Feature Detection¶

Canny¶

Canny(image, edges, threshold1, threshold2, aperture_size=3) → None¶

Implements the Canny algorithm for edge detection.

Parameters:	image (`CvArr`) – Single-channel input image edges (`CvArr`) – Single-channel image to store the edges found by the function threshold1 (float) – The first threshold threshold2 (float) – The second threshold aperture_size (int) – Aperture parameter for the Sobel operator (see Sobel )

The function finds the edges on the input image image and marks them in the output image edges using the Canny algorithm. The smallest value between threshold1 and threshold2 is used for edge linking, the largest value is used to find the initial segments of strong edges.

CornerEigenValsAndVecs¶

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CornerEigenValsAndVecs(image, eigenvv, blockSize, aperture_size=3) → None¶

Calculates eigenvalues and eigenvectors of image blocks for corner detection.

Parameters:	image (`CvArr`) – Input image eigenvv (`CvArr`) – Image to store the results. It must be 6 times wider than the input image blockSize (int) – Neighborhood size (see discussion) aperture_size (int) – Aperture parameter for the Sobel operator (see Sobel )

For every pixel, the function cvCornerEigenValsAndVecs considers a $\texttt{blockSize} \times \texttt{blockSize}$ neigborhood S(p). It calcualtes the covariation matrix of derivatives over the neigborhood as:

$M = \begin{bmatrix} \sum _{S(p)}(dI/dx)^2 & \sum _{S(p)}(dI/dx \cdot dI/dy)^2 \\ \sum _{S(p)}(dI/dx \cdot dI/dy)^2 & \sum _{S(p)}(dI/dy)^2 \end{bmatrix}$

After that it finds eigenvectors and eigenvalues of the matrix and stores them into destination image in form $(\lambda_1, \lambda_2, x_1, y_1, x_2, y_2)$ where

$\lambda_1, \lambda_2$

are the eigenvalues of $M$ ; not sorted
$x_1, y_1$

are the eigenvectors corresponding to $\lambda_1$
$x_2, y_2$

are the eigenvectors corresponding to $\lambda_2$

CornerHarris¶

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CornerHarris(image, harris_dst, blockSize, aperture_size=3, k=0.04) → None¶

Harris edge detector.

Parameters:

image (CvArr) – Input image
harris_dst (CvArr) – Image to store the Harris detector responses. Should have the same size as image
blockSize (int) – Neighborhood size (see the discussion of CornerEigenValsAndVecs )
aperture_size (int) – Aperture parameter for the Sobel operator (see Sobel ).
k (float) – Harris detector free parameter. See the formula below

The function runs the Harris edge detector on the image. Similarly to CornerMinEigenVal and CornerEigenValsAndVecs , for each pixel it calculates a $2\times2$ gradient covariation matrix $M$ over a $\texttt{blockSize} \times \texttt{blockSize}$ neighborhood. Then, it stores

$det(M) - k \, trace(M)^2$

to the destination image. Corners in the image can be found as the local maxima of the destination image.

CornerMinEigenVal¶

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CornerMinEigenVal(image, eigenval, blockSize, aperture_size=3) → None¶

Calculates the minimal eigenvalue of gradient matrices for corner detection.

Parameters:	image (`CvArr`) – Input image eigenval (`CvArr`) – Image to store the minimal eigenvalues. Should have the same size as `image` blockSize (int) – Neighborhood size (see the discussion of CornerEigenValsAndVecs ) aperture_size (int) – Aperture parameter for the Sobel operator (see Sobel ).

The function is similar to CornerEigenValsAndVecs but it calculates and stores only the minimal eigen value of derivative covariation matrix for every pixel, i.e. $min(\lambda_1, \lambda_2)$ in terms of the previous function.

FindCornerSubPix¶

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FindCornerSubPix(image, corners, win, zero_zone, criteria) → corners¶

Refines the corner locations.

Parameters:

image (CvArr) – Input image
corners (sequence of (float, float)) – Initial coordinates of the input corners as a list of (x, y) pairs
win (CvSize) – Half of the side length of the search window. For example, if win =(5,5), then a $5*2+1 \times 5*2+1 = 11 \times 11$ search window would be used
zero_zone (CvSize) – 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 size
criteria (CvTermCriteria) – Criteria for termination of the iterative process of corner refinement. That is, the process of corner position refinement stops either after a certain number of iterations or when a required accuracy is achieved. The criteria may specify either of or both the maximum number of iteration and the required accuracy

The function iterates to find the sub-pixel accurate location of corners, or radial saddle points, as shown in on the picture below. It returns the refined coordinates as a list of (x, y) pairs.

Sub-pixel accurate corner locator is based on the observation that every vector from the center $q$ to a point $p$ located within a neighborhood of $q$ is orthogonal to the image gradient at $p$ subject to image and measurement noise. Consider the expression:

$\epsilon _i = {DI_{p_i}}^T \cdot (q - p_i)$

where ${DI_{p_i}}$ is the image gradient at the one of the points $p_i$ in a neighborhood of $q$ . The value of $q$ is to be found such that $\epsilon_i$ is minimized. A system of equations may be set up with $\epsilon_i$ set to zero:

$\sum _i(DI_{p_i} \cdot {DI_{p_i}}^T) q = \sum _i(DI_{p_i} \cdot {DI_{p_i}}^T \cdot p_i)$

where the gradients are summed within a neighborhood (“search window”) of $q$ . Calling the first gradient term $G$ and the second gradient term $b$ gives:

$q = G^{-1} \cdot b$

The algorithm sets the center of the neighborhood window at this new center $q$ and then iterates until the center keeps within a set threshold.

GoodFeaturesToTrack¶

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GoodFeaturesToTrack(image, eigImage, tempImage, cornerCount, qualityLevel, minDistance, mask=NULL, blockSize=3, useHarris=0, k=0.04) → corners¶

Determines strong corners on an image.

Parameters:

image (CvArr) – The source 8-bit or floating-point 32-bit, single-channel image
eigImage (CvArr) – Temporary floating-point 32-bit image, the same size as image
tempImage (CvArr) – Another temporary image, the same size and format as eigImage
cornerCount (int) – number of corners to detect
qualityLevel (float) – Multiplier for the max/min eigenvalue; specifies the minimal accepted quality of image corners
minDistance (float) – Limit, specifying the minimum possible distance between the returned corners; Euclidian distance is used
mask (CvArr) – Region of interest. The function selects points either in the specified region or in the whole image if the mask is NULL
blockSize (int) – Size of the averaging block, passed to the underlying CornerMinEigenVal or CornerHarris used by the function
useHarris (int) – If nonzero, Harris operator ( CornerHarris ) is used instead of default CornerMinEigenVal
k (float) – Free parameter of Harris detector; used only if ( $\texttt{useHarris} != 0$ )

The function finds the corners with big eigenvalues in the image. The function first calculates the minimal eigenvalue for every source image pixel using the CornerMinEigenVal function and stores them in eigImage . Then it performs non-maxima suppression (only the local maxima in $3\times 3$ neighborhood are retained). The next step rejects the corners with the minimal eigenvalue less than $\texttt{qualityLevel} \cdot max(\texttt{eigImage}(x,y))$ . Finally, the function ensures that the distance between any two corners is not smaller than minDistance . The weaker corners (with a smaller min eigenvalue) that are too close to the stronger corners are rejected.

Note that the if the function is called with different values A and B of the parameter qualityLevel , and A > {B}, the array of returned corners with qualityLevel=A will be the prefix of the output corners array with qualityLevel=B .

HoughLines2¶

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HoughLines2(image, storage, method, rho, theta, threshold, param1=0, param2=0) → lines¶

Finds lines in a binary image using a Hough transform.

Parameters:

image (CvArr) – The 8-bit, single-channel, binary source image. In the case of a probabilistic method, the image is modified by the function
storage (CvMemStorage) – The storage for the lines that are detected. It can be a memory storage (in this case a sequence of lines is created in the storage and returned by the function) or single row/single column matrix (CvMat*) of a particular type (see below) to which the lines’ parameters are written. The matrix header is modified by the function so its cols or rows will contain the number of lines detected. If storage is a matrix and the actual number of lines exceeds the matrix size, the maximum possible number of lines is returned (in the case of standard hough transform the lines are sorted by the accumulator value)
method (int) –
The Hough transform variant, one of the following:
- CV_HOUGH_STANDARD classical or standard Hough transform. Every line is represented by two floating-point numbers $(\rho, \theta)$ , where $\rho$ is a distance between (0,0) point and the line, and $\theta$ is the angle between x-axis and the normal to the line. Thus, the matrix must be (the created sequence will be) of CV_32FC2 type
- CV_HOUGH_PROBABILISTIC probabilistic Hough transform (more efficient in case if picture contains a few long linear segments). It returns line segments rather than the whole line. Each segment is represented by starting and ending points, and the matrix must be (the created sequence will be) of CV_32SC4 type
- CV_HOUGH_MULTI_SCALE multi-scale variant of the classical Hough transform. The lines are encoded the same way as CV_HOUGH_STANDARD
rho (float) – Distance resolution in pixel-related units
theta (float) – Angle resolution measured in radians
threshold (int) – Threshold parameter. A line is returned by the function if the corresponding accumulator value is greater than threshold
param1 (float) –
The first method-dependent parameter:
- For the classical Hough transform it is not used (0).
- For the probabilistic Hough transform it is the minimum line length.
- For the multi-scale Hough transform it is the divisor for the distance resolution $\rho$ . (The coarse distance resolution will be $\rho$ and the accurate resolution will be $(\rho / \texttt{param1})$ ).
param2 (float) –
The second method-dependent parameter:
- For the classical Hough transform it is not used (0).
- For the probabilistic Hough transform it is the maximum gap between line segments lying on the same line to treat them as a single line segment (i.e. to join them).
- For the multi-scale Hough transform it is the divisor for the angle resolution $\theta$ . (The coarse angle resolution will be $\theta$ and the accurate resolution will be $(\theta / \texttt{param2})$ ).

The function implements a few variants of the Hough transform for line detection.

PreCornerDetect¶

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PreCornerDetect(image, corners, apertureSize=3) → None¶

Calculates the feature map for corner detection.

Parameters:	image (`CvArr`) – Input image corners (`CvArr`) – Image to store the corner candidates apertureSize (int) – Aperture parameter for the Sobel operator (see Sobel )

The function calculates the function

$D_x^2 D_{yy} + D_y^2 D_{xx} - 2 D_x D_y D_{xy}$

where $D_?$ denotes one of the first image derivatives and $D_{??}$ denotes a second image derivative.

The corners can be found as local maximums of the function below:

Feature Detection¶

Canny¶

CornerEigenValsAndVecs¶

CornerHarris¶

CornerMinEigenVal¶

FindCornerSubPix¶

GoodFeaturesToTrack¶

HoughLines2¶

PreCornerDetect¶

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Feature Detection¶

Canny¶

CornerEigenValsAndVecs¶

CornerHarris¶

CornerMinEigenVal¶

FindCornerSubPix¶

GoodFeaturesToTrack¶

HoughLines2¶

PreCornerDetect¶

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