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Which of the following statement is false? In Canny edge detection, non-maximum suppression is done along the direction of gradient but not along the direction of edge. DoG can be seen as a single non-separable 2D convolution or the difference of two separable convolutions. Canny edge detector is a linear filter because it uses the Gaussian filter to blur the image and then use linear filter to compute the gradient. DoG can be considered an approximation to the LoG.

Question

Which of the following statement is false? In Canny edge detection, non-maximum suppression is done along the direction of gradient but not along the direction of edge. DoG can be seen as a single non-separable 2D convolution or the difference of two separable convolutions. Canny edge detector is a linear filter because it uses the Gaussian filter to blur the image and then use linear filter to compute the gradient. DoG can be considered an approximation to the LoG.

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Solution

The false statement is: "Canny edge detector is a linear filter because it uses the Gaussian filter to blur the image and then use linear filter to compute the gradient."

The Canny edge detector is not a linear filter. While it does use a Gaussian filter to reduce noise and smooth the image, the subsequent steps of the Canny algorithm (gradient computation, non-maximum suppression, and hysteresis thresholding) are non-linear operations. Therefore, the overall process cannot be considered a linear filter.

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