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2D and 3D Perlin Noise in MATLAB
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| s = (cos(s * pi - pi) + 1) / 2; |
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| function s = noise3D (m,k) | |
| s = zeros([m,m,m]); | |
| w = m; | |
| i = 0; | |
| while w > 3 | |
| i = i + 1; | |
| d = smooth3(randn([m,m,m]), 'gaussian',k,i); | |
| s = s + i * d(1:m, 1:m, 1:m); | |
| w = w - ceil(w/2 - 1); | |
| end | |
| s = (s - min(min(s(:,:)))) ./ (max(max(s(:,:))) - min(min(s(:,:)))); | |
| end |
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| s = (s - min(min(s(:,:)))) ./ (max(max(s(:,:))) - min(min(s(:,:)))); |
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| function s = perlin (m) | |
| s = zeros(m); # output image | |
| w = m; # width of current layer | |
| i = 0; # iterations | |
| while w > 3 | |
| i = i + 1; | |
| d = interp2(randn(w), i-1, "spline"); | |
| s = s + i * d(1:m, 1:m); | |
| w -= ceil(w/2 - 1); | |
| end | |
| end |
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| function s = perlin2D (m) | |
| s = zeros([m,m]); % Prepare output image (size: m x m) | |
| w = m; | |
| i = 0; | |
| while w > 3 | |
| i = i + 1; | |
| d = interp2(randn([m,m]), i-1, 'spline'); | |
| s = s + i * d(1:m, 1:m); | |
| w = w - ceil(w/2 - 1); | |
| end | |
| s = (s - min(min(s(:,:)))) ./ (max(max(s(:,:))) - min(min(s(:,:)))); | |
| end |
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| function s = perlin3D (m) | |
| s = zeros([m,m,m]); % Prepare output image (size: m x m x m) | |
| w = m; | |
| i = 0; | |
| while w > 3 | |
| i = i + 1; | |
| d = interp3(randn([m,m,m]), i-1, 'spline'); | |
| s = s + i * d(1:m, 1:m, 1:m); | |
| w = w - ceil(w/2 - 1); | |
| end | |
| s = (s - min(min(s(:,:)))) ./ (max(max(s(:,:))) - min(min(s(:,:)))); | |
| end |
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