have any extra data fields. Nor this class nor Mat has any virtual methods. Thus, references or pointers to these two classes can be freely but carefully converted one to another. For example:
// create a 100x100 8bit matrix
Mat M(100,100,CV_8U);
// this will be compiled fine. no any data conversion will be done.
Mat_<float>& M1 = (Mat_<float>&)M;
// the program is likely to crash at the statement below
M1(99,99) = 1.f;
While Mat is sufficient in most cases, Mat_ can be more convenient if you use a lot of element access operations and if you know matrix type at the compilation time. Note that Mat::at<_Tp>(int y, int x) and Mat_<_Tp>::operator ()(int y, int x) do absolutely the same and run at the same speed, but the latter is certainly shorter:
Mat_<double> M(20,20);
for(int i = 0; i < M.rows; i++)
for(int j = 0; j < M.cols; j++)
M(i,j) = 1./(i+j+1);
Mat E, V;
eigen(M,E,V);
cout << E.at<double>(0,0)/E.at<double>(M.rows1,0);
To use Mat_ for multichannel images/matrices, pass Vec as a Mat_ parameter:
// allocate a 320x240 color image and fill it with green (in RGB space)
Mat_<Vec3b> img(240, 320, Vec3b(0,255,0));
// now draw a diagonal white line
for(int i = 0; i < 100; i++)
img(i,i)=Vec3b(255,255,255);
// and now scramble the 2nd (red) channel of each pixel
for(int i = 0; i < img.rows; i++)
for(int j = 0; j < img.cols; j++)
img(i,j)[2] ^= (uchar)(i ^ j);
nary multidimensional array iterator.
class CV_EXPORTS NAryMatIterator
{
public:
//! the default constructor
NAryMatIterator();
//! the full constructor taking arbitrary number of ndim matrices
NAryMatIterator(const Mat** arrays, Mat* planes, int narrays=1);
//! the separate iterator initialization method
void init(const Mat** arrays, Mat* planes, int narrays=1);
//! proceeds to the next plane of every iterated matrix
NAryMatIterator& operator ++();
//! proceeds to the next plane of every iterated matrix (postfix increment operator)
NAryMatIterator operator ++(int);
...
int nplanes; // the total number of planes
};
Use the class to implement unary, binary, and, generally, nary elementwise operations on multidimensional arrays. Some of the arguments of an nary function may be continuous arrays, some may be not. It is possible to use conventional MatIterator ‘s for each array but incrementing all of the iterators after each small operations may be a big overhead. In this case consider using NAryMatIterator to iterate through several matrices simultaneously as long as they have the same geometry (dimensionality and all the dimension sizes are the same). On each iteration it.planes[0], it.planes[1] , ... will be the slices of the corresponding matrices.
The example below illustrates how you can compute a normalized and threshold 3D color histogram:
void computeNormalizedColorHist(const Mat& image, Mat& hist, int N, double minProb)
{
const int histSize[] = {N, N, N};
// make sure that the histogram has a proper size and type
hist.create(3, histSize, CV_32F);
// and clear it
hist = Scalar(0);
// the loop below assumes that the image
// is a 8bit 3channel. check it.
CV_Assert(image.type() == CV_8UC3);
MatConstIterator_<Vec3b> it = image.begin<Vec3b>(),
it_end = image.end<Vec3b>();
for( ; it != it_end; ++it )
{
const Vec3b& pix = *it;
hist.at<float>(pix[0]*N/256, pix[1]*N/256, pix[2]*N/256) += 1.f;
}
minProb *= image.rows*image.cols;
Mat plane;
NAryMatIterator it(&hist, &plane, 1);
double s = 0;
// iterate through the matrix. on each iteration
// it.planes[*] (of type Mat) will be set to the current plane.
for(int p = 0; p < it.nplanes; p++, ++it)
{
threshold(it.planes[0], it.planes[0], minProb, 0, THRESH_TOZERO);
s += sum(it.planes[0])[0];
}
s = 1./s;
it = NAryMatIterator(&hist, &plane, 1);
for(int p = 0; p < it.nplanes; p++, ++it)
it.planes[0] *= s;
}
Sparse ndimensional array.
class SparseMat
{
public:
typedef SparseMatIterator iterator;
typedef SparseMatConstIterator const_iterator;
// internal structure  sparse matrix header
struct Hdr
{
...
};
// sparse matrix node  element of a hash table
struct Node
{
size_t hashval;
size_t next;
int idx[CV_MAX_DIM];
};
////////// constructors and destructor //////////
// default constructor
SparseMat();
// creates matrix of the specified size and type
SparseMat(int dims, const int* _sizes, int _type);
// copy constructor
SparseMat(const SparseMat& m);
// converts dense array to the sparse form,
// if try1d is true and matrix is a singlecolumn matrix (Nx1),
// then the sparse matrix will be 1dimensional.
SparseMat(const Mat& m, bool try1d=false);
// converts an oldstyle sparse matrix to the new style.
// all the data is copied so that "m" can be safely
// deleted after the conversion
SparseMat(const CvSparseMat* m);
// destructor
~SparseMat();
///////// assignment operations ///////////
// this is an O(1) operation; no data is copied
SparseMat& operator = (const SparseMat& m);
// (equivalent to the corresponding constructor with try1d=false)
SparseMat& operator = (const Mat& m);
// creates a full copy of the matrix
SparseMat clone() const;
// copy all the data to the destination matrix.
// the destination will be reallocated if needed.
void copyTo( SparseMat& m ) const;
// converts 1D or 2D sparse matrix to dense 2D matrix.
// If the sparse matrix is 1D, the result will
// be a singlecolumn matrix.
void copyTo( Mat& m ) const;
// converts arbitrary sparse matrix to dense matrix.
// multiplies all the matrix elements by the specified scalar
void convertTo( SparseMat& m, int rtype, double alpha=1 ) const;
// converts sparse matrix to dense matrix with optional type conversion and scaling.
// When rtype=1, the destination element type will be the same
// as the sparse matrix element type.
// Otherwise, rtype will specify the depth and
// the number of channels will remain the same as in the sparse matrix
void convertTo( Mat& m, int rtype, double alpha=1, double beta=0 ) const;
// not used now
void assignTo( SparseMat& m, int type=1 ) const;
// reallocates sparse matrix. If it was already of the proper size and type,
// it is simply cleared with clear(), otherwise,
// the old matrix is released (using release()) and the new one is allocated.
void create(int dims, const int* _sizes, int _type);
// sets all the matrix elements to 0, which means clearing the hash table.
void clear();
// manually increases reference counter to the header.
void addref();
// decreses the header reference counter when it reaches 0.
// the header and all the underlying data are deallocated.
void release();
// converts sparse matrix to the oldstyle representation.
// all the elements are copied.
operator CvSparseMat*() const;
// size of each element in bytes
// (the matrix nodes will be bigger because of
// element indices and other SparseMat::Node elements).
size_t elemSize() const;
// elemSize()/channels()
size_t elemSize1() const;
// the same is in Mat
int type() const;
int depth() const;
int channels() const;
// returns the array of sizes and 0 if the matrix is not allocated
const int* size() const;
// returns ith size (or 0)
int size(int i) const;
// returns the matrix dimensionality
int dims() const;
// returns the number of nonzero elements
size_t nzcount() const;
// compute element hash value from the element indices:
// 1D case
size_t hash(int i0) const;
// 2D case
size_t hash(int i0, int i1) const;
// 3D case
size_t hash(int i0, int i1, int i2) const;
// nD case
size_t hash(const int* idx) const;
// lowlevel elementaccess functions,
// special variants for 1D, 2D, 3D cases, and the generic one for nD case.
//
// return pointer to the matrix element.
// if the element is there (it is nonzero), the pointer to it is returned
// if it is not there and createMissing=false, NULL pointer is returned
// if it is not there and createMissing=true, the new element
// is created and initialized with 0. Pointer to it is returned.
// If the optional hashval pointer is not NULL, the element hash value is
// not computed but *hashval is taken instead.
uchar* ptr(int i0, bool createMissing, size_t* hashval=0);
uchar* ptr(int i0, int i1, bool createMissing, size_t* hashval=0);
uchar* ptr(int i0, int i1, int i2, bool createMissing, size_t* hashval=0);
uchar* ptr(const int* idx, bool createMissing, size_t* hashval=0);
// higherlevel element access functions:
// ref<_Tp>(i0,...[,hashval])  equivalent to *(_Tp*)ptr(i0,...true[,hashval]).
// always return valid reference to the element.
// If it does not exist, it is created.
// find<_Tp>(i0,...[,hashval])  equivalent to (_const Tp*)ptr(i0,...false[,hashval]).
// return pointer to the element or NULL pointer if the element is not there.
// value<_Tp>(i0,...[,hashval])  equivalent to
// { const _Tp* p = find<_Tp>(i0,...[,hashval]); return p ? *p : _Tp(); }
// that is, 0 is returned when the element is not there.
// note that _Tp must match the actual matrix type 
// the functions do not do any onfly type conversion
// 1D case
template<typename _Tp> _Tp& ref(int i0, size_t* hashval=0);
template<typename _Tp> _Tp value(int i0, size_t* hashval=0) const;
template<typename _Tp> const _Tp* find(int i0, size_t* hashval=0) const;
// 2D case
template<typename _Tp> _Tp& ref(int i0, int i1, size_t* hashval=0);
template<typename _Tp> _Tp value(int i0, int i1, size_t* hashval=0) const;
template<typename _Tp> const _Tp* find(int i0, int i1, size_t* hashval=0) const;
// 3D case
template<typename _Tp> _Tp& ref(int i0, int i1, int i2, size_t* hashval=0);
template<typename _Tp> _Tp value(int i0, int i1, int i2, size_t* hashval=0) const;
template<typename _Tp> const _Tp* find(int i0, int i1, int i2, size_t* hashval=0) const;
// nD case
template<typename _Tp> _Tp& ref(const int* idx, size_t* hashval=0);
template<typename _Tp> _Tp value(const int* idx, size_t* hashval=0) const;
template<typename _Tp> const _Tp* find(const int* idx, size_t* hashval=0) const;
// erase the specified matrix element.
// when there is no such an element, the methods do nothing
void erase(int i0, int i1, size_t* hashval=0);
void erase(int i0, int i1, int i2, size_t* hashval=0);
void erase(const int* idx, size_t* hashval=0);
// return the matrix iterators,
// pointing to the first sparse matrix element,
SparseMatIterator begin();
SparseMatConstIterator begin() const;
// ... or to the point after the last sparse matrix element
SparseMatIterator end();
SparseMatConstIterator end() const;
// and the template forms of the above methods.
// _Tp must match the actual matrix type.
template<typename _Tp> SparseMatIterator_<_Tp> begin();
template<typename _Tp> SparseMatConstIterator_<_Tp> begin() const;
template<typename _Tp> SparseMatIterator_<_Tp> end();
template<typename _Tp> SparseMatConstIterator_<_Tp> end() const;
// return value stored in the sparse martix node
template<typename _Tp> _Tp& value(Node* n);
template<typename _Tp> const _Tp& value(const Node* n) const;
////////////// some internally used methods ///////////////
...
// pointer to the sparse matrix header
Hdr* hdr;
};
The class SparseMat represents multidimensional sparse numerical arrays. Such a sparse array can store elements of any type that Mat can store. Sparse means that only nonzero elements are stored (though, as a result of operations on a sparse matrix, some of its stored elements can actually become 0. It is up to you to detect such elements and delete them using SparseMat::erase ). The nonzero elements are stored in a hash table that grows when it is filled so that the search time is O(1) in average (regardless of whether element is there or not). Elements can be accessed using the following methods:
Query operations ( SparseMat::ptr and the higherlevel SparseMat::ref, SparseMat::value and SparseMat::find ), for example:
const int dims = 5;
int size[] = {10, 10, 10, 10, 10};
SparseMat sparse_mat(dims, size, CV_32F);
for(int i = 0; i < 1000; i++)
{
int idx[dims];
for(int k = 0; k < dims; k++)
idx[k] = rand()
sparse_mat.ref<float>(idx) += 1.f;
}
Sparse matrix iterators. They are similar to MatIterator but different from NAryMatIterator. That is, the iteration loop is familiar to STL users:
// prints elements of a sparse floatingpoint matrix
// and the sum of elements.
SparseMatConstIterator_<float>
it = sparse_mat.begin<float>(),
it_end = sparse_mat.end<float>();
double s = 0;
int dims = sparse_mat.dims();
for(; it != it_end; ++it)
{
// print element indices and the element value
const Node* n = it.node();
printf("(")
for(int i = 0; i < dims; i++)
printf("
printf(":
s += *it;
}
printf("Element sum is
If you run this loop, you will notice that elements are not enumerated in a logical order (lexicographical, and so on). They come in the same order as they are stored in the hash table (semirandomly). You may collect pointers to the nodes and sort them to get the proper ordering. Note, however, that pointers to the nodes may become invalid when you add more elements to the matrix. This may happen due to possible buffer reallocation.
Combination of the above 2 methods when you need to process 2 or more sparse matrices simultaneously. For example, this is how you can compute unnormalized crosscorrelation of the 2 floatingpoint sparse matrices:
double cross_corr(const SparseMat& a, const SparseMat& b)
{
const SparseMat *_a = &a, *_b = &b;
// if b contains less elements than a,
// it is faster to iterate through b
if(_a>nzcount() > _b>nzcount())
std::swap(_a, _b);
SparseMatConstIterator_<float> it = _a>begin<float>(),
it_end = _a>end<float>();
double ccorr = 0;
for(; it != it_end; ++it)
{
// take the next element from the first matrix
float avalue = *it;
const Node* anode = it.node();
// and try to find an element with the same index in the second matrix.
// since the hash value depends only on the element index,
// reuse the hash value stored in the node
float bvalue = _b>value<float>(anode>idx,&anode>hashval);
ccorr += avalue*bvalue;
}
return ccorr;
}
Template sparse ndimensional array class derived from SparseMat
template<typename _Tp> class SparseMat_ : public SparseMat
{
public:
typedef SparseMatIterator_<_Tp> iterator;
typedef SparseMatConstIterator_<_Tp> const_iterator;
// constructors;
// the created matrix will have data type = DataType<_Tp>::type
SparseMat_();
SparseMat_(int dims, const int* _sizes);
SparseMat_(const SparseMat& m);
SparseMat_(const SparseMat_& m);
SparseMat_(const Mat& m);
SparseMat_(const CvSparseMat* m);
// assignment operators; data type conversion is done when necessary
SparseMat_& operator = (const SparseMat& m);
SparseMat_& operator = (const SparseMat_& m);
SparseMat_& operator = (const Mat& m);
// equivalent to the correspoding parent class methods
SparseMat_ clone() const;
void create(int dims, const int* _sizes);
operator CvSparseMat*() const;
// overriden methods that do extra checks for the data type
int type() const;
int depth() const;
int channels() const;
// more convenient element access operations.
// ref() is retained (but <_Tp> specification is not needed anymore);
// operator () is equivalent to SparseMat::value<_Tp>
_Tp& ref(int i0, size_t* hashval=0);
_Tp operator()(int i0, size_t* hashval=0) const;
_Tp& ref(int i0, int i1, size_t* hashval=0);
_Tp operator()(int i0, int i1, size_t* hashval=0) const;
_Tp& ref(int i0, int i1, int i2, size_t* hashval=0);
_Tp operator()(int i0, int i1, int i2, size_t* hashval=0) const;
_Tp& ref(const int* idx, size_t* hashval=0);
_Tp operator()(const int* idx, size_t* hashval=0) const;
// iterators
SparseMatIterator_<_Tp> begin();
SparseMatConstIterator_<_Tp> begin() const;
SparseMatIterator_<_Tp> end();
SparseMatConstIterator_<_Tp> end() const;
};
SparseMat_ is a thin wrapper on top of SparseMat created in the same way as Mat_ . It simplifies notation of some operations.
int sz[] = {10, 20, 30};
SparseMat_<double> M(3, sz);
...
M.ref(1, 2, 3) = M(4, 5, 6) + M(7, 8, 9);