七夕节快到了，教你用MATLAB绘制blingbling的大钻石

1效果

2程序说明

其实非常简单，只需要计算出各个顶点位置，并用fill3绘制一个个面出来即可，为了钻石的色彩更加丰富，我们用light函数设置了光照并为fill3创建出的PATCH对象设置了以下属性。

• FaceAlpha 面透明度
• EdgeAlpha 边透明度
• FaceLighting 面照亮方式(是整个面相同颜色还是通过插值不同位置不同颜色)
• EdgeLighting 边照亮方式(与面照亮方式类似)
• SpecularStrength 镜面反射的强度
• DiffuseStrength 散射光的强度
• AmbientStrength 环境光的强度

其中： 若将PATCH属性由：

faceColor=[0 71 177];
facePara={faceColor./255,'FaceAlpha',0.6,'EdgeColor',faceColor./255.*0.8,'EdgeAlpha',0.3,...
      'FaceLighting','gouraud','EdgeLighting','gouraud',...
      'SpecularStrength',0.9,'DiffuseStrength',0.7,'AmbientStrength',0.7};  % 面参数

改为：

faceColor=[237 64 153];
facePara={faceColor./255,'FaceAlpha',0.4,'EdgeColor',faceColor./255.*0.8,'EdgeAlpha',0.2,...
      'FaceLighting','gouraud','EdgeLighting','gouraud',...
      'SpecularStrength',0.9,'DiffuseStrength',0.7,'AmbientStrength',0.6}; % 面参数

则钻石变成这个样子： 另： 大家可以猜猜下面这个钻石是咋画的：

3完整代码

function diamond
hold on
ax=gca;
axis equal
grid on
ax.GridLineStyle='--';
ax.LineWidth=1.2;
ax.XLim=[-2,2];
ax.YLim=[-2,2];
ax.ZLim=[-1.8,1.5];
ax.XColor=[1,1,1].*0.4;
ax.YColor=[1,1,1].*0.4;
ax.ZColor=[1,1,1].*0.4;
ax.DataAspectRatio=[1,1,1];
ax.DataAspectRatioMode='manual';
ax.CameraPosition=[-67.6287 -204.5276   82.7879];

light('Position',[5,6,5])

thetaSet8=linspace(0,2*pi-pi/4,8)';
thetaSet16=linspace(0,2*pi-pi/8,16)';

faceColor=[0 71 177];
facePara={faceColor./255,'FaceAlpha',0.6,'EdgeColor',faceColor./255.*0.8,'EdgeAlpha',0.3,...
      'FaceLighting','gouraud','EdgeLighting','gouraud',...
      'SpecularStrength',0.9,'DiffuseStrength',0.7,'AmbientStrength',0.7};  % 面参数
  
% faceColor=[237 64 153];
% facePara={faceColor./255,'FaceAlpha',0.4,'EdgeColor',faceColor./255.*0.8,'EdgeAlpha',0.2,...
%       'FaceLighting','gouraud','EdgeLighting','gouraud',...
%       'SpecularStrength',0.9,'DiffuseStrength',0.7,'AmbientStrength',0.6}; % 面参数
  
% 绘制最上方八边形
pntSet1=[cos(thetaSet8),sin(thetaSet8),ones(8,1)];
fill3(pntSet1(:,1),pntSet1(:,2),pntSet1(:,3),facePara{:})

% 一圈8个三角形
pntSet2=[cos(thetaSet8+pi/8).*1.3,sin(thetaSet8+pi/8).*1.3,ones(8,1).*0.7];
for i=1:8
    p1=i;
    p2=mod(i,8)+1;
    p3=i;
    fill3([pntSet1([p1,p2],1);pntSet2(p3,1)],...
          [pntSet1([p1,p2],2);pntSet2(p3,2)],...
          [pntSet1([p1,p2],3);pntSet2(p3,3)],facePara{:})
end

% 一圈8个四边形
pntSet3=[cos(thetaSet8).*1.7,sin(thetaSet8).*1.7,ones(8,1).*0.3];
for i=1:8
    p1=mod(i,8)+1;
    p2=i;
    p3=p1;
    p4=p1;
    fill3([pntSet1(p1,1);pntSet2(p2,1);pntSet3(p3,1);pntSet2(p4,1)],...
          [pntSet1(p1,2);pntSet2(p2,2);pntSet3(p3,2);pntSet2(p4,2)],...
          [pntSet1(p1,3);pntSet2(p2,3);pntSet3(p3,3);pntSet2(p4,3)],facePara{:})
end

% 一圈16个三角形
pntSet4=[cos(thetaSet16).*1.7,sin(thetaSet16).*1.7,ones(16,1).*0.3];
for i=1:8
    p1=i;
    p2=2*i-1;
    p3=2*i;
    fill3([pntSet2(p1,1);pntSet4([p2,p3],1)],...
          [pntSet2(p1,2);pntSet4([p2,p3],2)],...
          [pntSet2(p1,3);pntSet4([p2,p3],3)],facePara{:})
    p2=2*i;
    p3=mod(2*i,16)+1;
    fill3([pntSet2(p1,1);pntSet4([p2,p3],1)],...
          [pntSet2(p1,2);pntSet4([p2,p3],2)],...
          [pntSet2(p1,3);pntSet4([p2,p3],3)],facePara{:})
end

% 一圈16个四边角形
pntSet5=[cos(thetaSet16).*1.7,sin(thetaSet16).*1.7,ones(16,1).*0.15];
for i=1:16
    p1=i;p2=mod(i,16)+1;
    p3=mod(i,16)+1;p4=i;
    fill3([pntSet4(p1,1);pntSet4(p2,1);pntSet5(p3,1);pntSet5(p4,1)],...
          [pntSet4(p1,2);pntSet4(p2,2);pntSet5(p3,2);pntSet5(p4,2)],...
          [pntSet4(p1,3);pntSet4(p2,3);pntSet5(p3,3);pntSet5(p4,3)],facePara{:})
end
pntSet6=[cos(thetaSet8+pi/8).*0.4,sin(thetaSet8+pi/8).*0.4,ones(8,1).*(-1.15)];

% 一圈16个长三角形
for i=1:8
    p1=i;
    p2=2*i-1;
    p3=2*i;
    fill3([pntSet6(p1,1);pntSet5([p2,p3],1)],...
          [pntSet6(p1,2);pntSet5([p2,p3],2)],...
          [pntSet6(p1,3);pntSet5([p2,p3],3)],facePara{:})
    p2=2*i;
    p3=mod(2*i,16)+1;
    fill3([pntSet6(p1,1);pntSet5([p2,p3],1)],...
          [pntSet6(p1,2);pntSet5([p2,p3],2)],...
          [pntSet6(p1,3);pntSet5([p2,p3],3)],facePara{:})
end

% 一圈8个长四边形
pntSet7=[cos(thetaSet8).*1.7,sin(thetaSet8).*1.7,ones(8,1).*0.15];
for i=1:8
    p1=mod(i,8)+1;
    p2=i;
    p4=mod(i,8)+1;
    fill3([pntSet7(p1,1);pntSet6(p2,1);0;pntSet6(p4,1)],...
          [pntSet7(p1,2);pntSet6(p2,2);0;pntSet6(p4,2)],...
          [pntSet7(p1,3);pntSet6(p2,3);-1.5;pntSet6(p4,3)],facePara{:})
    
end
end

4其他过节可能会用到的程序

↓ ↓ ↓ ↓ ↓ ↓ ↓ ↓ ↓ ↓ ↓ ↓ ↓ ↓ ↓ ↓ ↓ ↓ ↓ ↓ ↓ ！！！！点击图片跳转连接！！！！ ↑ ↑ ↑ ↑ ↑ ↑ ↑ ↑ ↑ ↑ ↑ ↑ ↑ ↑ ↑ ↑ ↑ ↑ ↑ ↑ ↑

4.1玫瑰花球 4.2樱花树 4.3立体爱心九宫格 4.4立体玫瑰花 4.5水晶爱心 4.6两款相册 -1紫色钻石

抱歉大家我确实不记得具体的参数了，不过下面这份代码大家可以试一下： 这份代码的效果：

需要注意的是，很多角度下并不会产生中间色，只会显示原本的粉色或紫色，只有一部分角度会有很绚丽的颜色， 另：该份代码中对光源的设置设置了两遍：

light('Position',[5,6,5])

这样确实会使钻石某些反射面亮度更高更绚丽。 以下是绘制两遍钻石的代码，大家可以对各个部分数据进行调整以获得更绚丽的效果：

function diamondx2
hold on
ax=gca;
axis equal
grid on
ax.GridLineStyle='--';
ax.LineWidth=1.2;
ax.XLim=[-2,2];
ax.YLim=[-2,2];
ax.ZLim=[-1.8,1.5];
ax.XColor=[1,1,1].*0.4;
ax.YColor=[1,1,1].*0.4;
ax.ZColor=[1,1,1].*0.4;
ax.DataAspectRatio=[1,1,1];
ax.DataAspectRatioMode='manual';
ax.CameraPosition=[-67.6287 -204.5276   82.7879];

light('Position',[5,6,5])
light('Position',[5,6,5])


faceColor=[0 71 177];
facePara={faceColor./255,'FaceAlpha',0.4,'EdgeColor',faceColor./255.*0.8,'EdgeAlpha',0.2,...
      'FaceLighting','gouraud','EdgeLighting','gouraud',...
      'SpecularStrength',0.9,'DiffuseStrength',0.8,'AmbientStrength',0.7}; % 面参数 
drawDiamond(facePara)

faceColor=[237 64 153];
facePara={faceColor./255,'FaceAlpha',0.4,'EdgeColor',faceColor./255.*0.8,'EdgeAlpha',0.2,...
      'FaceLighting','gouraud','EdgeLighting','gouraud',...
      'SpecularStrength',0.9,'DiffuseStrength',0.8,'AmbientStrength',0.7}; % 面参数 
drawDiamond(facePara) 

    function drawDiamond(facePara)
        
        thetaSet8=linspace(0,2*pi-pi/4,8)';
        thetaSet16=linspace(0,2*pi-pi/8,16)';
        
        % 绘制最上方八边形
        pntSet1=[cos(thetaSet8),sin(thetaSet8),ones(8,1)];
        fill3(pntSet1(:,1),pntSet1(:,2),pntSet1(:,3),facePara{:})
        
        % 一圈8个三角形
        pntSet2=[cos(thetaSet8+pi/8).*1.3,sin(thetaSet8+pi/8).*1.3,ones(8,1).*0.7];
        for i=1:8
            p1=i;
            p2=mod(i,8)+1;
            p3=i;
            fill3([pntSet1([p1,p2],1);pntSet2(p3,1)],...
                [pntSet1([p1,p2],2);pntSet2(p3,2)],...
                [pntSet1([p1,p2],3);pntSet2(p3,3)],facePara{:})
        end
        
        % 一圈8个四边形
        pntSet3=[cos(thetaSet8).*1.7,sin(thetaSet8).*1.7,ones(8,1).*0.3];
        for i=1:8
            p1=mod(i,8)+1;
            p2=i;
            p3=p1;
            p4=p1;
            fill3([pntSet1(p1,1);pntSet2(p2,1);pntSet3(p3,1);pntSet2(p4,1)],...
                [pntSet1(p1,2);pntSet2(p2,2);pntSet3(p3,2);pntSet2(p4,2)],...
                [pntSet1(p1,3);pntSet2(p2,3);pntSet3(p3,3);pntSet2(p4,3)],facePara{:})
        end
        
        % 一圈16个三角形
        pntSet4=[cos(thetaSet16).*1.7,sin(thetaSet16).*1.7,ones(16,1).*0.3];
        for i=1:8
            p1=i;
            p2=2*i-1;
            p3=2*i;
            fill3([pntSet2(p1,1);pntSet4([p2,p3],1)],...
                [pntSet2(p1,2);pntSet4([p2,p3],2)],...
                [pntSet2(p1,3);pntSet4([p2,p3],3)],facePara{:})
            p2=2*i;
            p3=mod(2*i,16)+1;
            fill3([pntSet2(p1,1);pntSet4([p2,p3],1)],...
                [pntSet2(p1,2);pntSet4([p2,p3],2)],...
                [pntSet2(p1,3);pntSet4([p2,p3],3)],facePara{:})
        end
        
        % 一圈16个四边角形
        pntSet5=[cos(thetaSet16).*1.7,sin(thetaSet16).*1.7,ones(16,1).*0.15];
        for i=1:16
            p1=i;p2=mod(i,16)+1;
            p3=mod(i,16)+1;p4=i;
            fill3([pntSet4(p1,1);pntSet4(p2,1);pntSet5(p3,1);pntSet5(p4,1)],...
                [pntSet4(p1,2);pntSet4(p2,2);pntSet5(p3,2);pntSet5(p4,2)],...
                [pntSet4(p1,3);pntSet4(p2,3);pntSet5(p3,3);pntSet5(p4,3)],facePara{:})
        end
        pntSet6=[cos(thetaSet8+pi/8).*0.4,sin(thetaSet8+pi/8).*0.4,ones(8,1).*(-1.15)];
        
        % 一圈16个长三角形
        for i=1:8
            p1=i;
            p2=2*i-1;
            p3=2*i;
            fill3([pntSet6(p1,1);pntSet5([p2,p3],1)],...
                [pntSet6(p1,2);pntSet5([p2,p3],2)],...
                [pntSet6(p1,3);pntSet5([p2,p3],3)],facePara{:})
            p2=2*i;
            p3=mod(2*i,16)+1;
            fill3([pntSet6(p1,1);pntSet5([p2,p3],1)],...
                [pntSet6(p1,2);pntSet5([p2,p3],2)],...
                [pntSet6(p1,3);pntSet5([p2,p3],3)],facePara{:})
        end
        
        % 一圈8个长四边形
        pntSet7=[cos(thetaSet8).*1.7,sin(thetaSet8).*1.7,ones(8,1).*0.15];
        for i=1:8
            p1=mod(i,8)+1;
            p2=i;
            p4=mod(i,8)+1;
            fill3([pntSet7(p1,1);pntSet6(p2,1);0;pntSet6(p4,1)],...
                [pntSet7(p1,2);pntSet6(p2,2);0;pntSet6(p4,2)],...
                [pntSet7(p1,3);pntSet6(p2,3);-1.5;pntSet6(p4,3)],facePara{:})
            
        end
    end
end