a) We compute the gradient on an image using a differentiating kernel that we call Sobel kernel. We also prefer to run a Gaussian filter over the image before we compute the gradient. Explain (i) why we use a Gaussian filter before computing the gradient, (il) how we make this double filtering process computationally more efficient, and (ili) how we compute the gradient direction at a pixel.

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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a) We compute the gradient on an image using a differentiating kernel that we call Sobel
kernel. We also prefer to run a Gaussian filter over the image before we compute the
gradient. Explain (i) why we use a Gaussian filter before computing the gradient, (il)
how we make this double filtering process computationally more efficient, and (ili) how
we compute the gradient direction at a pixel. 
We threshold the gradient of the image twice when computing the Canny edges, using
a low threshold and a high threshold. Explain why we use two thresholds instead of
one, and what each threshold changes in the final result.
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