MATLAB 立体爱心九宫格

程序员文章站 2023-12-30 22:23:22

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参考材料 | 文献:
代码参考：Heart Model for Valentine’s Day
创意来源：Matlab 可以做一些什么有意思的事？
参考文献：Wolfram MathWorld Heart Surface

代码运行效果:
MATLAB 立体爱心九宫格
完整代码:

function heartSudoku2
sizeTheta=30;
sizeFai=40;
theta=linspace(0,pi,sizeTheta)';
nudge=0.0001; % used to avoid the operlapping
fai=linspace(0+nudge,pi/2-nudge,round(sizeFai/4));
a=9/4;
b=9/80;
A=1+(a-1)*(sin(theta).^2)*(sin(fai).^2);
B=(sin(theta).^2.*cos(theta).^3) * (1+(b-1)*(sin(fai).^2));
rou = zeros(size(A));
for iLoop=1:numel(A)
    curA=A(iLoop);
    curB=B(iLoop);
    % this is the polar coordinates version of the sextic equation found on
    % http://mathworld.wolfram.com/HeartSurface.html
    polyFactors=[curA^3,-curB,-3*curA^2,0,3*curA,0,-1];
    solutions=roots(polyFactors);    
    realRou=real(solutions(abs(imag(solutions))<1e-9));
    rou(iLoop)=realRou(realRou>0);    
end

% x,y,z for the quater of whole heart
x=rou.*(sin(theta)*cos(fai));
y=rou.*(sin(theta)*sin(fai));
z=rou.*(cos(theta)*ones(size(fai)));

% x,y,z for the whole heart
cordX=[x,-fliplr(x),-x,fliplr(x)];
cordY=[y,fliplr(y),-y,-fliplr(y)];
cordZ=[z,fliplr(z),z,fliplr(z)];

heartSudokuFig=figure('units','pixels',...
    'position',[200 50 630 630],...
    'Numbertitle','off',...
    'menubar','none',...
    'resize','off',...
    'name','heart sudoku',...
    'color',[0.99 0.99 0.99]);
for i=1:3
    for j=1:3
      heartSudokuAxes(i,j)=axes('Units','pixels',...
      'parent',heartSudokuFig,...
      'Position',[(i-1)*210-25,(j-1)*210-25-10,210+50,210+50],...
      'Color',[0.99 0.99 0.99],...
      'Box','on', ...
      'XLim',[-1.28,1.28],'YLim',[-1.28,1.28],'ZLim',[-1.28,1.28],...
      'XColor','none','YColor','none','ZColor','none');
      hold(heartSudokuAxes(i,j),'on')
      camtarget([0, 0, 0]);
      view(30,20);
      
    end
end
markerColor=[248 150 170]./255;
lineColor=[248 150 170]./255;
lineWidth=0.8;
%[1 1]=====================================================================
for iLoop=1:3:size(cordX,1)
    plot3(heartSudokuAxes(1,1),cordX(iLoop,:),cordY(iLoop,:),cordZ(iLoop,:),...
        'Marker','.','MarkerSize',3.5,'MarkerEdgeColor',markerColor,'LineStyle','none');
    plot3(heartSudokuAxes(1,1),cordX(iLoop,:),cordY(iLoop,:),cordZ(iLoop,:),...
        'color',lineColor,'LineStyle','-','LineWidth',lineWidth);
end
for iLoop=1:4:size(cordX,2)
    plot3(heartSudokuAxes(1,1),cordX(:,iLoop),cordY(:,iLoop),cordZ(:,iLoop),...
        'color',lineColor,'LineStyle','-','LineWidth',lineWidth);
end
%[1 2]=====================================================================
for iLoop=1:3:size(cordX,1)
    plot3(heartSudokuAxes(1,2),cordX(iLoop,:),cordY(iLoop,:),cordZ(iLoop,:),...
        'Marker','.','MarkerSize',3.5,'MarkerEdgeColor',markerColor,'LineStyle','none');
    plot3(heartSudokuAxes(1,2),cordX(iLoop,:),cordY(iLoop,:),cordZ(iLoop,:),'color',...
        lineColor,'LineStyle','-','LineWidth',lineWidth);
end
for iLoop=1:size(cordX,2)
    plot3(heartSudokuAxes(1,2),cordX(:,iLoop),cordY(:,iLoop),cordZ(:,iLoop),'color',...
        lineColor,'LineStyle','-','LineWidth',lineWidth);
end
%[1 3]=====================================================================
for iLoop=1:size(cordX,1)
    plot3(heartSudokuAxes(1,3),cordX(iLoop,:),cordY(iLoop,:),cordZ(iLoop,:),...
        'Marker','.','MarkerSize',3.5,'MarkerEdgeColor',markerColor,'LineStyle','none');
    plot3(heartSudokuAxes(1,3),cordX(iLoop,:),cordY(iLoop,:),cordZ(iLoop,:),...
        'color',lineColor,'LineStyle','-','LineWidth',lineWidth);
end
for iLoop=1:size(cordX,2)
    plot3(heartSudokuAxes(1,3),cordX(:,iLoop),cordY(:,iLoop),cordZ(:,iLoop),...
        'color',lineColor,'LineStyle','-','LineWidth',lineWidth);
end
%[2 1]=====================================================================
for iLoop=[2 8 15 25]
    plot3(heartSudokuAxes(2,1),cordX(iLoop,:),cordY(iLoop,:),cordZ(iLoop,:),...
        'Marker','.','MarkerSize',3.5,'MarkerEdgeColor',markerColor,'LineStyle','none');
    plot3(heartSudokuAxes(2,1),cordX(iLoop,:),cordY(iLoop,:),cordZ(iLoop,:),...
        'color',lineColor,'LineStyle','-','LineWidth',lineWidth);
end
for iLoop=1:2:size(cordX,2)
    plot3(heartSudokuAxes(2,1),cordX(:,iLoop),cordY(:,iLoop),cordZ(:,iLoop),...
        'color',lineColor,'LineStyle','-','LineWidth',lineWidth);
end
%[2 2]=====================================================================
for iLoop=1:2:size(cordX,1)
    plot3(heartSudokuAxes(2,2),cordX(iLoop,:),cordY(iLoop,:),cordZ(iLoop,:),...
        'Marker','.','MarkerSize',3.5,'MarkerEdgeColor',markerColor,'LineStyle','none');
    plot3(heartSudokuAxes(2,2),cordX(iLoop,:),cordY(iLoop,:),cordZ(iLoop,:),...
        'color',lineColor,'LineStyle','-','LineWidth',lineWidth);
end
for iLoop=1:2:size(cordX,2)
    plot3(heartSudokuAxes(2,2),cordX(:,iLoop),cordY(:,iLoop),cordZ(:,iLoop),...
        'color',lineColor,'LineStyle','-','LineWidth',lineWidth);
end
%[2 3]=====================================================================
for iLoop=[1 3 5 9 20 25 27]
    plot3(heartSudokuAxes(2,3),cordX(iLoop,:),cordY(iLoop,:),cordZ(iLoop,:),...
        'Marker','.','MarkerSize',3.5,'MarkerEdgeColor',markerColor,'LineStyle','none');
    plot3(heartSudokuAxes(2,3),cordX(iLoop,:),cordY(iLoop,:),cordZ(iLoop,:),...
        'color',lineColor,'LineStyle','-','LineWidth',lineWidth);
end
for iLoop=1:size(cordX,2)
    plot3(heartSudokuAxes(2,3),cordX(:,iLoop),cordY(:,iLoop),cordZ(:,iLoop),...
        'color',lineColor,'LineStyle','-','LineWidth',lineWidth);
end
%[3 1]=====================================================================
for iLoop=[2 6 8 15 ]
    plot3(heartSudokuAxes(3,1),cordX(iLoop,:),cordY(iLoop,:),cordZ(iLoop,:),...
        'Marker','.','MarkerSize',3.5,'MarkerEdgeColor',markerColor,'LineStyle','none');
    plot3(heartSudokuAxes(3,1),cordX(iLoop,:),cordY(iLoop,:),cordZ(iLoop,:),...
        'color',lineColor,'LineStyle','-','LineWidth',lineWidth);
end
for iLoop=[8 9 18 21 30 32 35 40]
    plot3(heartSudokuAxes(3,1),cordX(:,iLoop),cordY(:,iLoop),cordZ(:,iLoop),...
        'color',lineColor,'LineStyle','-','LineWidth',lineWidth);
end
%[3 2]=====================================================================
for iLoop=[8 12 15 18 23 25]
    plot3(heartSudokuAxes(3,2),cordX(iLoop,:),cordY(iLoop,:),cordZ(iLoop,:),...
        'Marker','.','MarkerSize',3.5,'MarkerEdgeColor',markerColor,'LineStyle','none');
    plot3(heartSudokuAxes(3,2),cordX(iLoop,:),cordY(iLoop,:),cordZ(iLoop,:),...
        'color',lineColor,'LineStyle','-','LineWidth',lineWidth);
end
for iLoop=[8 9 18 21 25 28 30 32 35 40]
    plot3(heartSudokuAxes(3,2),cordX(:,iLoop),cordY(:,iLoop),cordZ(:,iLoop),...
        'color',lineColor,'LineStyle','-','LineWidth',lineWidth);
end
%[3 3]=====================================================================
for iLoop=[8 18 25]
    plot3(heartSudokuAxes(3,3),cordX(iLoop,:),cordY(iLoop,:),cordZ(iLoop,:),...
        'Marker','.','MarkerSize',3.5,'MarkerEdgeColor',markerColor,'LineStyle','none');
    plot3(heartSudokuAxes(3,3),cordX(iLoop,:),cordY(iLoop,:),cordZ(iLoop,:),...
        'color',lineColor,'LineStyle','-','LineWidth',lineWidth);
end
for iLoop=1:3:40
    plot3(heartSudokuAxes(3,3),cordX(:,iLoop),cordY(:,iLoop),cordZ(:,iLoop),...
        'color',lineColor,'LineStyle','-','LineWidth',lineWidth);
end
end

注：
由于各心形的形状要体现随机性，故各个心形的数据是单独编辑的，如果想要获得规整的心形，不妨采用如下方法：
MATLAB 立体爱心九宫格
效果：

另：
对于参考代码，源文件中附带以下版权声明，依据声明中要求在此进行展示，同时提醒代码在进行再次发布和利用时须附带此声明：

Copyright © 2009, Xin Zhao
All rights reserved.
Redistribution and use in source and binary forms, with or without
modification, are permitted provided that the following conditions are
met:

* Redistributions of source code must retain the above copyright
  notice, this list of conditions and the following disclaimer.
* Redistributions in binary form must reproduce the above copyright
  notice, this list of conditions and the following disclaimer in
  the documentation and/or other materials provided with the distribution
* Neither the name of the The MathWorks, Inc. nor the names
  of its contributors may be used to endorse or promote products derived
  from this software without specific prior written permission.

THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS “AS IS”
AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
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POSSIBILITY OF SUCH DAMAGE.

MATLAB 立体爱心九宫格

MATLAB 立体爱心九宫格

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