利用MATLAB制作各种心形
最近闲来无事，整理了一些采用MATLAB软件来绘制心形的代码：
1、
>> [x,y,z]=meshgrid(linspace(-1.3,1.3));
>> val=(x.^2+(9/4)*y.^2+z.^2-1).^3-x.^2.*z.^3-(9/80)*y.^2.*z.^3;
>> isosurface(x,y,z,val,0)
>> axis equal
>> view(-10,24)
>> colormap flag
>> camlight
>> lighting phong
2、
>> b=0:0.01*pi:2*pi;
>> a=2;
>> r=a*(1-sin(b));
>> h=polar(b,r,'r');
>> set(h,'LineWidth',6);
3、
>> a=ezplot('17*x^2-16*abs(x)*y+17*y^2-225');
>> set(a,'color','r','LineWidth',6);
4、
>> [x,y]=meshgrid(-5:0.01:5,-5:0.01:5);
>> v=17*x.^2-16*abs(x).*y+17*y.^2+150./abs(5*x+sin(5*y))<225;
>> contourf(x,y,v);
>> colormap(jet);
5、
>> [X,Y,Z] = meshgrid(linspace(-3,3,101));
>> F = -X.^2.*Z.^3-(9/80).*Y.^2.*Z.^3+(X.^2+(9/4).*Y.^2+Z.^2-1).^3;
>> hFigure = figure;
>> sz = get(hFigure, 'Position');
>> set(hFigure, 'Position', [sz(1)-0.15*sz(3) sz(2) 1.3*sz(3) sz(4)]);
>> set(hFigure,'color','w', 'menu','none')
>> hAxes = axes('Parent',hFigure,'NextPlot','add', 'DataAspectRatio',[1 1 1], 'XLim',[30 120],'YLim',[35 65],'ZLim',[30 75]);
>> view([-39 30]);
>> axis off
>> hidden on
>> p = patch(isosurface(F,-0.001));
>> set(p,'FaceColor','w','EdgeColor','none');
>> for iX = [35 38 41 45 48 51 54 57 61 64 67]
plane = reshape(F(:,iX,:),101,101);
cData = contourc(plane,[0 0]);
xData = iX.*ones(1,cData(2,1));
h3=plot3(hAxes,xData,cData(2,2:end),cData(1,2:end),'k');
set(h3,'color','r');
pause(.1), drawnow
end
>> for iY = [41 44 47 51 55 58 61]
plane = reshape(F(iY,:,:),101,101);
cData = contourc(plane,[0 0]);
yData = iY.*ones(1,cData(2,1));
h4=plot3(hAxes,cData(2,2:end),yData,cData(1,2:end),'k');
set(h4,'color','r');
pause(.1), drawnow
end
>> for iZ = [36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 69 71]
plane = F(:,:,iZ);
cData = contourc(plane,[0 0]);
startIndex = 1;
if size(cData,2) > (cData(2,1)+1)
startIndex = cData(2,1)+2;
zData = iZ.*ones(1,cData(2,1));
h0=plot3(hAxes,cData(1,2:(startIndex-1)),cData(2,2:(startIndex-1)),zData,'k');
set(h0,'color','r');
end
zData = iZ.*ones(1,cData(2,startIndex));
h1=plot3(hAxes,cData(1,(startIndex+1):end),cData(2,(startIndex+1):end),zData,'k');
set(h1,'color','r');
pause(.1), drawnow
end
>> pause(.2)
>> text(7,50,70,'I', 'color','r','fontWeight','bold','FontAngle','italic','fontsize',100)
>> pause(.5)
>> text(80,50,43,'YOU','color','r' ,'fontWeight','bold','FontAngle','italic','fontsize',100)
>> pause(.2)
>> line([20 80],[50 50],[52.5 52.5], 'color','k')
>> line([50 50],[20 80],[52.5 52.5], 'color','k')
>> line([50 50],[50 50],[30 80], 'color','k')
>> text(20,50,50,'x')
>> text(48,20,50,'y')
>> text(45,50,80,'z')
>> text(30,60,30,'(x^2+9/4y^2+z^2-1)^3 - x^2z^3-9/80y^2z^3=0', 'fontsize',8)
>> text(35,45,30,'-3<3', 'fontsize',8)
6、
>> f=@(x,y,z)(x.^2+ (9./4).*y.^2 + z.^2 - 1).^3 - x.^2.*z.^3 - (9./80).*y.^2.*z.^3;
>> [x,y,z]=meshgrid(linspace(-3,3));
>> val=f(x,y,z);
>> [p,v]=isosurface(x,y,z,val,0);
>> patch('faces',p,'vertices',v,'facevertexcdata',jet(size(v,1)),'facecolor','w','edgecolor','flat');
>> view(3);
>> grid on;
>> axis equal;
