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Python图形复刻——绘制母亲节花束

各位小伙伴,好久不见,今天学习用Python绘制花束。

有一种爱,不求回报,有一种情,无私奉献,这就是母爱。祝天下妈妈节日快乐,幸福永远!

图形展示:

代码展示:

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.shape

XYZ = 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] + .03

x = 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)).T

t = (np.array(range(50)) + 1)/50

c1 = 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 = '#800080')

# 创建figure窗口及axis坐标区域

fig = plt.figure()

ax = fig.add_subplot(111, projection='3d')

# 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, w1=rT(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()

参考文献:

作者slandarer

网址:https://mp.weixin.qq.com/s/a3QukoBQhoK46aY8ZinBrQ

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