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fix latex script in the docs
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@ -40,12 +40,12 @@ using **cv.Sobel()**).
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Then comes the main part. After this, they created a score, basically an equation, which
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determines if a window can contain a corner or not.
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\f[R = det(M) - k(trace(M))^2\f]
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\f[R = \det(M) - k(\operatorname{trace}(M))^2\f]
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where
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- \f$det(M) = \lambda_1 \lambda_2\f$
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- \f$trace(M) = \lambda_1 + \lambda_2\f$
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- \f$\lambda_1\f$ and \f$\lambda_2\f$ are the eigenvalues of M
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- \f$\det(M) = \lambda_1 \lambda_2\f$
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- \f$\operatorname{trace}(M) = \lambda_1 + \lambda_2\f$
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- \f$\lambda_1\f$ and \f$\lambda_2\f$ are the eigenvalues of \f$M\f$
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So the magnitudes of these eigenvalues decide whether a region is a corner, an edge, or flat.
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@ -20,7 +20,7 @@ Harris Corner Detector. The scoring function in Harris Corner Detector was given
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Instead of this, Shi-Tomasi proposed:
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\f[R = min(\lambda_1, \lambda_2)\f]
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\f[R = \min(\lambda_1, \lambda_2)\f]
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If it is a greater than a threshold value, it is considered as a corner. If we plot it in
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\f$\lambda_1 - \lambda_2\f$ space as we did in Harris Corner Detector, we get an image as below:
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@ -28,7 +28,7 @@ If it is a greater than a threshold value, it is considered as a corner. If we p
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![image](images/shitomasi_space.png)
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From the figure, you can see that only when \f$\lambda_1\f$ and \f$\lambda_2\f$ are above a minimum value,
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\f$\lambda_{min}\f$, it is considered as a corner(green region).
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\f$\lambda_{\min}\f$, it is considered as a corner(green region).
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Code
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----
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@ -156,7 +156,7 @@ sift = cv.SIFT_create()
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kp, des = sift.detectAndCompute(gray,None)
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@endcode
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Here kp will be a list of keypoints and des is a numpy array of shape
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\f$Number\_of\_Keypoints \times 128\f$.
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\f$\text{(Number of Keypoints)} \times 128\f$.
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So we got keypoints, descriptors etc. Now we want to see how to match keypoints in different images.
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That we will learn in coming chapters.
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