cornerEigenValsAndVecs
Calculates eigenvalues and eigenvectors of image blocks for corner detection.
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C++: void cornerEigenValsAndVecs(InputArray src, OutputArray dst, int blockSize, int apertureSize, int borderType=BORDER_DEFAULT )
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Python: cv2.cornerEigenValsAndVecs(src, blockSize, ksize[, dst[, borderType]]) → dst
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C: void cvCornerEigenValsAndVecs(const CvArr* image, CvArr* eigenvv, int blockSize, int apertureSize=3 )
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Python: cv.CornerEigenValsAndVecs(image, eigenvv, blockSize, apertureSize=3) → None
Parameters: |
- src – Input single-channel 8-bit or floating-point image.
- dst – Image to store the results. It has the same size as src and the type CV_32FC(6) .
- blockSize – Neighborhood size (see details below).
- apertureSize – Aperture parameter for the Sobel() operator.
- boderType – Pixel extrapolation method. See borderInterpolate() .
|
For every pixel
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, the function
cornerEigenValsAndVecs considers a
blockSize
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blockSize neigborhood
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. It calculates the covariation matrix of derivatives over the neighborhood as:
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where the derivatives are computed using the
Sobel() operator.
After that, it finds eigenvectors and eigenvalues of
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and stores them in the destination image as
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where
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are the non-sorted eigenvalues of
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System Message: WARNING/2 (x_1, y_1)
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are the eigenvectors corresponding to
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are the eigenvectors corresponding to
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The output of the function can be used for robust edge or corner detection.
See also
cornerMinEigenVal(),
cornerHarris(),
preCornerDetect()
cornerHarris
Harris edge detector.
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C++: void cornerHarris(InputArray src, OutputArray dst, int blockSize, int apertureSize, double k, int borderType=BORDER_DEFAULT )
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Python: cv2.cornerHarris(src, blockSize, ksize, k[, dst[, borderType]]) → dst
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C: void cvCornerHarris(const CvArr* image, CvArr* harrisDst, int blockSize, int apertureSize=3, double k=0.04 )
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Python: cv.CornerHarris(image, harrisDst, blockSize, apertureSize=3, k=0.04) → None
Parameters: |
- src – Input single-channel 8-bit or floating-point image.
- dst – Image to store the Harris detector responses. It has the type CV_32FC1 and the same size as src .
- blockSize – Neighborhood size (see the details on cornerEigenValsAndVecs() ).
- apertureSize – Aperture parameter for the Sobel() operator.
- k – Harris detector free parameter. See the formula below.
- boderType – Pixel extrapolation method. See borderInterpolate() .
|
The function runs the Harris edge detector on the image. Similarly to
cornerMinEigenVal() and
cornerEigenValsAndVecs() , for each pixel
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it calculates a
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gradient covariance matrix
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over a
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neighborhood. Then, it computes the following characteristic:
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Corners in the image can be found as the local maxima of this response map.
cornerSubPix
Refines the corner locations.
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C++: void cornerSubPix(InputArray image, InputOutputArray corners, Size winSize, Size zeroZone, TermCriteria criteria)
-
Python: cv2.cornerSubPix(image, corners, winSize, zeroZone, criteria) → None
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C: void cvFindCornerSubPix(const CvArr* image, CvPoint2D32f* corners, int count, CvSize winSize, CvSize zeroZone, CvTermCriteria criteria)
-
Python: cv.FindCornerSubPix(image, corners, winSize, zeroZone, criteria) → corners
Parameters: |
- image – Input image.
- corners – Initial coordinates of the input corners and refined coordinates provided for output.
- winSize – Half of the side length of the search window. For example, if winSize=Size(5,5) , then a
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- zeroZone – Half of the size of the dead region in the middle of the search zone over which the summation in the formula below is not done. It is used sometimes to avoid possible singularities of the autocorrelation matrix. The value of (-1,-1) indicates that there is no such a size.
- criteria – Criteria for termination of the iterative process of corner refinement. That is, the process of corner position refinement stops either after criteria.maxCount iterations or when the corner position moves by less than criteria.epsilon on some iteration.
|
The function iterates to find the sub-pixel accurate location of corners or radial saddle points, as shown on the figure below.
Sub-pixel accurate corner locator is based on the observation that every vector from the center
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to a point
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! LaTeX Error: File `bbm.sty’ not found.
Type X to quit or <RETURN> to proceed,
or enter new name. (Default extension: sty)
Enter file name:
! Emergency stop.
<read *>
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No pages of output.
Transcript written on math.log.
located within a neighborhood of
System Message: WARNING/2 (q)
latex exited with error:
[stderr]
[stdout]
This is pdfTeX, Version 3.1415926-1.40.10 (TeX Live 2009/Debian)
entering extended mode
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LaTeX2e <2009/09/24>
Babel <v3.8l> and hyphenation patterns for english, usenglishmax, dumylang, noh
yphenation, loaded.
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(/usr/share/texmf-texlive/tex/latex/amsmath/amsmath.sty
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(/usr/share/texmf-texlive/tex/latex/amsmath/amstext.sty
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! LaTeX Error: File `bbm.sty’ not found.
Type X to quit or <RETURN> to proceed,
or enter new name. (Default extension: sty)
Enter file name:
! Emergency stop.
<read *>
l.11 ...ackage{amsmath}\usepackage{bbm}\usepackage
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No pages of output.
Transcript written on math.log.
is orthogonal to the image gradient at
System Message: WARNING/2 (p)
latex exited with error:
[stderr]
[stdout]
This is pdfTeX, Version 3.1415926-1.40.10 (TeX Live 2009/Debian)
entering extended mode
(./math.tex
LaTeX2e <2009/09/24>
Babel <v3.8l> and hyphenation patterns for english, usenglishmax, dumylang, noh
yphenation, loaded.
(/usr/share/texmf-texlive/tex/latex/base/article.cls
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(/usr/share/texmf-texlive/tex/latex/ucs/data/uni-global.def))
(/usr/share/texmf-texlive/tex/latex/amsmath/amsmath.sty
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(/usr/share/texmf-texlive/tex/latex/amsmath/amstext.sty
(/usr/share/texmf-texlive/tex/latex/amsmath/amsgen.sty))
(/usr/share/texmf-texlive/tex/latex/amsmath/amsbsy.sty)
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Package: `euler’ v2.5 <1995/03/05> (FJ and FMi)
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(/usr/share/texmf-texlive/tex/latex/graphics/dvips.def)
(/usr/share/texmf-texlive/tex/latex/graphics/dvipsnam.def))
! LaTeX Error: File `bbm.sty’ not found.
Type X to quit or <RETURN> to proceed,
or enter new name. (Default extension: sty)
Enter file name:
! Emergency stop.
<read *>
l.11 ...ackage{amsmath}\usepackage{bbm}\usepackage
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No pages of output.
Transcript written on math.log.
subject to image and measurement noise. Consider the expression:
System Message: WARNING/2 (\epsilon _i = {DI_{p_i}}^T \cdot (q - p_i))
latex exited with error:
[stderr]
[stdout]
This is pdfTeX, Version 3.1415926-1.40.10 (TeX Live 2009/Debian)
entering extended mode
(./math.tex
LaTeX2e <2009/09/24>
Babel <v3.8l> and hyphenation patterns for english, usenglishmax, dumylang, noh
yphenation, loaded.
(/usr/share/texmf-texlive/tex/latex/base/article.cls
Document Class: article 2007/10/19 v1.4h Standard LaTeX document class
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(/usr/share/texmf-texlive/tex/latex/amsmath/amsmath.sty
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(/usr/share/texmf-texlive/tex/latex/amsmath/amstext.sty
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(/usr/share/texmf-texlive/tex/latex/amscls/amsthm.sty)
(/usr/share/texmf-texlive/tex/latex/amsfonts/amssymb.sty
(/usr/share/texmf-texlive/tex/latex/amsfonts/amsfonts.sty))
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Package: `euler’ v2.5 <1995/03/05> (FJ and FMi)
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(/usr/share/texmf-texlive/tex/latex/graphics/dvipsnam.def))
! LaTeX Error: File `bbm.sty’ not found.
Type X to quit or <RETURN> to proceed,
or enter new name. (Default extension: sty)
Enter file name:
! Emergency stop.
<read *>
l.11 ...ackage{amsmath}\usepackage{bbm}\usepackage
{colortbl}^^M
No pages of output.
Transcript written on math.log.
where
System Message: WARNING/2 ({DI_{p_i}})
latex exited with error:
[stderr]
[stdout]
This is pdfTeX, Version 3.1415926-1.40.10 (TeX Live 2009/Debian)
entering extended mode
(./math.tex
LaTeX2e <2009/09/24>
Babel <v3.8l> and hyphenation patterns for english, usenglishmax, dumylang, noh
yphenation, loaded.
(/usr/share/texmf-texlive/tex/latex/base/article.cls
Document Class: article 2007/10/19 v1.4h Standard LaTeX document class
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(/usr/share/texmf-texlive/tex/latex/base/inputenc.sty
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(/usr/share/texmf-texlive/tex/latex/amsmath/amsmath.sty
For additional information on amsmath, use the `?’ option.
(/usr/share/texmf-texlive/tex/latex/amsmath/amstext.sty
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(/usr/share/texmf-texlive/tex/latex/amsfonts/amssymb.sty
(/usr/share/texmf-texlive/tex/latex/amsfonts/amsfonts.sty))
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(/usr/share/texmf-texlive/tex/latex/euler/euler.sty
Package: `euler’ v2.5 <1995/03/05> (FJ and FMi)
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(/usr/share/texmf-texlive/tex/latex/graphics/dvips.def)
(/usr/share/texmf-texlive/tex/latex/graphics/dvipsnam.def))
! LaTeX Error: File `bbm.sty’ not found.
Type X to quit or <RETURN> to proceed,
or enter new name. (Default extension: sty)
Enter file name:
! Emergency stop.
<read *>
l.11 ...ackage{amsmath}\usepackage{bbm}\usepackage
{colortbl}^^M
No pages of output.
Transcript written on math.log.
is an image gradient at one of the points
System Message: WARNING/2 (p_i)
latex exited with error:
[stderr]
[stdout]
This is pdfTeX, Version 3.1415926-1.40.10 (TeX Live 2009/Debian)
entering extended mode
(./math.tex
LaTeX2e <2009/09/24>
Babel <v3.8l> and hyphenation patterns for english, usenglishmax, dumylang, noh
yphenation, loaded.
(/usr/share/texmf-texlive/tex/latex/base/article.cls
Document Class: article 2007/10/19 v1.4h Standard LaTeX document class
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(/usr/share/texmf-texlive/tex/latex/ucs/data/uni-global.def))
(/usr/share/texmf-texlive/tex/latex/amsmath/amsmath.sty
For additional information on amsmath, use the `?’ option.
(/usr/share/texmf-texlive/tex/latex/amsmath/amstext.sty
(/usr/share/texmf-texlive/tex/latex/amsmath/amsgen.sty))
(/usr/share/texmf-texlive/tex/latex/amsmath/amsbsy.sty)
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(/usr/share/texmf-texlive/tex/latex/amscls/amsthm.sty)
(/usr/share/texmf-texlive/tex/latex/amsfonts/amssymb.sty
(/usr/share/texmf-texlive/tex/latex/amsfonts/amsfonts.sty))
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(/usr/share/texmf-texlive/tex/latex/euler/euler.sty
Package: `euler’ v2.5 <1995/03/05> (FJ and FMi)
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(/usr/share/texmf-texlive/tex/latex/graphics/dvips.def)
(/usr/share/texmf-texlive/tex/latex/graphics/dvipsnam.def))
! LaTeX Error: File `bbm.sty’ not found.
Type X to quit or <RETURN> to proceed,
or enter new name. (Default extension: sty)
Enter file name:
! Emergency stop.
<read *>
l.11 ...ackage{amsmath}\usepackage{bbm}\usepackage
{colortbl}^^M
No pages of output.
Transcript written on math.log.
in a neighborhood of
System Message: WARNING/2 (q)
latex exited with error:
[stderr]
[stdout]
This is pdfTeX, Version 3.1415926-1.40.10 (TeX Live 2009/Debian)
entering extended mode
(./math.tex
LaTeX2e <2009/09/24>
Babel <v3.8l> and hyphenation patterns for english, usenglishmax, dumylang, noh
yphenation, loaded.
(/usr/share/texmf-texlive/tex/latex/base/article.cls
Document Class: article 2007/10/19 v1.4h Standard LaTeX document class
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(/usr/share/texmf-texlive/tex/latex/base/inputenc.sty
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(/usr/share/texmf-texlive/tex/latex/ucs/ucs.sty
(/usr/share/texmf-texlive/tex/latex/ucs/data/uni-global.def))
(/usr/share/texmf-texlive/tex/latex/amsmath/amsmath.sty
For additional information on amsmath, use the `?’ option.
(/usr/share/texmf-texlive/tex/latex/amsmath/amstext.sty
(/usr/share/texmf-texlive/tex/latex/amsmath/amsgen.sty))
(/usr/share/texmf-texlive/tex/latex/amsmath/amsbsy.sty)
(/usr/share/texmf-texlive/tex/latex/amsmath/amsopn.sty))
(/usr/share/texmf-texlive/tex/latex/amscls/amsthm.sty)
(/usr/share/texmf-texlive/tex/latex/amsfonts/amssymb.sty
(/usr/share/texmf-texlive/tex/latex/amsfonts/amsfonts.sty))
(/usr/share/texmf-texlive/tex/latex/tools/bm.sty)
(/usr/share/texmf-texlive/tex/latex/euler/euler.sty
Package: `euler’ v2.5 <1995/03/05> (FJ and FMi)
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(/etc/texmf/tex/latex/config/color.cfg)
(/usr/share/texmf-texlive/tex/latex/graphics/dvips.def)
(/usr/share/texmf-texlive/tex/latex/graphics/dvipsnam.def))
! LaTeX Error: File `bbm.sty’ not found.
Type X to quit or <RETURN> to proceed,
or enter new name. (Default extension: sty)
Enter file name:
! Emergency stop.
<read *>
l.11 ...ackage{amsmath}\usepackage{bbm}\usepackage
{colortbl}^^M
No pages of output.
Transcript written on math.log.
. The value of
System Message: WARNING/2 (q)
latex exited with error:
[stderr]
[stdout]
This is pdfTeX, Version 3.1415926-1.40.10 (TeX Live 2009/Debian)
entering extended mode
(./math.tex
LaTeX2e <2009/09/24>
Babel <v3.8l> and hyphenation patterns for english, usenglishmax, dumylang, noh
yphenation, loaded.
(/usr/share/texmf-texlive/tex/latex/base/article.cls
Document Class: article 2007/10/19 v1.4h Standard LaTeX document class
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(/usr/share/texmf-texlive/tex/latex/ucs/ucs.sty
(/usr/share/texmf-texlive/tex/latex/ucs/data/uni-global.def))
(/usr/share/texmf-texlive/tex/latex/amsmath/amsmath.sty
For additional information on amsmath, use the `?’ option.
(/usr/share/texmf-texlive/tex/latex/amsmath/amstext.sty
(/usr/share/texmf-texlive/tex/latex/amsmath/amsgen.sty))
(/usr/share/texmf-texlive/tex/latex/amsmath/amsbsy.sty)
(/usr/share/texmf-texlive/tex/latex/amsmath/amsopn.sty))
(/usr/share/texmf-texlive/tex/latex/amscls/amsthm.sty)
(/usr/share/texmf-texlive/tex/latex/amsfonts/amssymb.sty
(/usr/share/texmf-texlive/tex/latex/amsfonts/amsfonts.sty))
(/usr/share/texmf-texlive/tex/latex/tools/bm.sty)
(/usr/share/texmf-texlive/tex/latex/euler/euler.sty
Package: `euler’ v2.5 <1995/03/05> (FJ and FMi)
) (/usr/share/texmf-texlive/tex/latex/graphics/color.sty
(/etc/texmf/tex/latex/config/color.cfg)
(/usr/share/texmf-texlive/tex/latex/graphics/dvips.def)
(/usr/share/texmf-texlive/tex/latex/graphics/dvipsnam.def))
! LaTeX Error: File `bbm.sty’ not found.
Type X to quit or <RETURN> to proceed,
or enter new name. (Default extension: sty)
Enter file name:
! Emergency stop.
<read *>
l.11 ...ackage{amsmath}\usepackage{bbm}\usepackage
{colortbl}^^M
No pages of output.
Transcript written on math.log.
is to be found so that
System Message: WARNING/2 (\epsilon_i)
latex exited with error:
[stderr]
[stdout]
This is pdfTeX, Version 3.1415926-1.40.10 (TeX Live 2009/Debian)
entering extended mode
(./math.tex
LaTeX2e <2009/09/24>
Babel <v3.8l> and hyphenation patterns for english, usenglishmax, dumylang, noh
yphenation, loaded.
(/usr/share/texmf-texlive/tex/latex/base/article.cls
Document Class: article 2007/10/19 v1.4h Standard LaTeX document class
(/usr/share/texmf-texlive/tex/latex/base/size12.clo))
(/usr/share/texmf-texlive/tex/latex/base/inputenc.sty
(/usr/share/texmf-texlive/tex/latex/ucs/utf8x.def))
(/usr/share/texmf-texlive/tex/latex/ucs/ucs.sty
(/usr/share/texmf-texlive/tex/latex/ucs/data/uni-global.def))
(/usr/share/texmf-texlive/tex/latex/amsmath/amsmath.sty
For additional information on amsmath, use the `?’ option.
(/usr/share/texmf-texlive/tex/latex/amsmath/amstext.sty
(/usr/share/texmf-texlive/tex/latex/amsmath/amsgen.sty))
(/usr/share/texmf-texlive/tex/latex/amsmath/amsbsy.sty)
(/usr/share/texmf-texlive/tex/latex/amsmath/amsopn.sty))
(/usr/share/texmf-texlive/tex/latex/amscls/amsthm.sty)
(/usr/share/texmf-texlive/tex/latex/amsfonts/amssymb.sty
(/usr/share/texmf-texlive/tex/latex/amsfonts/amsfonts.sty))
(/usr/share/texmf-texlive/tex/latex/tools/bm.sty)
(/usr/share/texmf-texlive/tex/latex/euler/euler.sty
Package: `euler’ v2.5 <1995/03/05> (FJ and FMi)
) (/usr/share/texmf-texlive/tex/latex/graphics/color.sty
(/etc/texmf/tex/latex/config/color.cfg)
(/usr/share/texmf-texlive/tex/latex/graphics/dvips.def)
(/usr/share/texmf-texlive/tex/latex/graphics/dvipsnam.def))
! LaTeX Error: File `bbm.sty’ not found.
Type X to quit or <RETURN> to proceed,
or enter new name. (Default extension: sty)
Enter file name:
! Emergency stop.
<read *>
l.11 ...ackage{amsmath}\usepackage{bbm}\usepackage
{colortbl}^^M
No pages of output.
Transcript written on math.log.
is minimized. A system of equations may be set up with
System Message: WARNING/2 (\epsilon_i)
latex exited with error:
[stderr]
[stdout]
This is pdfTeX, Version 3.1415926-1.40.10 (TeX Live 2009/Debian)
entering extended mode
(./math.tex
LaTeX2e <2009/09/24>
Babel <v3.8l> and hyphenation patterns for english, usenglishmax, dumylang, noh
yphenation, loaded.
(/usr/share/texmf-texlive/tex/latex/base/article.cls
Document Class: article 2007/10/19 v1.4h Standard LaTeX document class
(/usr/share/texmf-texlive/tex/latex/base/size12.clo))
(/usr/share/texmf-texlive/tex/latex/base/inputenc.sty
(/usr/share/texmf-texlive/tex/latex/ucs/utf8x.def))
(/usr/share/texmf-texlive/tex/latex/ucs/ucs.sty
(/usr/share/texmf-texlive/tex/latex/ucs/data/uni-global.def))
(/usr/share/texmf-texlive/tex/latex/amsmath/amsmath.sty
For additional information on amsmath, use the `?’ option.
(/usr/share/texmf-texlive/tex/latex/amsmath/amstext.sty
(/usr/share/texmf-texlive/tex/latex/amsmath/amsgen.sty))
(/usr/share/texmf-texlive/tex/latex/amsmath/amsbsy.sty)
(/usr/share/texmf-texlive/tex/latex/amsmath/amsopn.sty))
(/usr/share/texmf-texlive/tex/latex/amscls/amsthm.sty)
(/usr/share/texmf-texlive/tex/latex/amsfonts/amssymb.sty
(/usr/share/texmf-texlive/tex/latex/amsfonts/amsfonts.sty))
(/usr/share/texmf-texlive/tex/latex/tools/bm.sty)
(/usr/share/texmf-texlive/tex/latex/euler/euler.sty
Package: `euler’ v2.5 <1995/03/05> (FJ and FMi)
) (/usr/share/texmf-texlive/tex/latex/graphics/color.sty
(/etc/texmf/tex/latex/config/color.cfg)
(/usr/share/texmf-texlive/tex/latex/graphics/dvips.def)
(/usr/share/texmf-texlive/tex/latex/graphics/dvipsnam.def))
! LaTeX Error: File `bbm.sty’ not found.
Type X to quit or <RETURN> to proceed,
or enter new name. (Default extension: sty)
Enter file name:
! Emergency stop.
<read *>
l.11 ...ackage{amsmath}\usepackage{bbm}\usepackage
{colortbl}^^M
No pages of output.
Transcript written on math.log.
set to zero:
System Message: WARNING/2 (\sum _i(DI_{p_i} \cdot {DI_{p_i}}^T) - \sum _i(DI_{p_i} \cdot {DI_{p_i}}^T \cdot p_i))
latex exited with error:
[stderr]
[stdout]
This is pdfTeX, Version 3.1415926-1.40.10 (TeX Live 2009/Debian)
entering extended mode
(./math.tex
LaTeX2e <2009/09/24>
Babel <v3.8l> and hyphenation patterns for english, usenglishmax, dumylang, noh
yphenation, loaded.
(/usr/share/texmf-texlive/tex/latex/base/article.cls
Document Class: article 2007/10/19 v1.4h Standard LaTeX document class
(/usr/share/texmf-texlive/tex/latex/base/size12.clo))
(/usr/share/texmf-texlive/tex/latex/base/inputenc.sty
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where the gradients are summed within a neighborhood (“search window”) of
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This is pdfTeX, Version 3.1415926-1.40.10 (TeX Live 2009/Debian)
entering extended mode
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LaTeX2e <2009/09/24>
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(/usr/share/texmf-texlive/tex/latex/amsmath/amstext.sty
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. Calling the first gradient term
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This is pdfTeX, Version 3.1415926-1.40.10 (TeX Live 2009/Debian)
entering extended mode
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LaTeX2e <2009/09/24>
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and the second gradient term
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This is pdfTeX, Version 3.1415926-1.40.10 (TeX Live 2009/Debian)
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LaTeX2e <2009/09/24>
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gives:
System Message: WARNING/2 (q = G^{-1} \cdot b)
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This is pdfTeX, Version 3.1415926-1.40.10 (TeX Live 2009/Debian)
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LaTeX2e <2009/09/24>
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The algorithm sets the center of the neighborhood window at this new center
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This is pdfTeX, Version 3.1415926-1.40.10 (TeX Live 2009/Debian)
entering extended mode
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LaTeX2e <2009/09/24>
Babel <v3.8l> and hyphenation patterns for english, usenglishmax, dumylang, noh
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(/usr/share/texmf-texlive/tex/latex/amsmath/amstext.sty
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and then iterates until the center stays within a set threshold.
preCornerDetect
Calculates a feature map for corner detection.
-
C++: void preCornerDetect(InputArray src, OutputArray dst, int apertureSize, int borderType=BORDER_DEFAULT )
-
Python: cv2.preCornerDetect(src, ksize[, dst[, borderType]]) → dst
-
C: void cvPreCornerDetect(const CvArr* image, CvArr* corners, int apertureSize=3 )
-
Python: cv.PreCornerDetect(image, corners, apertureSize=3) → None
Parameters: |
- src – Source single-channel 8-bit of floating-point image.
- dst – Output image that has the type CV_32F and the same size as src .
- apertureSize – Aperture size of the Sobel() .
- borderType – Pixel extrapolation method. See borderInterpolate() .
|
The function calculates the complex spatial derivative-based function of the source image
System Message: WARNING/2 (\texttt{dst} = (D_x \texttt{src} )^2 \cdot D_{yy} \texttt{src} + (D_y \texttt{src} )^2 \cdot D_{xx} \texttt{src} - 2 D_x \texttt{src} \cdot D_y \texttt{src} \cdot D_{xy} \texttt{src})
latex exited with error:
[stderr]
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This is pdfTeX, Version 3.1415926-1.40.10 (TeX Live 2009/Debian)
entering extended mode
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LaTeX2e <2009/09/24>
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(/usr/share/texmf-texlive/tex/latex/amsmath/amsmath.sty
For additional information on amsmath, use the `?’ option.
(/usr/share/texmf-texlive/tex/latex/amsmath/amstext.sty
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Package: `euler’ v2.5 <1995/03/05> (FJ and FMi)
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! LaTeX Error: File `bbm.sty’ not found.
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where
System Message: WARNING/2 (D_x)
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This is pdfTeX, Version 3.1415926-1.40.10 (TeX Live 2009/Debian)
entering extended mode
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LaTeX2e <2009/09/24>
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(/usr/share/texmf-texlive/tex/latex/ucs/ucs.sty
(/usr/share/texmf-texlive/tex/latex/ucs/data/uni-global.def))
(/usr/share/texmf-texlive/tex/latex/amsmath/amsmath.sty
For additional information on amsmath, use the `?’ option.
(/usr/share/texmf-texlive/tex/latex/amsmath/amstext.sty
(/usr/share/texmf-texlive/tex/latex/amsmath/amsgen.sty))
(/usr/share/texmf-texlive/tex/latex/amsmath/amsbsy.sty)
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! LaTeX Error: File `bbm.sty’ not found.
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,:math:
D_y are the first image derivatives,
System Message: WARNING/2 (D_{xx})
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This is pdfTeX, Version 3.1415926-1.40.10 (TeX Live 2009/Debian)
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LaTeX2e <2009/09/24>
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yphenation, loaded.
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(/usr/share/texmf-texlive/tex/latex/ucs/data/uni-global.def))
(/usr/share/texmf-texlive/tex/latex/amsmath/amsmath.sty
For additional information on amsmath, use the `?’ option.
(/usr/share/texmf-texlive/tex/latex/amsmath/amstext.sty
(/usr/share/texmf-texlive/tex/latex/amsmath/amsgen.sty))
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Package: `euler’ v2.5 <1995/03/05> (FJ and FMi)
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! LaTeX Error: File `bbm.sty’ not found.
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l.11 ...ackage{amsmath}\usepackage{bbm}\usepackage
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,:math:
D_{yy} are the second image derivatives, and
System Message: WARNING/2 (D_{xy})
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This is pdfTeX, Version 3.1415926-1.40.10 (TeX Live 2009/Debian)
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LaTeX2e <2009/09/24>
Babel <v3.8l> and hyphenation patterns for english, usenglishmax, dumylang, noh
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(/usr/share/texmf-texlive/tex/latex/ucs/data/uni-global.def))
(/usr/share/texmf-texlive/tex/latex/amsmath/amsmath.sty
For additional information on amsmath, use the `?’ option.
(/usr/share/texmf-texlive/tex/latex/amsmath/amstext.sty
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! LaTeX Error: File `bbm.sty’ not found.
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is the mixed derivative.
The corners can be found as local maximums of the functions, as shown below:
Mat corners, dilated_corners;
preCornerDetect(image, corners, 3);
// dilation with 3x3 rectangular structuring element
dilate(corners, dilated_corners, Mat(), 1);
Mat corner_mask = corners == dilated_corners;
[Canny86] |
- Canny. A Computational Approach to Edge Detection, IEEE Trans. on Pattern Analysis and Machine Intelligence, 8(6), pp. 679-698 (1986).
|
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