Medical Image Analysis Question

Problem 1: 1-D signal restoration via dynamic programming. You are given a 1-D noisy signal I of length n. It can be found in the file hw5data.mat. The goal is to find the corresponding clean signal J. Assume J(α) ∈ {0, 1, 2, …, 255}. You will use dynamic programming to find J such that the Ising energy E(I, J) is minimized. E(I, J) = c X α (I(α) − J(α))2 + X α∼β (J(α) − J(β))2 , = c Xn α=1 (I(α) − J(α))2 + nX−1 α=1 (J(α + 1) − J(α))2 . where c > 0 is a real constant and α ∼ β means α and β are adjacent pixels. (a) Decide the value of c by experiments. Explain the effects of different values of c on the final results. (b) Plot the signal J on top of signal I and attach all Matlab codes used for this problem. To plot two signals on top of each other, you may use the Matlab command “hold on”.

attachment


Buy plagiarism free, original and professional custom paper online now at a cheaper price. Submit your order proudly with us

Essay Hope