Figure 1 below shows two grayscale images (Figure 1A and 1B; size 1024x1024 pixels), together with...

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Figure 1 below shows two grayscale images (Figure 1A and 1B; size 1024x1024 pixels), together with a 1-dimensional filter kernel (Figure 1C; length N=129). The two images have identical image histograms. A linearly separable 2-dimensional high-pass spatial filter kernel is generated from the 1-dimensional kernel shown in Figure 1C. A B Figure 1 0.06 0.04 0.02 0 C 0 32 64 96 128 If both images are filtered with the 2-dimensional filter kernel, will their histograms remain equal? State your answer and explain your reasoning below. Note: gray outlines indicate the image boundaries, they are not part of the image. Figure 1 below shows two grayscale images (Figure 1A and 1B; size 1024x1024 pixels), together with a 1-dimensional filter kernel (Figure 1C; length N=129). The two images have identical image histograms. A linearly separable 2-dimensional high-pass spatial filter kernel is generated from the 1-dimensional kernel shown in Figure 1C. A B Figure 1 0.06 0.04 0.02 0 C 0 32 64 96 128 If both images are filtered with the 2-dimensional filter kernel, will their histograms remain equal? State your answer and explain your reasoning below. Note: gray outlines indicate the image boundaries, they are not part of the image.