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52 lines
2.6 KiB
52 lines
2.6 KiB
3 years ago
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function f = TPMS()
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f1 = @(x1,y1,z1) cos(x1) + cos(y1) + cos(z1) + 0.2 ; % P-element
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f2 = @(x2,y2,z2) cos(x2).*cos(y2).*cos(z2) - sin(x2).*sin(y2).*sin(z2) + 0.2; % D-element
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f3 = @(x3,y3,z3) sin(x3).*cos(y3) + sin(y3).*cos(z3) + sin(z3).*cos(x3); % G-element
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f4 = @(x4,y4,z4) 2.*(cos(x4).*cos(y4) + cos(y4).*cos(z4) + cos(z4).*cos(x4)) ...
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- (cos(2.*x4) + cos(2.*y4) + cos(2.*z4)); % I-WP-element
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f5 = @(x5,y5,z5) -2.*(cos(2.*x5).*cos(2.*y5) + cos(2.*y5).*cos(2.*z5) + cos(2.*z5).*cos(2.*x5))...
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+ 8.*cos(x5).*cos(y5).*cos(z5); % F-RD-element
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f6 = @(x6,y6,z6) cos(2.*pi.*x6 - pi) + cos(2.*pi.*y6 - pi) + cos(2.*pi.*z6 - pi); % P-element(diff domain)
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f7 = @(x7,y7,z7) 0.8 -(f1(x7,y7,z7) + 0.2); % P-element-opposite
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f8 = @(x8,y8,z8) sin(x8 + y8)./sqrt(x8.^2 + y8.^2 + z8.^2 + 1); % Phi(x,y,z,c) = A(x,y,z) * RBF(x,y,z,c)
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f9 = @(x9,y9,z9) f1(x9,y9,z9) - f8(x9,y9,z9); % P-element(x,y,z,c) - Phi(x,y,z,c)
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f10 = @(x10,y10,z10) f7(x10,y10,z10) + f8(x10,y10,z10); % P-element-oppsite(x,y,z,c) + Phi(x,y,z,c)
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Ralpha = 0;
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f11 = @(x11,y11,z11) 1/(1+Ralpha).*(f9(x11,y11,z11) + f10(x11,y11,z11)...
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- power(power(f9(x11,y11,z11),2) + power(f10(x11,y11,z11),2)...
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- 2.* Ralpha.* f9(x11,y11,z11).* f10(x11,y11,z11),1/2)); % P-shell(with RBF)
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[x,y,z] = meshgrid(-3.2:.1:3.2,-3.2:.1:3.2,-3.2:.1:3.2);
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%[x,y,z] = meshgrid(-1.58:.1:4.72,-1.58:.1:4.72,-1.58:.1:4.72);
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%[x,y,z] = meshgrid(0:.1:6.3,0:.1:6.3,0:.1:6.3);
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%[x,y,z] = meshgrid(-5:.1:5,-5:.1:5,-5:.1:5);
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%[x,y,z] = meshgrid(-10:.1:10,-10:.1:10,-10:.1:10);
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% v = f8(x,y,z);
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% h1 = patch(isosurface(x,y,z,v,0));
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% %h2 = patch(isocaps(x,y,z,v,0));
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% set(h1,'FaceColor','[0.5 0.5 0.5]','EdgeColor','none');
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% %set(h2,'FaceColor','green','EdgeColor','none');
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% xlabel('x');ylabel('y');zlabel('z');
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% alpha(1); grid on; view([1,1,1]); axis equal; camlight; lighting gouraud
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% hold on
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% v = f7(x,y,z);
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% h1 = patch(isosurface(x,y,z,v,0));
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% %h2 = patch(isocaps(x,y,z,-v,0));
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% set(h1,'FaceColor','red','EdgeColor','none');
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% %set(h2,'FaceColor','blue','EdgeColor','none');
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% xlabel('x');ylabel('y');zlabel('z');
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% alpha(1); grid on; view([1,1,1]); axis equal; camlight; lighting gouraud
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% P-Shell
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v = f11(x,y,z);
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h1 = patch(isosurface(x,y,z,v,0));
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%h2 = patch(isocaps(x,y,z,v,0));
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set(h1,'FaceColor','red','EdgeColor','none');
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%set(h2,'FaceColor','blue','EdgeColor','none');
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xlabel('x');ylabel('y');zlabel('z');
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alpha(1); grid on; view([1,1,1]); axis equal; camlight; lighting gouraud
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f = f11;
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