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An image is filtered four times using a Gaussian kernel of size 3x3 with a standard deviation of
1.0. Because of the associative property of convolution, we know that equivalent results can be
obtained using a single Gaussian kernel formed by convolving the individual kernels. What is the
size and standard deviation of the composite kernel, respectively? Write code to solve this
problem?

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An image is filtered four times using a Gaussian kernel of size 3x3 .pdf

  • 1. An image is filtered four times using a Gaussian kernel of size 3x3 with a standard deviation of 1.0. Because of the associative property of convolution, we know that equivalent results can be obtained using a single Gaussian kernel formed by convolving the individual kernels. What is the size and standard deviation of the composite kernel, respectively? Write code to solve this problem?