function roseBouquet
figure('Units','normalized','Position',[.2,.1,.6,.7])
%曲面数据计算 ==============================================================
% 玫瑰部分 -----------------------------------------------------------------
[xr,tr]=meshgrid((0:24)./24,(0:0.5:575)./575.*20.*pi+4*pi);
pr=(pi/2)*exp(-tr./(8*pi));
cr=sin(15*tr)/150;
ur=1-(1-mod(3.6*tr,2*pi)./pi).^4./2+cr;
yr=2*(xr.^2-xr).^2.*sin(pr);
rr=ur.*(xr.*sin(pr)+yr.*cos(pr));
hr=ur.*(xr.*cos(pr)-yr.*sin(pr));
% 百合花部分 ---------------------------------------------------------------
rb=0:.01:1;
tb=linspace(0,2,151);
wb=rb'*((abs((1-mod(tb*5,2))))/2+.3);
xb=wb.*cospi(tb);
yb=wb.*sinpi(tb);
zb=@(a)(-cospi(wb*a)+1).^.2;
Zb=zb(1.2);
g=@(i)i(:,1:30:151)/2;
%颜色映射表 ================================================================
colorList=[0.3300 0.3300 0.6900
0.5300 0.4000 0.6800
0.6800 0.4200 0.6300
0.7800 0.4200 0.5700
0.9100 0.4900 0.4700
0.9600 0.7300 0.4400];
% colorList=[0.9176 0.7490 0.3765
% 0.9294 0.7725 0.4902
% 0.9333 0.7451 0.5961
% 0.8902 0.6980 0.5294
% 0.8784 0.6941 0.6235
% 0.9216 0.7412 0.7529
% 0.8588 0.6039 0.7686
% 0.8510 0.4706 0.6392
% 0.7608 0.2118 0.3569];
colorMapr=setColorByH(hr,colorList);
colorMapb=setColorByH(Zb,colorList.*.4+.6);
function cMap=setColorByH(H,cList)
X=(H-min(min(H)))./(max(max(H))-min(min(H)));
xx=(0:size(cList,1)-1)./(size(cList,1)-1);
y1=cList(:,1);y2=cList(:,2);y3=cList(:,3);
cMap(:,:,1)=interp1(xx,y1,X,'linear');
cMap(:,:,2)=interp1(xx,y2,X,'linear');
cMap(:,:,3)=interp1(xx,y3,X,'linear');
end
% 旋转函数预定义 ===========================================================
yaw_z=72*pi/180;
roll_x_1=pi/8;
roll_x_2=pi/9;
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_z_3=[cos(yaw_z/3), -sin(yaw_z/3), 0; sin(yaw_z/3), cos(yaw_z/3), 0; 0, 0, 1];
R_x_1=[1, 0, 0; 0, cos(roll_x_1), -sin(roll_x_1); 0, sin(roll_x_1), cos(roll_x_1)];
R_x_2=[1, 0, 0; 0, cos(roll_x_2), -sin(roll_x_2); 0, sin(roll_x_2), cos(roll_x_2)];
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
% 绘制花杆函数预定义 ========================================================
function drawStraw(X,Y,Z)
[m,n]=find(Z==min(min(Z)));
m=m(1);n=n(1);
x1=X(m,n);y1=Y(m,n);z1=Z(m,n)+.03;
xx=[x1,0,(x1.*cos(pi/3)-y1.*sin(pi/3))./3].';
yy=[y1,0,(y1.*cos(pi/3)+x1.*sin(pi/3))./3].';
zz=[z1,-.7,-1.5].';
strawPnts=bezierCurve([xx,yy,zz],50);
plot3(strawPnts(:,1),strawPnts(:,2),strawPnts(:,3),'Color',[88,130,126]./255,'LineWidth',2)
end
% 贝塞尔函数 ---------------------------------------------------------------
function pnts=bezierCurve(pnts,N)
t=linspace(0,1,N);
p=size(pnts,1)-1;
coe1=factorial(p)./factorial(0:p)./factorial(p:-1:0);
coe2=((t).^((0:p)')).*((1-t).^((p:-1:0)'));
pnts=(pnts'*(coe1'.*coe2))';
end
%曲面旋转及绘制 ============================================================
hold on
surface(rr.*cos(tr),rr.*sin(tr),hr+0.35,'EdgeAlpha',0.05,...
'EdgeColor',[0 0 0],'FaceColor','interp','CData',colorMapr,'Tag','slandarer')
[nXr,nYr,nZr]=rotateXYZ(rr.*cos(tr),rr.*sin(tr),hr+0.35,R_x_1);
nYr=nYr-.4;
surface(nXr,nYr,nZr-.1,'EdgeAlpha',0.05,...
'EdgeColor',[0 0 0],'FaceColor','interp','CData',colorMapr)
drawStraw(nXr,nYr,nZr-.1)
for k=1:4
[nXr,nYr,nZr]=rotateXYZ(nXr,nYr,nZr,R_z_2);
surface(nXr,nYr,nZr-.1,'EdgeAlpha',0.05,...
'EdgeColor',[0 0 0],'FaceColor','interp','CData',colorMapr)
drawStraw(nXr,nYr,nZr-.1)
end
% -------------------------------------------------------------------------
[nXb,nYb,nZb]=rotateXYZ(xb./2.5,yb./2.5,Zb./2.5+.32,R_x_2);
nYb=nYb-1.35;
for k=1:5
[nXb,nYb,nZb]=rotateXYZ(nXb,nYb,nZb,R_z_2);
surface(nXb,nYb,nZb,'EdgeColor','none','FaceColor','interp','CData',colorMapb)
drawStraw(nXb,nYb,nZb)
end
[nXb,nYb,nZb]=rotateXYZ(xb./2.5,yb./2.5,Zb./2.5+.32,R_x_2);
nYb=nYb-1.15;
[nXb,nYb,nZb]=rotateXYZ(nXb,nYb,nZb,R_z_1);
for k=1:5
[nXb,nYb,nZb]=rotateXYZ(nXb,nYb,nZb,R_z_2);
surface(nXb,nYb,nZb,'EdgeColor','none','FaceColor','interp','CData',colorMapb)
drawStraw(nXb,nYb,nZb)
end
[nXb,nYb,nZb]=rotateXYZ(xb./2.5,yb./2.5,Zb./2.5+.32,R_x_2);
nYb=nYb-1.25;
[nXb,nYb,nZb]=rotateXYZ(nXb,nYb,nZb,R_z_3);
for k=1:5
[nXb,nYb,nZb]=rotateXYZ(nXb,nYb,nZb,R_z_2);
surface(nXb,nYb,nZb,'EdgeColor','none','FaceColor','interp','CData',colorMapb)
drawStraw(nXb,nYb,nZb)
end
[nXb,nYb,nZb]=rotateXYZ(xb./2.5,yb./2.5,Zb./2.5+.32,R_x_2);
nYb=nYb-1.25;
[nXb,nYb,nZb]=rotateXYZ(nXb,nYb,nZb,R_z_3);
[nXb,nYb,nZb]=rotateXYZ(nXb,nYb,nZb,R_z_3);
for k=1:5
[nXb,nYb,nZb]=rotateXYZ(nXb,nYb,nZb,R_z_2);
surface(nXb,nYb,nZb,'EdgeColor','none','FaceColor','interp','CData',colorMapb)
drawStraw(nXb,nYb,nZb)
end
%axes属性调整 ==============================================================
ax=gca;
ax.Position=[0,0,1,1];
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';
view(-15,35);
end
