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📗 [2 points] Given the following image gradient, suppose gradient vectors are put into one of the four bins according to the gradient direction: bin 1: \(\left(0, \dfrac{\pi}{2}\right]\), bin 2: \(\left(\dfrac{\pi}{2}, \pi\right]\), bin 3: \([- \dfrac{\pi}{2}, -\pi)\), bin 4: \(\left[0, - \dfrac{\pi}{2}\right)\), which bin does the gradient of the center element (pixel) fall into?
\(\nabla_{x}\) = , \(\nabla_{y}\) = .
Enter the bin number (1, 2, 3, or 4), not the direction.
📗 Calculator (you can use the function atan2(y, x)): .
📗 Answer: .
📗 [4 points] What is the gradient magnitude of the center element (pixel) of the image . Use the x gradient filter: \(\begin{bmatrix} -1 & 0 & 1 \end{bmatrix}\), and the y gradient filter: \(\begin{bmatrix} -1 \\ 0 \\ 1 \end{bmatrix}\). Remember to flip the filters.
📗 Answer: .
📗 [4 points] What is the gradient magnitude of the center element (pixel) of the image . Use the x gradient filter: \(\begin{bmatrix} -1 & 0 & 1 \\ -2 & 0 & 2 \\ -1 & 0 & 1 \end{bmatrix}\), and the y gradient filter: \(\begin{bmatrix} -1 & -2 & -1 \\ 0 & 0 & 0 \\ 1 & 2 & 1 \end{bmatrix}\). Remember to flip the filters.
📗 Answer: .
📗 [4 points] What is the gradient magnitude of the center element (pixel) of the image . Use the x gradient filter: \(\begin{bmatrix} -1 & 0 & 1 \\ -2 & 0 & 2 \\ -1 & 0 & 1 \end{bmatrix}\), and the y gradient filter: \(\begin{bmatrix} -1 & -2 & -1 \\ 0 & 0 & 0 \\ 1 & 2 & 1 \end{bmatrix}\). Remember to flip the filters.
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