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MATLAB 版本代码 function roseBouquet_M()
% author : slandarer% 生成花朵数据
[xr,tr]meshgrid((0:24).…hey 母亲节快到了教大家用python和MATLAB两种语言绘制花束~这段代码是我七夕节发的我对代码进行了简化同时自己整了个python版本
MATLAB 版本代码 function roseBouquet_M()
% author : slandarer% 生成花朵数据
[xr,tr]meshgrid((0:24)./24,(0:0.5:575)./575.*20.*pi4*pi);
p(pi/2)*exp(-tr./(8*pi));
ur1-(1-mod(3.6*tr,2*pi)./pi).^4./2sin(15*tr)/150;
yr2*(xr.^2-xr).^2.*sin(p);
rrur.*(xr.*sin(p)yr.*cos(p));
hrur.*(xr.*cos(p)-yr.*sin(p));tblinspace(0,2,151);
rb(0:.01:1)*((abs((1-mod(tb*5,2))))/2.3)./2.5;
xbrb.*cos(tb*pi);
ybrb.*sin(tb*pi);
hb(-cos(rb*1.2*pi)1).^.2;% 配色数据
cL[.33 .33 .69;.68 .42 .63;.78 .42 .57;.96 .73 .44];
% cL[.02 .04 .39;.02 .06 .69;.01 .26 .99;.17 .69 1];
cMrsH(hr,cL);
cMbsH(hb,cL.*.4.6);
% 旋转矩阵生成
yz72*pi/180;
Rz(n)[cos(yz/n),-sin(yz/n),0;sin(yz/n),cos(yz/n),0;0,0,1];
Rx(n)[1,0,0;0,cos(n),-sin(n);0,sin(n),cos(n)];
Rz1Rz(1);Rz2Rz(2);Rz3Rz(3);
Rx1Rx(pi/8);Rx2Rx(pi/9);
% 图形绘制
hold on
cp{EdgeAlpha,0.05,EdgeColor,none,FaceColor,interp,CData,cMr};
surface(rr.*cos(tr),rr.*sin(tr),hr0.35,cp{:})
[U,V,W]rT(rr.*cos(tr),rr.*sin(tr),hr0.35,Rx1);
VV-.4;
for k1:5[U,V,W]rT(U,V,W,Rz1);surface(U,V,W-.1,cp{:})dS(U,V,W-.1)
end
[u1,v1,w1]rT(xb,yb,hb./2.5.32,Rx2);
v1v1-1.35;
[u2,v2,w2]rT(u1,v1,w1,Rz2);
[u3,v3,w3]rT(u1,v1,w1,Rz3);
[u4,v4,w4]rT(u3,v3,w3,Rz3);
U{u1,u2,u3,u4};
V{v1,v2,v3,v4};
W{w1,w2,w3,w4};
for k1:5for b1:4[ut,vt,wt]rT(U{b},V{b},W{b},Rz1);U{b}ut;V{b}vt;W{b}wt;surface(U{b},V{b},W{b},cp{3:7},cMb)dS(U{b},V{b},W{b})end
end
agca;axis off
a.Position[0,0,1,1][-1,-1,2,2]./6;
axis equal
view(2,35);% 配色插值函数function csH(H,cL)Xrescale(H,0,1);xrescale(1:size(cL,1),0,1);cinterp1(x,cL,X);end% 旋转矩阵应用至数据点function [U,V,W]rT(X,Y,Z,R)UX;VY;WZ;for i1:numel(X)v[X(i);Y(i);Z(i)];nR*v;U(i)n(1);V(i)n(2);W(i)n(3);endend% 贝塞尔函数插值生成花杆并绘制function dS(X,Y,Z)[m,n]find(Zmin(min(Z)));mm(1);nn(1);x1X(m,n);y1Y(m,n);z1Z(m,n).03;x[x1,0,(x1.*cos(pi/3)-y1.*sin(pi/3))./3].;y[y1,0,(y1.*cos(pi/3)x1.*sin(pi/3))./3].;z[z1,-.7,-1.5].;P[x,y,z];t(1:50)/50;qsize(P,1)-1;c1factorial(q)./factorial(0:q)./factorial(q:-1:0);c2((t).^((0:q))).*((1-t).^((q:-1:0)));P(P*(c1.*c2));plot3(P(:,1),P(:,2),P(:,3),Color,[88,130,126]./255,LineWidth,1)end
endpython 版本代码 需要安装以下库
matplotlibnumpyscipy
import matplotlib.pyplot as plt
import numpy as np
from matplotlib.colors import LinearSegmentedColormap as lsc
from scipy.spatial.transform import Rotation as R
# author : slandarer# 生成花朵数据
t1 np.array(range(25))/24
t2 np.arange(0, 575.5, 0.5)/575*20*np.pi 4*np.pi
[xr, tr] np.meshgrid(t1, t2)
pr (np.pi/2)*np.exp(-tr/(8*np.pi))
ur 1 - (1 - np.mod(3.6*tr, 2*np.pi)/np.pi)**4/2 np.sin(15*tr)/150 np.sin(15*tr)/150
yr 2*(xr**2 - xr)**2*np.sin(pr)
rr ur*(xr*np.sin(pr) yr*np.cos(pr))
hr ur*(xr*np.cos(pr) - yr*np.sin(pr))tb np.resize(np.linspace(0, 2, 151), (1,151))
rb np.resize(np.linspace(0, 1, 101), (101,1)) ((abs((1-np.mod(tb*5,2))))/2 .3)/2.5
xb rb*np.cos(tb*np.pi)
yb rb*np.sin(tb*np.pi)
hb np.power(-np.cos(rb*1.2*np.pi)1, .2)cL np.array([[.33,.33,.69], [.68,.42,.63], [.78,.42,.57], [.96,.73,.44]])
cL np.array([[.02,.04,.39], [.02,.06,.69], [.01,.26,.99], [.17,.69,1]])
cMpr lsc.from_list(slandarer, cL)
cMpb lsc.from_list(slandarer, cL*.4 .6)# 绕轴旋转数据点
def rT(X, Y, Z, T):SZ X.shapeXYZ np.hstack((X.reshape(-1, 1), Y.reshape(-1, 1), Z.reshape(-1, 1)))RMat R.from_euler(xyz, T, degrees True); XYZ RMat.apply(XYZ)return XYZ[:,0].reshape(SZ), XYZ[:,1].reshape(SZ), XYZ[:,2].reshape(SZ)# 贝塞尔函数插值生成花杆并绘制
def dS(X, Y, Z):MN np.where(Z np.min(Z)); M MN[0][0]; N MN[1][0]x1 X[M, N]; y1 Y[M, N]; z1 Z[M, N] .03x np.array([x1, 0, (x1*np.cos(np.pi/3) - y1*np.sin(np.pi/3))/3]).reshape((3,1))y np.array([y1, 0, (y1*np.cos(np.pi/3) x1*np.sin(np.pi/3))/3]).reshape((3,1))z np.array([z1, -.7, -1.5]).reshape((3,1))P np.hstack((x,y,z)).Tt (np.array(range(50)) 1)/50c1 np.array([1, 2, 1]).reshape(3,1)c2 np.power(t, np.array(range(3)).reshape(3,1))c3 np.power(1 - t, np.array(range(2, -1, -1)).reshape(3,1))P (P (c1*c2*c3))ax.plot(P[0], P[1], P[2], color #58827E)# 创建figure窗口及axis坐标区域
fig plt.figure()
ax fig.add_subplot(111, projection3d)
# 绘制花束
ax.plot_surface(rr*np.cos(tr), rr*np.sin(tr), hr .35, rstride 1, cstride 1,facecolors cMpr(hr), antialiased True, shade False)
U, V, W rT(rr*np.cos(tr), rr*np.sin(tr), hr .35, [180/8, 0, 0]); V V - .4
for i in range(5):U, V, W rT(U, V, W, [0, 0, 72])ax.plot_surface(U, V, W - .1, rstride 1, cstride 1,facecolors cMpr(hr), antialiased True, shade False)dS(U, V, W - .1)u1, v1, w1rT(xb, yb, hb/2.5 .32, [180/9, 0, 0])
v1 v1 - 1.35
u2, v2, w2 rT(u1, v1, w1, [0, 0, 36])
u3, v3, w3 rT(u1, v1, w1, [0, 0, 24])
u4, v4, w4 rT(u3, v3, w3, [0, 0, 24])
for i in range(5):u1, v1, w1 rT(u1, v1, w1, [0, 0, 72])u2, v2, w2 rT(u2, v2, w2, [0, 0, 72])u3, v3, w3 rT(u3, v3, w3, [0, 0, 72])u4, v4, w4 rT(u4, v4, w4, [0, 0, 72])ax.plot_surface(u1, v1, w1, rstride 1, cstride 1,facecolors cMpb(hb), antialiased True, shade False)ax.plot_surface(u2, v2, w2, rstride 1, cstride 1,facecolors cMpb(hb), antialiased True, shade False)ax.plot_surface(u3, v3, w3, rstride 1, cstride 1,facecolors cMpb(hb), antialiased True, shade False)ax.plot_surface(u4, v4, w4, rstride 1, cstride 1,facecolors cMpb(hb), antialiased True, shade False)dS(u1, v1, w1)dS(u2, v2, w2)dS(u3, v3, w3)dS(u4, v4, w4)ax.set_position((-.215, -.3, 1.43, 1.43))
ax.set_box_aspect((1, 1, .8))
ax.view_init(elev 50, azim 2)
ax.axis(off)
plt.show()有一种爱不求回报有一种情无私奉献这就是母爱。 在这里预祝全天下各位母亲健康平安自信美丽母亲节快乐
