Suppose that the kernels $H1$ and $H2$ given in Fig. $1($b$)$ and Fig. $1($c$)$ are asked to be applied to the

image patch given in Fig. $1($a$).$

a$.$ Obtain the outputs using convolution that will have the same size with the input.

$(10$pts$)$

b$.$ Obtain the outputs using convolution for which when the stride is $2$ with mirror

padding. $(10$pts$)$

c$.$ To shift the input one pixel right, what should be the filter? $(5$pts$)$

Figure $1$ a$)$ Input image patch.

b$)$ Kernel H$1.$

c$)$ Kernel H$2$