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subject is Image Processing and Image Simulation

1. What is the difference between histogram equalization and histogram specification? The following table is the + calculation process of histogram equalization of an image. Fill in the blanks to complete the table. (15) Steps Results 1 Gray Level: k 0 1 2 3 2 Original Histogram: Sk 0.06 0.5 0.04 3 Cumulative Histogram: t 4 int[(L-1):+0.5] Mapping 5 6 Equalized Histogram II. 86 9 6 How do you determine whether a spatial filter is a smoothing filter or a sharpening filter? Write down the filter results of 3X3 median filter on the right image (Ignore the border). (15) 8 7 5 6 57 III. 5 10 12105 7 5 6 5 7 Please give the steps of frequency domain image filtering based on Fourier transform. Write down the convolution theorem and explain it. For the Fourier transform, what kind of content does the DC component, the low-frequency component and the high-frequency component correspond to? (20) 86 9 6 8 IV. Proof: If we use a small size filter to filter an image many times, we can get a result of a large size filter. (10) V. Analysis: Please analyze the effect of filter shapes (+ and X) on filter results (take median filter as an example). (10) VI. Coding: generate an image with a horizontal white line and a vertical white line on the black background, then add noise to the image, and then use the median filter to suppress the noise while preserving the horizontal and vertical white lines as much as possible. (20) VII. Coding: Exchange the third and the fifth bit-planes of a gray-scale image. (Refer to pages 86 to 87 of Gonzalez's book for the concept of bit-plane, and use the MATLAB functions "bitget and bitset")