平衡方程Matlab代码.zip

function anisodiffusionsimple() a = imread('trui.tif'); a = im2double(a); g1 =a; g2 =a; stepsize1=.2; stepsize2=.1; nosteps=200; verbose=1; if verbose figure(verbose); subplot(2,3,1); imshow(g1); title('Original Image'); drawnow; end h=waitbar(0,'Now is doing Diffusion'); for i=1:nosteps laplaceg1=snldStep1(g1); g1 = g1 +stepsize1 * laplaceg1; laplaceg2=snldStep2(g2); g2 = g2 +stepsize2 * laplaceg2; waitbar(i/nosteps,h); if verbose figure(verbose); subplot(2,3,2); imshow(uint8(255*(laplaceg1-min(laplaceg1(:)))/(max(laplaceg1(:))-min(laplaceg1(:))))); %subplot(2,2,2); imshow(uint8(255*(laplaceg-min(laplaceg(:)))/(max(laplaceg(:))-min(laplaceg(:)))));%归一化？ title('Laplace term') subplot(2,3,3); imshow(g1); title('Anisotropic Diffusion'); drawnow; subplot(2,3,5); imshow(uint8(255*(laplaceg2-min(laplaceg2(:)))/(max(laplaceg2(:))-min(laplaceg2(:))))); %subplot(2,2,2); imshow(uint8(255*(laplaceg-min(laplaceg(:)))/(max(laplaceg(:))-min(laplaceg(:)))));%归一化？ title('Laplace term') subplot(2,3,6); imshow(g2); title('Isotropic Diffusion'); drawnow; end waitbar(i/nosteps,h); end close(h); function r = snldStep1( L ) % Discrete numerical scheme of dL/dt for scalar diffusion N = size(L, 1); M = size(L, 2); lamda=.008; % Set delta_x,delta_y=2,so we can set delta_x/2=delta_y/2=1 Lpc = translateImage( L, 1, 0 ); Lmc = translateImage( L, -1, 0 ); Lcp = translateImage( L, 0, 1 ); Lcm = translateImage( L, 0, -1 ); Lppc = translateImage( L, 2, 0 ); Lmmc = translateImage( L, -2, 0 ); Lcpp = translateImage( L, 0, 2 ); Lcmm = translateImage( L, 0, -2 ); Lap_i = (Lpc+Lcp)-2*L; % Laplace_I d =abs( Lap_i/lamda ); e=-d.*d; C = exp(e); Cpc = translateImage( C, 1, 0 ); Cmc = translateImage( C, -1, 0 ); Ccp = translateImage( C, 0, 1 ); Ccm = translateImage( C, 0, -1); r = ( 1/4*(Cpc.*( Lppc - L )-Cmc.*( L - Lmmc ))+1/4*(Ccp.*( Lcpp - L )-Ccm.*( L - Lcmm )) ); function k = snldStep2( L ) % Discrete numerical scheme of dL/dt for scalar diffusion N = size(L, 1); M = size(L, 2); Lpc = translateImage( L, 1, 0 ); Lmc = translateImage( L, -1, 0 ); Lcp = translateImage( L, 0, 1 ); Lcm = translateImage( L, 0, -1 ); k = ( (Lpc-2*L+Lmc)+ (Lcp-2*L+Lcm) );