一、总结
一句话总结：
曲线平滑的原理非常简单，将每一个点的值变为 上一个节点*0.8+当前节点*0.2
# 平滑函数的作用是将每一个点的值变为 上一个节点*0.8+当前节点*0.2
def smooth_curve(points, factor=0.8):
smoothed_points = []
for point in points:
if smoothed_points:
previous = smoothed_points[-1]
# 上一个节点*0.8+当前节点*0.2
smoothed_points.append(previous * factor + point * (1 - factor))
else:
# 添加point
smoothed_points.append(point)
return smoothed_points
二、将曲线平滑
import numpy as np
import matplotlib.pyplot as plt
In [2]:
x = np.linspace(1,4,80)
y=[]
for i in range(80):
y.append(i+3*(-1)**i)
print(x)
print(y)
plt.plot(x, y, 'r-')
plt.show()
[1. 1.03797468 1.07594937 1.11392405 1.15189873 1.18987342
1.2278481 1.26582278 1.30379747 1.34177215 1.37974684 1.41772152
1.4556962 1.49367089 1.53164557 1.56962025 1.60759494 1.64556962
1.6835443 1.72151899 1.75949367 1.79746835 1.83544304 1.87341772
1.91139241 1.94936709 1.98734177 2.02531646 2.06329114 2.10126582
2.13924051 2.17721519 2.21518987 2.25316456 2.29113924 2.32911392
2.36708861 2.40506329 2.44303797 2.48101266 2.51898734 2.55696203
2.59493671 2.63291139 2.67088608 2.70886076 2.74683544 2.78481013
2.82278481 2.86075949 2.89873418 2.93670886 2.97468354 3.01265823
3.05063291 3.08860759 3.12658228 3.16455696 3.20253165 3.24050633
3.27848101 3.3164557 3.35443038 3.39240506 3.43037975 3.46835443
3.50632911 3.5443038 3.58227848 3.62025316 3.65822785 3.69620253
3.73417722 3.7721519 3.81012658 3.84810127 3.88607595 3.92405063
3.96202532 4. ]
[3, -2, 5, 0, 7, 2, 9, 4, 11, 6, 13, 8, 15, 10, 17, 12, 19, 14, 21, 16, 23, 18, 25, 20, 27, 22, 29, 24, 31, 26, 33, 28, 35, 30, 37, 32, 39, 34, 41, 36, 43, 38, 45, 40, 47, 42, 49, 44, 51, 46, 53, 48, 55, 50, 57, 52, 59, 54, 61, 56, 63, 58, 65, 60, 67, 62, 69, 64, 71, 66, 73, 68, 75, 70, 77, 72, 79, 74, 81, 76]
平滑曲线函数
In [3]:
# 平滑函数的作用是将每一个点的值变为 上一个节点*0.8+当前节点*0.2
def smooth_curve(points, factor=0.8):
smoothed_points = []
for point in points:
if smoothed_points:
previous = smoothed_points[-1]
# 上一个节点*0.8+当前节点*0.2
smoothed_points.append(previous * factor + point * (1 - factor))
else:
# 添加point
smoothed_points.append(point)
return smoothed_points
In [4]:
print(smooth_curve(y))
[3, 2.0000000000000004, 2.6000000000000005, 2.0800000000000005, 3.064, 2.8512, 4.080959999999999, 4.064767999999999, 5.451814399999998, 5.5614515199999985, 7.049161215999999, 7.239328972799999, 8.791463178239999, 9.033170542592, 10.6265364340736, 10.901229147258881, 12.520983317807104, 12.816786654245684, 14.453429323396547, 14.762743458717237, 16.410194766973788, 16.72815581357903, 18.382524650863225, 18.70601972069058, 20.36481577655246, 20.691852621241967, 22.353482096993574, 22.682785677594858, 24.346228542075885, 24.67698283366071, 26.341586266928566, 26.673269013542853, 28.338615210834284, 28.67089216866743, 30.336713734933944, 30.669370987947154, 32.33549679035772, 32.66839743228618, 34.33471794582894, 34.66777435666315, 36.33421948533052, 36.66737558826442, 38.33390047061154, 38.66712037648923, 40.33369630119138, 40.66695704095311, 42.333565632762486, 42.666852506209985, 44.33348200496798, 44.66678560397438, 46.3334284831795, 46.66674278654361, 48.33339422923489, 48.66671538338792, 50.33337230671034, 50.66669784536827, 52.33335827629462, 52.666686621035694, 54.33334929682855, 54.66667943746284, 56.333343549970266, 56.66667483997621, 58.33333987198097, 58.66667189758478, 60.33333751806782, 60.66667001445426, 62.33333601156341, 62.66666880925073, 64.33333504740058, 64.66666803792047, 66.33333443033638, 66.6666675442691, 68.33333403541528, 68.66666722833222, 70.33333378266578, 70.66666702613261, 72.33333362090609, 72.66666689672488, 74.3333335173799, 74.66666681390392]
In [5]:
plt.plot(x, smooth_curve(y), 'r-')
plt.show()
我们可以看到，使用平滑函数之后，曲线就变的比较平滑了
In [ ]:
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