【Manim】使用manim画一个高斯分布的动画

1 Manim例子一

最近接触到manim，觉得挺有趣的，来玩一玩把。如下是一个使用manim画的高斯分布的动画。

from manim import *
import numpy as npclass GaussianDistribution(Scene):def construct(self):# 创建坐标系axes = Axes(x_range=[-4, 4, 1],y_range=[0, 0.5, 0.1],axis_config={"color": BLUE},)# 添加坐标轴标签labels = axes.get_axis_labels(x_label=MathTex("x"),y_label=MathTex("P(x)"))# 定义高斯分布函数def gaussian(x, mu=0, sigma=1):return (1 / (sigma * np.sqrt(2 * np.pi))) * np.exp(-0.5 * ((x - mu) / sigma) ** 2)# 创建高斯分布曲线gaussian_curve = axes.plot(lambda x: gaussian(x),color=YELLOW,x_range=[-4, 4])# 创建曲线方程标签equation = MathTex("P(x) = \\frac{1}{\\sigma\\sqrt{2\\pi}} e^{-\\frac{(x-\\mu)^2}{2\\sigma^2}}",color=YELLOW).scale(0.8).to_edge(UP)# 添加动画self.play(Create(axes), Write(labels))self.play(Write(equation))self.play(Create(gaussian_curve), run_time=2)# 添加说明文字description = Text("高斯分布（正态分布）：μ=0, σ=1",font="SimSun").scale(0.5).to_edge(DOWN)self.play(Write(description))# 添加动态效果：显示不同参数的高斯分布sigma_values = [0.5, 1, 2]colors = [RED, YELLOW, GREEN]for sigma, color in zip(sigma_values, colors):new_curve = axes.plot(lambda x: gaussian(x, sigma=sigma),color=color,x_range=[-4, 4])new_description = Text(f"高斯分布：μ=0, σ={sigma}",font="SimSun").scale(0.5).to_edge(DOWN)self.play(Transform(gaussian_curve, new_curve),Transform(description, new_description),run_time=1.5)self.wait(0.5)self.wait(2)if __name__ == "__main__":with tempconfig({"preview": True,"quality": "medium_quality","format": "mp4"}):scene = GaussianDistribution()scene.render()``````bash
2动画效果

2 动画效果