{"nbformat_minor": 0, "worksheets": [{"cells": [{"source": ["Generalized Barycentric Coordinates for Warpping\n", "================================================\n", "$\\newcommand{\\dotp}[2]{\\langle #1, #2 \\rangle}$\n", "$\\newcommand{\\enscond}[2]{\\lbrace #1, #2 \\rbrace}$\n", "$\\newcommand{\\pd}[2]{ \\frac{ \\partial #1}{\\partial #2} }$\n", "$\\newcommand{\\umin}[1]{\\underset{#1}{\\min}\\;}$\n", "$\\newcommand{\\umax}[1]{\\underset{#1}{\\max}\\;}$\n", "$\\newcommand{\\umin}[1]{\\underset{#1}{\\min}\\;}$\n", "$\\newcommand{\\uargmin}[1]{\\underset{#1}{argmin}\\;}$\n", "$\\newcommand{\\norm}[1]{\\|#1\\|}$\n", "$\\newcommand{\\abs}[1]{\\left|#1\\right|}$\n", "$\\newcommand{\\choice}[1]{ \\left\\{  \\begin{array}{l} #1 \\end{array} \\right. }$\n", "$\\newcommand{\\pa}[1]{\\left(#1\\right)}$\n", "$\\newcommand{\\diag}[1]{{diag}\\left( #1 \\right)}$\n", "$\\newcommand{\\qandq}{\\quad\\text{and}\\quad}$\n", "$\\newcommand{\\qwhereq}{\\quad\\text{where}\\quad}$\n", "$\\newcommand{\\qifq}{ \\quad \\text{if} \\quad }$\n", "$\\newcommand{\\qarrq}{ \\quad \\Longrightarrow \\quad }$\n", "$\\newcommand{\\ZZ}{\\mathbb{Z}}$\n", "$\\newcommand{\\CC}{\\mathbb{C}}$\n", "$\\newcommand{\\RR}{\\mathbb{R}}$\n", "$\\newcommand{\\EE}{\\mathbb{E}}$\n", "$\\newcommand{\\Zz}{\\mathcal{Z}}$\n", "$\\newcommand{\\Ww}{\\mathcal{W}}$\n", "$\\newcommand{\\Vv}{\\mathcal{V}}$\n", "$\\newcommand{\\Nn}{\\mathcal{N}}$\n", "$\\newcommand{\\NN}{\\mathcal{N}}$\n", "$\\newcommand{\\Hh}{\\mathcal{H}}$\n", "$\\newcommand{\\Bb}{\\mathcal{B}}$\n", "$\\newcommand{\\Ee}{\\mathcal{E}}$\n", "$\\newcommand{\\Cc}{\\mathcal{C}}$\n", "$\\newcommand{\\Gg}{\\mathcal{G}}$\n", "$\\newcommand{\\Ss}{\\mathcal{S}}$\n", "$\\newcommand{\\Pp}{\\mathcal{P}}$\n", "$\\newcommand{\\Ff}{\\mathcal{F}}$\n", "$\\newcommand{\\Xx}{\\mathcal{X}}$\n", "$\\newcommand{\\Mm}{\\mathcal{M}}$\n", "$\\newcommand{\\Ii}{\\mathcal{I}}$\n", "$\\newcommand{\\Dd}{\\mathcal{D}}$\n", "$\\newcommand{\\Ll}{\\mathcal{L}}$\n", "$\\newcommand{\\Tt}{\\mathcal{T}}$\n", "$\\newcommand{\\si}{\\sigma}$\n", "$\\newcommand{\\al}{\\alpha}$\n", "$\\newcommand{\\la}{\\lambda}$\n", "$\\newcommand{\\ga}{\\gamma}$\n", "$\\newcommand{\\Ga}{\\Gamma}$\n", "$\\newcommand{\\La}{\\Lambda}$\n", "$\\newcommand{\\si}{\\sigma}$\n", "$\\newcommand{\\Si}{\\Sigma}$\n", "$\\newcommand{\\be}{\\beta}$\n", "$\\newcommand{\\de}{\\delta}$\n", "$\\newcommand{\\De}{\\Delta}$\n", "$\\newcommand{\\phi}{\\varphi}$\n", "$\\newcommand{\\th}{\\theta}$\n", "$\\newcommand{\\om}{\\omega}$\n", "$\\newcommand{\\Om}{\\Omega}$\n"], "metadata": {}, "cell_type": "markdown"}, {"source": ["This tours tests several barycentric coordinates (mean value, harmonic and green)\n", "for non-convex polygons, and apply them to 2D warping of images."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 2, "cell_type": "code", "language": "python", "metadata": {}, "input": ["addpath('toolbox_signal')\n", "addpath('toolbox_general')\n", "addpath('toolbox_graph')\n", "addpath('solutions/meshdeform_4_barycentric')"]}, {"source": ["Domain to Warp\n", "--------------\n", "Create a cage that bound the domain to warp."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 3, "cell_type": "code", "language": "python", "metadata": {}, "input": ["cage = 'V';"]}, {"source": ["First we create a 2D closes polygon, which will be a cage used to perform\n", "2D shape deformation."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 4, "cell_type": "code", "language": "python", "metadata": {}, "input": ["delta = .03;\n", "rho = .2;\n", "eta = .05;\n", "x1 = .5-rho-eta/2; x2 = .5-eta/2;\n", "x3 = .5+eta/2; x4 = .5+rho+eta/2;\n", "switch cage\n", "    case 'L'\n", "        V = [[delta;delta] [1-delta;delta] [1-delta;delta+rho] [delta+rho;delta+rho] [delta+rho;1-delta] [delta;1-delta]];\n", "    case 'U'\n", "        V = [[x1;delta] [x4;delta] [x4;1-delta] [x3;1-delta] ...\n", "            [x3;delta+rho] [x2;delta+rho] [x2;1-delta] [x1;1-delta] ];\n", "    case 'V'\n", "        V = [[x1;delta] [x4;delta] [x4;1-delta] [x3;1-delta] ...\n", "            [.5;delta+rho] [x2;1-delta] [x1;1-delta] ];\n", "end\n", "k = size(V,2);"]}, {"source": ["Compute a grid."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 5, "cell_type": "code", "language": "python", "metadata": {}, "input": ["n = 200;\n", "x = linspace(0,1,n);\n", "[Y,X] = meshgrid(x,x);"]}, {"source": ["Indicator of the shape."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 6, "cell_type": "code", "language": "python", "metadata": {}, "input": ["S = 1 - inpolygon(X,Y,V(1,:),V(2,:));"]}, {"source": ["Compute a check-board texture inside the L shaped domain."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 7, "cell_type": "code", "language": "python", "metadata": {}, "input": ["m  = 30;\n", "[XT,YT] = meshgrid((0:n-1)/n,(0:n-1)/n);\n", "T = mod( floor(XT*m)+floor(YT*m),2 );\n", "T(S==1) = 1;"]}, {"source": ["Display it."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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OKjdD+Dx2KQBQmCAEgHMy95cHgLUQhADwQsELgXZ2CA0oAlAbQQgALxS8VWBnhtDlSgGo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\nEoQAAABBCUIAAICg/gtUpeR1MUiSJwAAAABJRU5ErkJggg==\n", "output_type": "display_data"}], "prompt_number": 8, "cell_type": "code", "language": "python", "metadata": {}, "input": ["lw = 3; ms = 25;\n", "clf; hold on;\n", "plot_surf_texture(cat(3,X,Y,zeros(n)), T');\n", "h = plot(V(1,[1:end 1]), V(2,[1:end 1]), 'r.-');\n", "set(h, 'LineWidth', lw); set(h, 'MarkerSize', ms);\n", "view(2); axis('off'); axis('equal');"]}, {"source": ["Mean-valued Coordinates\n", "-----------------------\n", "Mean valued coordinates are usually applied for 3D mesh parameterization,\n", "and are used to approximate the Lapalcian on a 1-ring of a triangulation.\n", "\n", "\n", "The mean value coordinates for star-shaped polygons where introduced in\n", "\n", "\n", "M. S. Floater,\n", "_Mean value coordinates_\n", "Comp. Aided Geom. Design 20, 19-27, 2003.\n", "\n", "\n", "There extension to arbitrary polygon is presented in\n", "\n", "\n", "K. Hormann and M.S. Floater,\n", "_Mean value coordinates for arbitrary planar polygons_\n", "ACM Transactions on Graphics, 25 p. 1424-1441, 2006.\n", "\n", "\n", "See also the following paper for application to shape warping:\n", "\n", "\n", "T. Ju, S. Schaefer and J. Warren,\n", "_Mean Value Coordinates for Closed Triangular Meshes_\n", "ACM SIGGRAPH 2005, pages 561-566, 2005.\n", "\n", "\n", "Useful operator."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 9, "cell_type": "code", "language": "python", "metadata": {}, "input": ["dotp = @(a,b)sum(a.*b);\n", "crossp = @(a,b)a(1,:).*b(2,:)-a(2,:).*b(1,:);\n", "normalize = @(a)a./repmat(sqrt(sum(a.^2)), [2 1]);"]}, {"source": ["Points of the domain."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 10, "cell_type": "code", "language": "python", "metadata": {}, "input": ["W = [X(:)';Y(:)'];"]}, {"source": ["Each C(:,:,i) will be a barycentric coordinate weight."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 11, "cell_type": "code", "language": "python", "metadata": {}, "input": ["C = zeros(n,n,k);"]}, {"source": ["Select a point on the polygon."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 12, "cell_type": "code", "language": "python", "metadata": {}, "input": ["i = 4;\n", "vi = V(:,i);"]}, {"source": ["Compute the mean coordinate at each point location using the\n", "tangent of the two adjacent angles."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 13, "cell_type": "code", "language": "python", "metadata": {}, "input": ["U = repmat(vi,[1 n^2])-W;\n", "nb = normalize( U );"]}, {"source": ["length"], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 14, "cell_type": "code", "language": "python", "metadata": {}, "input": ["d = sqrt( sum(U.^2) );\n", "for j=mod([i-2,i],k)+1\n", "    % point\n", "    vj = V(:,j);\n", "    na = normalize( repmat(vj,[1 n^2])-W );\n", "    % angle\n", "    dp = dotp(na,nb);\n", "    theta = acos(clamp(dp,-1,1));\n", "    % add tangent of half angle\n", "    C(:,:,i) = C(:,:,i) + reshape( tan(theta/2) ./ d, [n n]);\n", "end"]}, {"source": ["__Exercise 1__\n", "\n", "Compute the full set of mean coordinates."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 15, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo1()"]}, {"collapsed": false, "outputs": [], "prompt_number": 16, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}, {"source": ["Normalize them."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 17, "cell_type": "code", "language": "python", "metadata": {}, "input": ["C = C ./ repmat( sum(C,3), [1 1 k] );"]}, {"source": ["Extract one of the coordinates, set it to zero outside."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 18, "cell_type": "code", "language": "python", "metadata": {}, "input": ["i = 4;\n", "c = abs(C(:,:,i))+1e-3;\n", "c(S==1) = 0;"]}, {"source": ["Display it."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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HKIdQRMqQcghFRM5e+8Cst349vOFMnMBTcHVmJaNvA6HPUvG7C3WowQ5OfJ3x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Jr0ZoVJPQ4PjHqTe2+f4N1C5bYNam76FfoaqUlXHATNMEwgdvJ6xS5KFmJqpJmyA8uZStPoDZ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\niJ8E/dAEn4H74eTqzDxV+jPRYGsmGpQkTQMGhJKkujg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"output_type": "display_data"}], "prompt_number": 19, "cell_type": "code", "language": "python", "metadata": {}, "input": ["nl = 15;\n", "t = linspace(0,1,n);\n", "B = display_shape_function(c');\n", "clf; hold on;\n", "imagesc(t,t,B); axis('image'); axis('off');\n", "contour(t,t,c',nl, 'k');\n", "colormap jet(256);\n", "h = plot(V(1,[1:end 1]), V(2,[1:end 1]), 'r.-');\n", "set(h, 'LineWidth', lw); set(h, 'MarkerSize', ms);"]}, {"source": ["Interpolation function."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 20, "cell_type": "code", "language": "python", "metadata": {}, "input": ["applyinterp = @(C,x)sum(repmat(reshape(x(:), [1 1 k]),[n n 1]).*C,3);"]}, {"source": ["Apply the interpolation weight to the X/Y coordinate to test for the\n", "linear precision of the coordinates."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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"output_type": "display_data"}], "prompt_number": 21, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf;\n", "imageplot(applyinterp(C,V(1,:)), 'Should be X', 1,2,1);\n", "imageplot(applyinterp(C,V(2,:)), 'Should be Y', 1,2,2);\n", "colormap jet(256);"]}, {"source": ["Final position of the cage."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 22, "cell_type": "code", "language": "python", "metadata": {}, "input": ["V2 = V;\n", "switch cage,\n", "    case 'L'\n", "        V2(:,4) = [1-delta;1-delta];\n", "    case {'U' 'V'}\n", "        V2(:,3) = [1-delta;delta];\n", "        V2(:,4) = [1-delta;delta+rho];\n", "end"]}, {"source": ["Modify the position of the cage."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 23, "cell_type": "code", "language": "python", "metadata": {}, "input": ["rho = .7;\n", "V1 = V*(1-rho) + V2*rho;"]}, {"source": ["Warp the grid."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 24, "cell_type": "code", "language": "python", "metadata": {}, "input": ["X1 = applyinterp(C,V1(1,:));\n", "Y1 = applyinterp(C,V1(2,:));"]}, {"source": ["Display the warped texture."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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4bDZr8hyHmwmzLOu7FQAkTYUQIC0Vs0f1dDSbzTbuPPtExWPW02+s2vDsVnQZHTp1QgDW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\n", "output_type": "display_data"}], "prompt_number": 25, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf; hold on;\n", "plot_surf_texture(cat(3,X1,Y1,zeros(n)), T');\n", "h = plot(V1(1,[1:end 1]), V1(2,[1:end 1]), 'r.-');\n", "set(h, 'LineWidth', lw); set(h, 'MarkerSize', ms);\n", "view(2); axis('off'); axis('equal');\n", "axis([0,1,0,1]);"]}, {"source": ["Harmonic Coordinates\n", "--------------------\n", "Mean valued coordinates goes in some sense \"through\" the cage.\n", "To prevent this, one can compute coordinates using a diffusion\n", "within the cage. This leads to harmonic coordinates.\n", "\n", "\n", "The harmonic coordinates are introduced in\n", "\n", "\n", "P. Joshi, M. Meyer, T. DeRose, B. Green and T. Sanocki\n", "_Harmonic coordinates for character articulation_\n", "ACM Trans. Graph, 3(26), p.71, 2007\n", "\n", "\n", "Compute the points on the grid that are along the boundary, together\n", "with the curvilinear absice."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 26, "cell_type": "code", "language": "python", "metadata": {}, "input": ["Vi = round(V*n);\n", "bound = Vi(:,1);\n", "loc = 1;\n", "abscur = 0;\n", "for i=1:k\n", "    j = mod(i,k)+1;\n", "    d = round(norm(Vi(:,i)-Vi(:,j)));\n", "    t = repmat((1:d)/d, [2 1]);\n", "    bound = [bound repmat(Vi(:,i),[1 d]).*(1-t) + repmat(Vi(:,j),[1 d]).*t];\n", "    abscur = [abscur abscur(end)+(1:d)/d];\n", "    loc(end+1) = loc(end)+d;\n", "end\n", "q = size(bound,2);\n", "bound = round(bound);\n", "I = bound(1,:) + (bound(2,:)-1)*n;"]}, {"source": ["Initialize the coordinates."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 27, "cell_type": "code", "language": "python", "metadata": {}, "input": ["C = zeros(n,n,k);"]}, {"source": ["Compute the \"hat\" interpolation function at a given vertex location."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 28, "cell_type": "code", "language": "python", "metadata": {}, "input": ["i = 4;\n", "u = zeros(k+1,1);\n", "u(i) = 1;\n", "if i==1\n", "    u(end)=1;\n", "end\n", "u = interp1(0:k,u, abscur);"]}, {"source": ["Initialize the coordinate."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 29, "cell_type": "code", "language": "python", "metadata": {}, "input": ["Ci = zeros(n);"]}, {"source": ["Perform diffusion."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 30, "cell_type": "code", "language": "python", "metadata": {}, "input": ["sel1 = [2:n 1];\n", "sel2 = [n 1:n-1];\n", "Ci = ( Ci(sel1,:) + Ci(:,sel1) + Ci(sel2,:) + Ci(:,sel2) )/4;"]}, {"source": ["Impose value."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 31, "cell_type": "code", "language": "python", "metadata": {}, "input": ["Ci(I) = u;"]}, {"source": ["Display the first iteration."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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AiHJlFAAGOy3nvY8AADcxIQQAAIgShAAAAFGCEAAAIMoOIQAM5tkJAGZhQggAABAlCAEA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\nAEQJQgAAgKj/AnRdoEkALgBmAAAAAElFTkSuQmCC\n", "output_type": "display_data"}], "prompt_number": 32, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf;\n", "imageplot(Ci');\n", "colormap jet(256);"]}, {"source": ["__Exercise 2__\n", "\n", "Perform the full computation of the coordinate |C(:,:,i)| by iterating the diffusion\n", "and imposing the boundary value."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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cVjvPm4FDKggPQ0IIAACQKSWjwIYmR+P2njFmeQFYeh+VklGLgbBLJIRAq+4S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\nUTJa9IgrusMt/zO32PIx8CkA7lB/vEh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"output_type": "display_data"}], "prompt_number": 33, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo2()"]}, {"collapsed": false, "outputs": [], "prompt_number": 34, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}, {"source": ["Display one the functions."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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QKZ7WQ2jci+EFYEJiLXP2YMxvIAzFcIAprr5BEck7OiEUERH5+r0CQJUl5Te1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gZo2bPLsEggAHDvvYZbUxMAO/d4vsDsOEBXyRYRbs+JuL82Eo77ZTC3+go26AKgKPdVRETWAG0I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\nRK5CYII=\n", "output_type": "display_data"}], "prompt_number": 35, "cell_type": "code", "language": "python", "metadata": {}, "input": ["c = C(:,:,i); c(S==1) = 0;\n", "nl = 15;\n", "t = linspace(0,1,n);\n", "B = display_shape_function(c');\n", "clf; hold on;\n", "imagesc(t,t,B); axis('image'); axis('off');\n", "contour(t,t,c',nl, 'k');\n", "colormap jet(256);\n", "h = plot(V(1,[1:end 1]), V(2,[1:end 1]), 'r.-');\n", "set(h, 'LineWidth', lw); set(h, 'MarkerSize', ms);"]}, {"source": ["__Exercise 3__\n", "\n", "Compute the full set of coordinate functions |C|."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 36, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo3()"]}, {"collapsed": false, "outputs": [], "prompt_number": 37, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}, {"source": ["Apply the interpolation weight to the X/Y coordinate to test for the\n", "linear precision of the coordinates. Here it is only valid inside the\n", "shape."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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EEAAAIJRlrlD9TQgbmf4ZWNEE7mYAI1v5ksOjPbScCSEAAEAoE8JQ/S3IWagD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\n", "output_type": "display_data"}], "prompt_number": 38, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf;\n", "A = applyinterp(C,V(1,:)); A(S==1) = 0;\n", "imageplot(A, 'Should be X', 1,2,1);\n", "A = applyinterp(C,V(2,:)); A(S==1) = 0;\n", "imageplot(A, 'Should be Y', 1,2,2);\n", "colormap jet(256);"]}, {"source": ["Modify the position of the cage."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 39, "cell_type": "code", "language": "python", "metadata": {}, "input": ["rho = .7;\n", "V1 = V*(1-rho) + V2*rho;"]}, {"source": ["Warp the grid."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 40, "cell_type": "code", "language": "python", "metadata": {}, "input": ["X1 = applyinterp(C,V1(1,:));\n", "Y1 = applyinterp(C,V1(2,:));\n", "X1(S==1) = Inf; Y1(S==1) = Inf;"]}, {"source": ["Display the warped texture."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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DdAgBSINACAADzCEEIA0CIQAAQKIEQgAAgEQJhAAwYHAO4VtvTaMOABgvgRAABphDCEAa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\nnIlpBAAAAABJRU5ErkJggg==\n", "output_type": "display_data"}], "prompt_number": 41, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf; hold on;\n", "plot_surf_texture(cat(3,X1,Y1,zeros(n)), T');\n", "h = plot(V1(1,[1:end 1]), V1(2,[1:end 1]), 'r.-');\n", "set(h, 'LineWidth', lw); set(h, 'MarkerSize', ms);\n", "view(2); axis('off'); axis('equal');\n", "axis([0,1,0,1]);"]}, {"source": ["Green Coordinates\n", "-----------------\n", "Another set of coordinates, that are fast to compute and does not go\n", "\"though\" the cage, are the Green Coordinates, introduced in\n", "\n", "\n", "Y. Lipman, D. Levin and D. Cohen-Or,\n", "_Green Coordinates_\n", "ACM Trans. Graph., 27(3), pages 1-10, 2008}.\n", "\n", "\n", "Fist compute the oriented normal to the cage."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 42, "cell_type": "code", "language": "python", "metadata": {}, "input": ["N = V(:,[2:end 1]) - V;\n", "N = N ./ repmat( sqrt(sum(N.^2)), [2 1] );\n", "N = -[-N(2,:); N(1,:)];"]}, {"source": ["Display the normals."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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0TdM23PWxEJoHAaiJIASApmma5vBw+ZE+FkLzIAA1EYQA0DRN0zx5svyIIARg7gQhADRN\n07YQOmUUgLkThADQNE3bQnhxsetrlq9gIQSgJoIQAFawEAIwd4IQAJqmGeprJyyEANREEAJA0zRN\nc3S0/EgfC2H5LgAwHkEIAE3T+NoJABIJQgBomqbtpjKuIQRg7gQhADRN0881hABQN0EIAE3TtG13\nFkIA5k4QAkDTNCuu7ttxJHQNIQB1E4QA0DTNiu1ul5Gw9e9aCAGoiSAEgKZpelgIW/+uhRCAmghC\nAGiaxkIIQCJBCADX9nujUQshANUThABwbb83GnWLUQCqJwgB4FrfC6F5EIDKCEIAuGYhBCCMIASA\na+WCd3Fx91ezEAJQPUEIANf2uxCen29+fQAYlSAEgGuuIQQgjCAEgGtHR8uPuIYQgFkThABwre+F\ncLG4+6sBQA8EIQBcc5dRAMIIQgC45hpCAMIIQgC4ZiEEIIwgBIBrrQvenUdCCyEA1ROEAHCtdcG7\n20jY+rcshABURhACwLU9LoStf8tCCEBlBCEAXLMQAhBGEALADfu60aiFEIApEIQAcMO+bjTqFqMA\nTIEgBIAb+lsIzYMA1EcQAsANFkIAkghCALih3PEuLu7yOhZCAKZAEALADftaCM/PN78yAIxNEALA\nDa4hBCCJIASAG46Olh9xDSEA8yUIAeCG/hbCxeIurwMAfRKEAHCDu4wCkORw7AMAYPJevnx5dnZW\nPv7kyZN79+51fJHDw8PHjx8fHm7+P0yPHz++v/p6vPv37z9em14bn7Af219D+O7du8/brJEdn7/x\naeufcHFx8a6I2+Pj45OTk47HCUDNBCEAuzo7Ozs9PR37KPbmP5vm5xv/efXDDz//+te//OdXX331\nq1/96ubzLy8vLy8vf/nPg4ODe/fuNZ8+/euvN81PX/7XixfNixe9HfXQBCHAPAhCALjlx/Kh2wPa\nP//5z6GOBQD65RpCAACAUIIQAAAglCAEAAAI5RpCAHZ1fHzc+vjbt29v3m1lvcvLy3fv3nV5/rZ3\n4wy3/qasG5/QelPWVf8/DsDkCEIAdnVyclLPPSc/f/5cfk3CVk/4n++++98bt41ZNM2DP/yh+e1v\nv/zn5eXlp+s7iH5x//79m0F1eXn545s3zT/+8eU/D5rmP5qmaZr/+tOfvvvuuzXvu7Hcdnw+AJQE\nIQCzcv/+/d/97nfrn/P73/9+zZ/+96NHzQ8/3Hroj39snj/f4iBOT5e/YeLhw+bPf97iFQBgEK4h\nBIDbytlt2zNUy+c/eHD34wGA3ghCALituGSuWXuKaYvy+c7tBKBKghAAbivj7eJiu1con//w4d2P\nBwB6IwgB4LY+FsLyNQGgAoIQAG5zDSEAMQQhANx2dLT8yO4LoSAEoEqCEABu230hLH3zza6vAAA9\nEIQAcFsf1xAe+uJfAGokCAFg38pF0U1lAKiSIASA2/pYCH3tBABVEoQAcFsfdxn9+uu7Hw8A9EYQ\nAsBtrad3dh8JW59ZRiYAVEAQAsBtrfHWfSRsfaZTRgGokiAEgNv6WAjdZRSAKglCALitj4XQXUYB\nqJIgBIDCLveVKZ/54IFrCAGokyAEgMIu3zzhOycAmA5BCACF/S6EAFArQQgAhf0uhE+e7Ho8ANAP\nQQgAhXIhvLjo+nfLZ7rFKAC1EoQAUHANIQAZBCEAFPZ7DeHXX+96PADQD0EIAIWjo+VHdlkIfQkh\nALUShADQs3v3xj4CAGgnCAGgsN9rCC2EANRKEAJAYb/XEJavBgB1EIQAULAQApBBEAJAwUIIQAZB\nCACF1k2vy0jY+hwLIQC1EoQAUGjd9LqMhK3PsRACUCtBCAAFCyEAGQQhABQshABkEIQA0OZu95Vx\nRxkAJkUQAkCbu33zhO+cAGBSBCEAtLEQAhBAEAJAGwshAAEEIQC0KZe9i4vNf6t8joUQgIoJQgBo\nYyEEIIAgBIA2d7uGEAAmRRACQJujo+VHLIQAzI4gBID9KVfExWKM4wCATgQhALRxDSEAAQQhALTx\nPYQABBCEANDGQghAAEEIAG0shAAEOBz7AIA7evny5dnZ2dhHUZlXr5YeOH79+mSUI2EGWpe9d+/W\nLX6tE6KFkB28fP16+Qf9q1fNixejHEydjo+PT078pIe7E4QwVWdnZ6enp2MfRfXev/drAnfUuuyt\nHwlb/9RCyA7O3r8/XXrozZvmzZsxjqVeghB24ZRRAGgjCAEIIAgBoM2qU0bXcMooAFMjCAFghW3v\nK+OOMgBMjSAEgBW2/eYJ3zkBwNS4qQxM1fHx8diHUJ9Xr5butXD86NFYx8IcWAgZ2/GjR8u3kPn2\n2+bZs5EOp0b+ryHsSBDCVJ2cnLiv2rIXL5Z/c3r6dKRDYRYeP27+/vdbj1gIGdbJ06cnf/3rrYee\nPWu+/36kwwFmyCmjALBCue9dXKx7fvmnFkIA6iYIAWAF1xACMHeCEAAAIJQgBIAVLIQAzJ0gBIAV\nFovlR7a9y2j5CgBQE0EIACtYCAGYO0EIACv4HkIA5k4QAsAKFkIA5k4QAsAKFkIA5k4QAsAKrfve\nqpGw9XELIQB1E4QAsELrvrdqJGx93EIIQN0EIQCsIAgBmDtBCAArOGUUgLkThACwWvf7yrijDAAT\nJAgBYLXu3zzhOycAmCBBCACrWQgBmDVBCACrWQgBmDVBCACrlSvfxcUYxwEAvRCEALBa94Xw/Hzz\n3wWAyghCANgH1xACMEGCEABWcw0hALMmCAFgtcVi+ZHudxkt/y4AVEYQAsBqFkIAZk0QAsBqvocQ\ngFkThACwmoUQgFkThACwmoUQgFkThACwWmvUle3XWomCEIDqCUIAWK31tM/y7NDW80idMgpA9QQh\nAKxmIQRg1gQhAKxmIQRg1gQhAKzV5b4y7igDwDQJQgBYq8s3T/jOCQCmSRACwFoWQgDmSxACwFoW\nQgDmSxACwJYuLsY+AgDYD0EIAGt1WQjPzzf/LQCojyAEgLVcQwjAfAlCAFjLNYQAzJcgBIC1Fovl\nR7oshOXfAoD6CEIAWMtCCMB8CUIAWMs1hADMlyAEgLUshADMlyAEgLVat76lSdBCCMA0CUIAWKs1\n7W5OguU8uOpvAUBlBCEArNV68ufNSbCcB1f9LQCojCAEgLUshADMlyAEgLUshADMlyAEgE3KuW/9\nQmgeBGAiBCEAbFLOfesXQvMgABMhCAFgk20XQgCYCEEIAJuUi9/Fxb//t4UQgMkShACwvZur4Pn5\n8p+6hhCAiRCEALCJawgBmClBCACbuMsoADMlCAFgEwshADMlCAFgk8Vi+ZH1C2H5fACokiAEgE0s\nhADMlCAEgE1cQwjATAlCANikNfB+GQbLhVAQAjARghAANmk9BfTLMFjOg6ueDwD1EYQAsMmahbCc\nB1c9HwDqIwgBYBMLIQAzJQgBYBMLIQAzJQgBYBMLIQAzJQgBoINy9Fu1EJoHAZgOQQgAHZSj36qF\n0DwIwHQIQgDoYNXu13oNIQBMhCAEgA7K3e/8/N//7/pnAkCtBCEAdOAaQgDmSBACQAeuIQRgjgQh\nAHRgIQRgjgQhAHRwdLT8iIUQgOkThADQQfeFcLEY4ngAYB8EIQB04BpCAOZIEAJAB64hBGCOBCEA\ndNC6+3382PWZAFAlQQgAHbTufn/7W9dnAkCVBCEAdGAhBGCOBCEAdGAhBGCOBCEAdNC6+/34Y9dn\nAkCVBCEAdFNOfxZCACZOEAJAN+X0V37nhHkQgEkRhADQTZeF0DwIwKQIQgDoxkIIwOwIQgDopsv6\nZyEEYFIEIQB002X9sxACMCmCEAC6sRACMDuCEAC6OTra/BwLIQCTIggBoJsu699i0f9xAMDeCEIA\n6MY1hADMjiAEgG5cQwjA7AhCAOjGQgjA7AhCAOjGQgjA7AhCAOjGQgjA7AhCAOjGQgjA7AhCAOjG\nQgjA7AhCAOhs4wBoIQRgUgQhAHS2fgA0DwIwNYIQAPbEPAjA1AhCAOjMQgjAvAhCAOhs/QZoIQRg\nagQhAHRmIQRgXgQhAHRmIQRgXgQhAHRmIQRgXgQhAHS2WNz9TwGgPoIQADqzEAIwL4IQADpzDSEA\n8yIIAaAzQQjAvAhCAOjMKaMAzIsgBIDOLIQAzIsgBIDOLIQAzIsgBIDOLIQAzIsgBIDOLIQAzIsg\nBIBtmAEBmBFBCADbWDUDmgcBmCBBCAD7YDkEYIIEIQBsw0IIwIwIQgDYxqol0EIIwAQJQgDYhoUQ\ngBkRhACwDQshADMiCAFgGxZCAGZEEALANhaL7R4HgIoJQgDYhlNGAZgRQQgA23DKKAAzIggBYBsW\nQgBmRBACwDYshADMiCAEgG1YCAGYEUEIANuwEAIwI4IQALZhIQRgRgQhAGxj1RL4m98MexwAsAeC\nEAC2cXCw7o/W/CkA1EcQAsBeaUIApkMQAgAAhBKEANCZ9Q+AeRGEALBvuhGAiRCEAAAAoQQhAHRj\n9wNgdgQhAHRzdTX2EQDAnglCANg36QjARAhCAOhM6QEwL4IQAAAglCAEgG1sHAmtiABMx+HYBwAA\nU/NL8t2876gOBGCCBCEA3JUIBGDinDIKAAAQShACAACEEoQAAAChBCEAAEAoQQgAABBKEAIAAIQS\nhAAAAKEEIQAAQChBCAAAEEoQAgAAhBKEAAAAoQQhAABAKEEIAAAQShACAACEEoQAAAChBCEAAEAo\nQQgAABBKEAIAAIQShAAAAKEEIQAAQChBCAAAEEoQAgAAhBKEAAAAoQQhAABAKEEIAAAQShACAACE\nEoQAAAChBCEAAEAoQQgAABBKEAIAAIQShAAAAKEEIQAAQChBCAAAEEoQAgAAhBKEAAAAoQQhAABA\nKEEIAAAQShACAACEEoQAAAChBCEAAEAoQQgAABBKEAIAAIQShAAAAKEEIQAAQChBCAAAEEoQAgAA\nhBKEAAAAoQQhAABAKEEIAAAQShACAACEEoQAAAChBCEAAEAoQQgAABBKEAIAAIQShAAAAKEEIQAA\nQChBCAAAEEoQAgAAhBKEAAAAoQQhAABAKEEIAAAQShACAACEEoQAAAChBCEAAEAoQQgAABBKEAIA\nAIQShAAAAKEEIQAAQChBCAAAEEoQAgAAhBKEAAAAoQQhAABAKEEIAAAQShACAACEEoQAAAChBCEA\nAEAoQQgAABBKEAIAAIQShAAAAKEEIQAAQChBCAAAEEoQAgAAhBKEAAAAoQQhAABAKEEIAAAQShAC\nAACEEoQAAAChBCEAAEAoQQgAABBKEAIAAIQShAAAAKEEITBrp6djHwEAQL0EITB3BwfNwcHYBwFw\nJ+W/ap2e+pkG7NHB1dXV2McAsA8bf0Py4w6YED/TgEEcjn0AAEM5OGiePx/7IJiDl69fn71/f/OR\n40ePTp4+Het4CHVwoAmB3VkIgVlwAhUDetE0p7cfed40349xJKAJgR25hhAAACCUIAQAmCznRwC7\nEYTA9Pl9CADgTgQhMH0uoQFi+QEI7MZdRoEk7jLKXrx61bx5c+uRb79tnj0b6WiYo/LrBwH6IQiB\nWbi66nTi6PfuBMk+vHixHITPnvl0sU/ff9/pZ5p5ENiZU0YBAABCCUJgLjb+S7l/SgcmxM80YBBO\nGQVmZNWJo35tAqboy8+u8sean2nA/ghCYF6Wfn/yaxMwdTd/rPmZBuybIATmyO9MwMz4sQb0wzWE\nAAAAoQQhAABAKEEIAAAQShACAACEEoQAAAChBCEAAEAoQQgAABBKEAIAAIQShAAAAKEEIQAAQChB\nCAAAEEoQAgAAhBKEAAAAoQQhAABAKEEIAAAQShACAACEEoQAAAChBCEAAEAoQQgAABBKEAIAAIQS\nhAAAAKEEIQAAQChBCAAAEEoQAgAAhBKEAAAAoQQhAABAKEEIAAAQShACAACEEoQAAAChBCEAAEAo\nQQgAABBKEAIAAIQShAAAAKEEIQAAQChBCAAAEEoQAgAAhBKEAAAAoQQhAABAKEEIAAAQShACAACE\nEoQAAAChBCEAAEAoQQgAABBKEAIAAIQShAAAAKEOxz4AAJiY4+PjjY8AwCQcXF1djX0MAAAAjMAp\nowAAAKEEIQAAQChBCAAAEEoQAgAAhBKEAAAAoQQhAABAKEEIAAAQShACAACEEoQAAAChBCEAAEAo\nQQgAABBKEAIAAIQShAAAAKEEIQAAQChBCAAAEEoQAgAAhBKEAAAAoQQhAABAKEEIAAAQShACAACE\nEoQAAAChBCEAAEAoQQgAABBKEAIAAIQShAAAAKEEIQAAQChBCAAAEEoQAgAARTonlgAAAxVJREFU\nhBKEAAAAoQQhAABAKEEIAAAQShACAACEEoQAAAChBCEAAEAoQQgAABBKEAIAAIQShAAAAKEEIQAA\nQChBCAAAEEoQAgAAhBKEAAAAoQQhAABAKEEIAAAQShACAACEEoQAAAChBCEAAEAoQQgAABBKEAIA\nAIQShAAAAKEEIQAAQChBCAAAEEoQAgAAhBKEAAAAoQQhAABAKEEIAAAQShACAACEEoQAAAChBCEA\nAEAoQQgAABBKEAIAAIQShAAAAKEEIQAAQChBCAAAEEoQAgAAhBKEAAAAoQQhAABAKEEIAAAQShAC\nAACEEoQAAAChBCEAAEAoQQgAABBKEAIAAIQShAAAAKEEIQAAQChBCAAAEEoQAgAAhBKEAAAAoQQh\nAABAKEEIAAAQShACAACEEoQAAAChBCEAAEAoQQgAABBKEAIAAIQShAAAAKEEIQAAQChBCAAAEEoQ\nAgAAhBKEAAAAoQQhAABAKEEIAAAQShACAACEEoQAAAChBCEAAEAoQQgAABBKEAIAAIQShAAAAKEE\nIQAAQChBCAAAEEoQAgAAhBKEAAAAoQQhAABAKEEIAAAQShACAACEEoQAAAChBCEAAEAoQQgAABBK\nEAIAAIQShAAAAKEEIQAAQChBCAAAEEoQAgAAhBKEAAAAoQQhAABAKEEIAAAQShACAACEEoQAAACh\nBCEAAEAoQQgAABBKEAIAAIQShAAAAKEEIQAAQChBCAAAEEoQAgAAhBKEAAAAoQQhAABAKEEIAAAQ\nShACAACEEoQAAAChBCEAAEAoQQgAABBKEAIAAIQShAAAAKEEIQAAQChBCAAAEEoQAgAAhBKEAAAA\noQQhAABAKEEIAAAQShACAACEEoQAAAChBCEAAEAoQQgAABBKEAIAAIQShAAAAKEEIQAAQChBCAAA\nEEoQAgAAhBKEAAAAoQQhAABAKEEIAAAQShACAACEEoQAAAChBCEAAEAoQQgAABBKEAIAAIQShAAA\nAKEEIQAAQChBCAAAEEoQAgAAhBKEAAAAoQQhAABAKEEIAAAQShACAACE+n/qZG7/UouYiQAAAABJ\nRU5ErkJggg==\n", "output_type": "display_data"}], "prompt_number": 43, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf; hold on;\n", "h = plot(V(1,[1:end 1]), V(2,[1:end 1]), 'r.-');\n", "set(h, 'LineWidth', lw); set(h, 'MarkerSize', ms);\n", "rho = .1;\n", "for i=1:k\n", "    j = mod(i,k)+1;\n", "    a = mean( V(:,[i,j]), 2);\n", "    h = plot( [a(1) a(1)+rho*N(1,i)], [a(2) a(2)+rho*N(2,i)], 'k' );\n", "    set(h, 'LineWidth', lw); set(h, 'MarkerSize', ms);\n", "end\n", "axis square; axis off;"]}, {"source": ["Each |C(:,:,i)| is a barycentric coordinate weight\n", "for the vertices,  |i| and |D(:,:,i)| is a barycentric weight\n", "for the edge |(i,i+1)|."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 44, "cell_type": "code", "language": "python", "metadata": {}, "input": ["C = zeros(n,n,k);\n", "D = zeros(n,n,k);"]}, {"source": ["Select two consecutive points on the polygon,\n", "compute the associated normal"], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 45, "cell_type": "code", "language": "python", "metadata": {}, "input": ["i = 4;\n", "j = mod(i,k)+1;\n", "vi = V(:,i);\n", "vj = V(:,j);\n", "ni = -N(:,i);"]}, {"source": ["See the Green Coordinate paper, Appendix A, for\n", "these formula."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 46, "cell_type": "code", "language": "python", "metadata": {}, "input": ["a = repmat(vj - vi,[1 n^2]);\n", "b = repmat(vi,[1 n^2]) - W;\n", "Q = sum(a.^2); s = sum(b.^2); R = 2*sum(a.*b);\n", "na = sqrt(sum(a.^2));\n", "BA = na .* sum( b .* repmat(ni,[1 n^2]) );\n", "SRT = sqrt( 4*s.*Q - R.^2 );\n", "L0 = log(s); L1 = log(s+Q+R);\n", "A0 = atan(      R ./SRT ) ./ SRT;\n", "A1 = atan( (2*Q+R)./SRT ) ./ SRT;\n", "A10 = A1 - A0;\n", "L10 = L1 - L0;"]}, {"source": ["Add the contribution of this edge to the weights."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 47, "cell_type": "code", "language": "python", "metadata": {}, "input": ["d = - na .* ( (4*s-(R.^2)./Q) .* A10 + R./(2*Q).*L10 + L1 - 2 )  / (4*pi) ;\n", "cj = - BA .* ( L10./(2*Q) - A10 .* (  R./Q) ) / (2*pi);\n", "ci = + BA .* ( L10./(2*Q) - A10 .* (2+R./Q) ) / (2*pi);\n", "D(:,:,i) = reshape(d,n,n);\n", "C(:,:,i) = C(:,:,i) + reshape(ci,n,n);\n", "C(:,:,j) = C(:,:,j) + reshape(cj,n,n);"]}, {"source": ["__Exercise 4__\n", "\n", "Compute the full Green Coordinates."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 48, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo4()"]}, {"collapsed": false, "outputs": [], "prompt_number": 49, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}, {"source": ["Display the vertex function."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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E10YYwOM1+3yR6ROHkTTCk/DslC9fddijyzf0dhu/+s7ar982kxStJhL3k9x2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\nTWcKwkVX7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bldT0ViuGlnHjuUVWty+fUllmulsiMoxtQi2IapEmXnUgBUwQ4hQBlOkbXU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\nRK5CYII=\n", "output_type": "display_data"}], "prompt_number": 50, "cell_type": "code", "language": "python", "metadata": {}, "input": ["i = 4;\n", "c = rescale(C(:,:,i)); c(S==1) = 0;\n", "nl = 15;\n", "t = linspace(0,1,n);\n", "B = display_shape_function(c');\n", "clf; hold on;\n", "imagesc(t,t,B); axis('image'); axis('off');\n", "contour(t,t,c',nl, 'k');\n", "colormap jet(256);\n", "h = plot(V(1,[1:end 1]), V(2,[1:end 1]), 'r.-');\n", "set(h, 'LineWidth', lw); set(h, 'MarkerSize', ms);"]}, {"source": ["Display the edge function."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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P5mWZRyWcNk6InWK4M2lYf7vV/sX8rS/0ePi3bft9XxYYmVLRd8WihA3LATT8vO+PRc8G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\nmr6YBIMAABZzSURBVNq/onYzFTP831wkaVaaCQUTklQOgtpO9BfRhzCvwRU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QC+48k2cF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\n5Io6PgPOcwAAAABJRU5ErkJggg==\n", "output_type": "display_data"}], "prompt_number": 51, "cell_type": "code", "language": "python", "metadata": {}, "input": ["c = D(:,:,i); c(S==1) = 0;\n", "nl = 15;\n", "t = linspace(0,1,n);\n", "B = display_shape_function(c');\n", "clf; hold on;\n", "imagesc(t,t,B); axis('image'); axis('off');\n", "contour(t,t,c',nl, 'k');\n", "colormap jet(256);\n", "h = plot(V(1,[1:end 1]), V(2,[1:end 1]), 'r.-');\n", "set(h, 'LineWidth', lw); set(h, 'MarkerSize', ms);"]}, {"source": ["Apply the interpolation weight to the X/Y coordinate to test for the\n", "linear precision of the coordinates."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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IZUKYyoQQAADimRACAACEMiFMZUIIAADxTAgBAABCmRCm6m71DgC7krZDZrR6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\nb9ENywAAAABJRU5ErkJggg==\n", "output_type": "display_data"}], "prompt_number": 52, "cell_type": "code", "language": "python", "metadata": {}, "input": ["x = applyinterp(C,V(1,:)) + applyinterp(D,N(1,:));\n", "y = applyinterp(C,V(2,:)) + applyinterp(D,N(2,:));\n", "x(S==1) = 0; y(S==1) = 0;\n", "clf;\n", "imageplot(x, 'Should be X', 1,2,1);\n", "imageplot(y, 'Should be Y', 1,2,2);\n", "colormap jet(256);"]}, {"source": ["Modify the position of the cage."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 53, "cell_type": "code", "language": "python", "metadata": {}, "input": ["rho = .7;\n", "V1 = V*(1-rho) + V2*rho;"]}, {"source": ["Compute the modified normals."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 54, "cell_type": "code", "language": "python", "metadata": {}, "input": ["N1 = V1(:,[2:end 1]) - V1;\n", "N1 = N1 ./ repmat( sqrt(sum(N1.^2)), [2 1] );\n", "N1 = -[-N1(2,:); N1(1,:)];"]}, {"source": ["Compute the amplification factor."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 55, "cell_type": "code", "language": "python", "metadata": {}, "input": ["s = sqrt( sum( (V1(:,[2:end 1]) - V1).^2 ) ./ sum( (V(:,[2:end 1]) - V).^2 ) );\n", "s = repmat(reshape(s, [1 1 k]), [n n 1]);"]}, {"source": ["Warp the grid.\n", "Do not forget to multiply the normal weight by the amplification factor."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 56, "cell_type": "code", "language": "python", "metadata": {}, "input": ["X1 = applyinterp(C,V1(1,:)) + applyinterp(s.*D,N1(1,:));\n", "Y1 = applyinterp(C,V1(2,:)) + applyinterp(s.*D,N1(2,:));\n", "X1(S==1) = Inf; Y1(S==1) = Inf;"]}, {"source": ["Display the warped texture."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [{"metadata": {}, "png": 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EQgAAgI4SCAEAADpKIASAW+3YkRzRQwjAihIIAeBWqR7C3v/4H41MBADmTSAEAADoKIEQ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\n", "output_type": "display_data"}], "prompt_number": 57, "cell_type": "code", "language": "python", "metadata": {}, "input": ["clf; hold on;\n", "plot_surf_texture(cat(3,X1,Y1,zeros(n)), T');\n", "h = plot(V1(1,[1:end 1]), V1(2,[1:end 1]), 'r.-');\n", "set(h, 'LineWidth', lw); set(h, 'MarkerSize', ms);\n", "view(2); axis('off'); axis('equal');\n", "axis([0,1,0,1]);"]}, {"source": ["__Exercise 5__\n", "\n", "Compare the Mean value, Harmonic, and Green coordinates on serveral\n", "cages, including a cage enclosing a caracter with two legs. Try to move\n", "the legs, and compare the results."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 58, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo5()"]}, {"collapsed": false, "outputs": [], "prompt_number": 59, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}, {"source": ["Volumertric Barycentric Coordinates\n", "-----------------------------------\n", "The barycentric coordinates extends to 3D volumes."], "metadata": {}, "cell_type": "markdown"}, {"source": ["__Exercise 6__\n", "\n", "Extend the Harmonic and Green coordinates methods to volumetric cages and volumetric data."], "metadata": {}, "cell_type": "markdown"}, {"collapsed": false, "outputs": [], "prompt_number": 60, "cell_type": "code", "language": "python", "metadata": {}, "input": ["exo6()"]}, {"collapsed": false, "outputs": [], "prompt_number": 61, "cell_type": "code", "language": "python", "metadata": {}, "input": ["%% Insert your code here."]}], "metadata": {}}], "nbformat": 3, "metadata": {"kernelspec": {"name": "matlab_kernel", "language": "matlab", "display_name": "Matlab"}, "language_info": {"mimetype": "text/x-matlab", "name": "matlab", "file_extension": ".m", "help_links": [{"url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md", "text": "MetaKernel Magics"}]}}}