MATLAB画冰墩墩
function bingdundun
ax=gca;
ax.DataAspectRatio=[1 1 1];
ax.XLim=[-5 5];
ax.YLim=[-5 5];
hold(ax,'on')
% =========================================================================
% 绘制冰糖外壳
[X,Y]=getEllipse([0,0],[1,0;0,1.3],3.17^2,200);
plot(X,Y,'Color',[57,57,57]./255,'LineWidth',1.8)
%
[X,Y]=getEllipse([1.7,2.6],[1.2,0;0,1.8],.65^2,200);
plot(X,Y,'Color',[57,57,57]./255,'LineWidth',1.8)
plot(-X,Y,'Color',[57,57,57]./255,'LineWidth',1.8)
[X,Y]=getEllipse([1.7,2.6],[1.2,0;0,1.8],.6^2,200);
fill(X,Y,[1,1,1],'EdgeColor',[1,1,1],'LineWidth',1.8)
fill(-X,Y,[1,1,1],'EdgeColor',[1,1,1],'LineWidth',1.8)
%
[X,Y]=getEllipse([-3.5,-1],[1.1,.3;.3,1.1],.75^2,200);
plot(X,Y,'Color',[57,57,57]./255,'LineWidth',1.8)
[X,Y]=getEllipse([-3.5,-1],[1.1,.3;.3,1.1],.68^2,200);
fill(X,Y,[1,1,1],'EdgeColor',[1,1,1],'LineWidth',1.8)
[X,Y]=getEllipse([3.5,1],[1.1,.3;.3,1.1],.75^2,200);
plot(X,Y,'Color',[57,57,57]./255,'LineWidth',1.8)
[X,Y]=getEllipse([3.5,1],[1.1,.3;.3,1.1],.68^2,200);
fill(X,Y,[1,1,1],'EdgeColor',[1,1,1],'LineWidth',1.8)
%
X=[-3.8,-2,-3];
Y=[-.51+.13,1+.13,-1];
plot(X,Y,'Color',[57,57,57]./255,'LineWidth',1.8)
plot(-X,-Y,'Color',[57,57,57]./255,'LineWidth',1.8)
X=[-3.8,-2,-3];
Y=[-.51+.03,1+.03,-1];
fill(X,Y,[1,1,1],'EdgeColor',[1,1,1],'LineWidth',1.8)
fill(-X,-Y,[1,1,1],'EdgeColor',[1,1,1],'LineWidth',1.8)
%
[X,Y]=getEllipse([0,-.1],[1,0;0,1.6],.9^2,200);
Y(Y<0)=Y(Y<0).*.2;Y=Y-4.2;X=X-1.2;
plot(X,Y,'Color',[57,57,57]./255,'LineWidth',2)
plot(-X,Y,'Color',[57,57,57]./255,'LineWidth',2)
rectangle('Position',[-2.1 -4.2 1.7 3],'Curvature',0.4,...
'FaceColor',[1 1 1],'EdgeColor',[57,57,57]./255,'LineWidth',1.8)
rectangle('Position',[2.1-1.7 -4.2 1.7 3],'Curvature',0.4,...
'FaceColor',[1 1 1],'EdgeColor',[57,57,57]./255,'LineWidth',1.8)
[X,Y]=getEllipse([0,-.1],[1,0;0,1.6],.8^2,200);
Y(Y<0)=Y(Y<0).*.2;Y=Y-4.1;X=X-1.2;
fill(X,Y,[1,1,1],'EdgeColor',[1,1,1],'LineWidth',1.8)
fill(-X,Y,[1,1,1],'EdgeColor',[1,1,1],'LineWidth',1.8)
%
[X,Y]=getEllipse([0,0],[1,0;0,1.3],3.1^2,200);
fill(X,Y,[1,1,1],'EdgeColor',[1,1,1],'LineWidth',1.8)
% =========================================================================
% 耳朵
[X,Y]=getEllipse([1.7,2.6],[1.2,0;0,1.8],.5^2,200);
fill(X,Y,[57,57,57]./255,'EdgeColor',[57,57,57]./255,'LineWidth',2)
fill(-X,Y,[57,57,57]./255,'EdgeColor',[57,57,57]./255,'LineWidth',2)
% 胳膊
[X,Y]=getEllipse([-3.5,-1],[1.1,.3;.3,1.1],.6^2,200);
fill(X,Y,[57,57,57]./255,'EdgeColor',[57,57,57]./255,'LineWidth',2)
[X,Y]=getEllipse([3.5,1],[1.1,.3;.3,1.1],.6^2,200);
fill(X,Y,[57,57,57]./255,'EdgeColor',[57,57,57]./255,'LineWidth',2)
X=[-3.8,-2,-3];
Y=[-.51,1,-1];
fill(X,Y,[57,57,57]./255,'EdgeColor',[57,57,57]./255)
fill(-X,-Y,[57,57,57]./255,'EdgeColor',[57,57,57]./255)
tt=linspace(-2.9,2.9,1000);
X=16.*(sin(tt)).^3;
Y=13.*cos(tt)-5.*cos(2.*tt)-2.*cos(3.*tt)-cos(4.*tt);
X=X.*.018+3.6;
Y=Y.*.018+1.1;
fill(X,Y,[180,39,45]./255,'EdgeColor',[180,39,45]./255,'LineWidth',2)
% 腿
[X,Y]=getEllipse([0,-.1],[1,0;0,1.6],.7^2,200);
Y(Y<0)=Y(Y<0).*.2;Y=Y-4.1;X=X-1.2;
fill(X,Y,[57,57,57]./255,'EdgeColor',[57,57,57]./255,'LineWidth',2)
fill(-X,Y,[57,57,57]./255,'EdgeColor',[57,57,57]./255,'LineWidth',2)
rectangle('Position',[-1.95 -4.3 1.4 3],'Curvature',0.4,...
'FaceColor',[57,57,57]./255,'EdgeColor',[57,57,57]./255)
rectangle('Position',[1.95-1.4 -4.3 1.4 3],'Curvature',0.4,...
'FaceColor',[57,57,57]./255,'EdgeColor',[57,57,57]./255)
% 身体
[X,Y]=getEllipse([0,0],[1,0;0,1.3],3^2,200);
fill(X,Y,[1,1,1],'EdgeColor',[57,57,57]./255,'LineWidth',2.5)
% 五环
cList=[132,199,114;251,184,77;89,120,177;158,48,87;98,205,247];
for i=1:5
[X,Y]=getEllipse([0,0],[1.6,0;0,1.3],(2.05-0.05.*i)^2,200);
Y(Y<0)=Y(Y<0).*.8;Y=Y+.5;
fill(X,Y,[1,1,1],'EdgeColor',cList(i,:)./255,'LineWidth',2.5)
end
% 眼睛
[X,Y]=getEllipse([1.2,1.2],[1.2,-.5;-.5,1.1],.65^2,200);
fill(X,Y,[57,57,57]./255,'EdgeColor',[57,57,57]./255,'LineWidth',2)
fill(-X,Y,[57,57,57]./255,'EdgeColor',[57,57,57]./255,'LineWidth',2)
[X,Y]=getEllipse([.95,1.3],[1,0;0,1],.35^2,200);
fill(X,Y,[57,57,57]./255,'EdgeColor',[1,1,1],'LineWidth',1.6)
fill(-X,Y,[57,57,57]./255,'EdgeColor',[1,1,1],'LineWidth',1.6)
[X,Y]=getEllipse([.95,1.3],[1,0;0,1],.1^2,200);
fill(X+.18,Y,[1,1,1],'EdgeColor',[57,57,57]./255,'LineWidth',.5)
fill(-X+.18,Y,[1,1,1],'EdgeColor',[57,57,57]./255,'LineWidth',.5)
% 嘴巴
[X,Y]=getEllipse([0.05,.2],[1.2,.15;.15,.8],.69^2,200);
fill(X,Y,[57,57,57]./255,'EdgeColor',[57,57,57]./255,'LineWidth',2)
[X,Y]=getEllipse([0,.75],[1,0.2;0.2,.3],.4^2,200);
fill(X,Y,[1,1,1],'EdgeColor',[1,1,1],'LineWidth',2)
[X,Y]=getEllipse([0,0],[.8,0;0,.2],.6^2,200);
fill(X,Y,[180,39,45]./255,'EdgeColor',[180,39,45]./255,'LineWidth',2)
% 鼻子
[X,Y]=getEllipse([0,-.1],[1,0;0,1.6],.2^2,200);
Y(Y<0)=Y(Y<0).*.2;Y=-Y+.9;
fill(X,Y,[57,57,57]./255,'EdgeColor',[57,57,57]./255,'LineWidth',2)
% =========================================================================
% 冬奥会标志及五环
% 五环
tt=linspace(0,2*pi,100);
X=cos(tt).*.14;
Y=sin(tt).*.14;
plot(X,Y-2.8,'Color',[57,57,57]./255,'LineWidth',1.2)
plot(X-.3,Y-2.8,'Color',[106,201,245]./255,'LineWidth',1.2)
plot(X+.3,Y-2.8,'Color',[155,79,87]./255,'LineWidth',1.2)
plot(X-.15,Y-2.9,'Color',[236,197,107]./255,'LineWidth',1.2)
plot(X+.15,Y-2.9,'Color',[126,159,101]./255,'LineWidth',1.2)
% 文本
text(0,-2.4,'BEIJING 2022','HorizontalAlignment','center',...
'FontSize',8,'FontName','Comic Sans MS')
% 标志
fill([.1,-.12,-.08],[0,0-0.05,-0.15]-1.5,[98,118,163]./255,'EdgeColor',[98,118,163]./255)
fill([-.08,-.35,.1],[-0.1,-.2,-.1]-1.6,[98,118,163]./255,'EdgeColor',[98,118,163]./255)
fill([-.08,-.08,.1,.1],[-0.1,-0.15,-.2,-.15]-1.5,[192,15,45]./255,'EdgeColor',[192,15,45]./255)
plot([-.35,-.3,-.25,-.2,-.15,-.1,-.05,.1]+.02,...
[0,.02,.04,.06,.04,.02,0,.02]-1.82,'Color',[120,196,219]./255,'LineWidth',1.8)
plot([-.33,.05]+.02,[0,-.08]-1.82,'Color',[190,215,84]./255,'LineWidth',1.8)
plot([.05,-.2]+.02,[-.08,-.15]-1.82,'Color',[32,162,218]./255,'LineWidth',1.8)
plot([-.2,.05]+.02,[-.15,-.2]-1.82,'Color',[99,118,151]./255,'LineWidth',1.8)
% =========================================================================
% 椭圆数据计算函数,输入协方差矩阵、中心点、半径生成椭圆数据
function [X,Y]=getEllipse(Mu,Sigma,S,pntNum)
% (X-Mu)*inv(Sigma)*(X-Mu)=S
invSig=inv(Sigma);
[V,D]=eig(invSig);
aa=sqrt(S/D(1));
bb=sqrt(S/D(4));
t=linspace(0,2*pi,pntNum);
XY=V*[aa*cos(t);bb*sin(t)];
X=(XY(1,:)+Mu(1))';
Y=(XY(2,:)+Mu(2))';
end
end
function roseBall
clear;clc
%曲面数据计算
%==========================================================================
[x,t]=meshgrid((0:24)./24,(0:0.5:575)./575.*20.*pi+4*pi);
p=(pi/2)*exp(-t./(8*pi));
change=sin(15*t)/150;
u=1-(1-mod(3.6*t,2*pi)./pi).^4./2+change;
y=2*(x.^2-x).^2.*sin(p);
r=u.*(x.*sin(p)+y.*cos(p));
h=u.*(x.*cos(p)-y.*sin(p));
%颜色映射表
%==========================================================================
hMap=(h-min(min(h)))./(max(max(h))-min(min(h)));
col=size(hMap,2);
colorList=[0.0200 0.0400 0.3900
0 0.0900 0.5800
0 0.1300 0.6400
0.0200 0.0600 0.6900
0 0.0800 0.7900
0.0100 0.1800 0.8500
0 0.1300 0.9600
0.0100 0.2600 0.9900
0 0.3500 0.9900
0.0700 0.6200 1.0000
0.1700 0.6900 1.0000];
% colorList=[0.2100 0.0900 0.3800
% 0.2900 0.0700 0.4700
% 0.4000 0.1100 0.4900
% 0.5500 0.1600 0.5100
% 0.7500 0.2400 0.4700
% 0.8900 0.3200 0.4100
% 0.9700 0.4900 0.3700
% 1.0000 0.5600 0.4100
% 1.0000 0.6900 0.4900
% 1.0000 0.8200 0.5900
% 0.9900 0.9200 0.6700
% 0.9800 0.9500 0.7100];
colorFunc=colorFuncFactory(colorList);
dataMap=colorFunc(hMap');
colorMap(:,:,1)=dataMap(:,1:col);
colorMap(:,:,2)=dataMap(:,col+1:2*col);
colorMap(:,:,3)=dataMap(:,2*col+1:3*col);
function colorFunc=colorFuncFactory(colorList)
xx=(0:size(colorList,1)-1)./(size(colorList,1)-1);
y1=colorList(:,1);y2=colorList(:,2);y3=colorList(:,3);
colorFunc=@(X)[interp1(xx,y1,X,'linear')',interp1(xx,y2,X,'linear')',interp1(xx,y3,X,'linear')'];
end
%曲面旋转及绘制
%==========================================================================
surface(r.*cos(t),r.*sin(t),h+0.35,'EdgeAlpha',0.05,...
'EdgeColor',[0 0 0],'FaceColor','interp','CData',colorMap)
hold on
surface(r.*cos(t),r.*sin(t),-h-0.35,'EdgeAlpha',0.05,...
'EdgeColor',[0 0 0],'FaceColor','interp','CData',colorMap)
Xset=r.*cos(t);
Yset=r.*sin(t);
Zset=h+0.35;
yaw_z=pi*72/180;
roll_x=pi-acos(-1/sqrt(5));
R_z_2=[cos(yaw_z),-sin(yaw_z),0;
sin(yaw_z),cos(yaw_z),0;
0,0,1];
R_z_1=[cos(yaw_z/2),-sin(yaw_z/2),0;
sin(yaw_z/2),cos(yaw_z/2),0;
0,0,1];
R_x_2=[1,0,0;
0,cos(roll_x),-sin(roll_x);
0,sin(roll_x),cos(roll_x)];
[nX,nY,nZ]=rotateXYZ(Xset,Yset,Zset,R_x_2);
surface(nX,nY,nZ,'EdgeAlpha',0.05,...
'EdgeColor',[0 0 0],'FaceColor','interp','CData',colorMap)
for k=1:4
[nX,nY,nZ]=rotateXYZ(nX,nY,nZ,R_z_2);
surface(nX,nY,nZ,'EdgeAlpha',0.05,...
'EdgeColor',[0 0 0],'FaceColor','interp','CData',colorMap)
end
[nX,nY,nZ]=rotateXYZ(nX,nY,nZ,R_z_1);
for k=1:5
[nX,nY,nZ]=rotateXYZ(nX,nY,nZ,R_z_2);
surface(nX,nY,-nZ,'EdgeAlpha',0.05,...
'EdgeColor',[0 0 0],'FaceColor','interp','CData',colorMap)
end
%--------------------------------------------------------------------------
function [nX,nY,nZ]=rotateXYZ(X,Y,Z,R)
nX=zeros(size(X));
nY=zeros(size(Y));
nZ=zeros(size(Z));
for i=1:size(X,1)
for j=1:size(X,2)
v=[X(i,j);Y(i,j);Z(i,j)];
nv=R*v;
nX(i,j)=nv(1);
nY(i,j)=nv(2);
nZ(i,j)=nv(3);
end
end
end
%axes属性调整
%==========================================================================
ax=gca;
grid on
ax.GridLineStyle='--';
ax.LineWidth=1.2;
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=[-6.5914 -24.1625 -0.0384];
end