Manim Scipy 插值不平滑

Question

我正在尝试通过使用 SciPy 插值点来创建平滑的 Manim 曲线。谁能给我解释一下为什么这个 Manim 曲线会呈现锯齿状？

我尝试使用 ValueTracker 迭代 SciPy 生成的平滑曲线的索引。然而，结果并不顺利。

enter image description here

当我用 matplotlib 绘图时它很流畅：

enter image description here

import numpy as np
from manim import *
from scipy import interpolate
from scipy.interpolate import interp1d


def generate_random_curves(n):
    x = np.array([0, 0.2, 0.4, 0.8, 0.7, 0.2, 0.0])
    y = np.array([0, 0.1, 0.2, 0.9, 1, 0.25, 0])
    curves = []
    for i in range(n):
        rnd_x = np.random.uniform(-0.1, 0.1, 7)
        rnd_y = np.random.uniform(-0.1, 0.1, 7)
        rnd_x[0] = 0
        rnd_y[0] = 0
        rnd_x[-1] = 0
        rnd_y[-1] = 0

        perterb_x = x + rnd_x
        perterb_y = y + rnd_y

        curves.append([perterb_x, perterb_y])

    return curves


class Intro(Scene):
    def construct(self):
        ax = Axes(
            x_range=[0, 1, 10], y_range=[0, 1, 10], axis_config={"include_tip": False}
        )
        labels = ax.get_axis_labels(x_label="d", y_label="a")

        t = ValueTracker(0)

        tx, ty = generate_random_curves(1)[0]
        tck, u = interpolate.splprep([tx, ty], s=0)

        eval_pts = np.linspace(0, 1, 1000)

        smooth_tx,smooth_ty = interpolate.splev(eval_pts, tck)

        initial_point = [ax.coords_to_point(t.get_value(), interpolate.splev(t.get_value(), tck)[1])]
        dot = Dot(point=initial_point)

        path = VMobject()
        path.set_points_as_corners([dot.get_center(), dot.get_center()])

        def update_path(path):
            previous_path = path.copy()
            previous_path.add_points_as_corners([dot.get_center()])
            path.become(previous_path)

        path.add_updater(update_path)
        dot.add_updater(lambda x: x.move_to(ax.c2p(smooth_tx[int(t.get_value())],
                                                   smooth_ty[int(t.get_value())])))



        self.add(ax, labels, dot, path)
        self.wait()
        self.play(t.animate.set_value(999))
        self.wait(10)

Answer 1

运行时间增加得越多，曲线看起来就越平滑：

那是因为当您以 15 fps 的速度渲染时，更新程序将总共使用 15 个点进行插值。

Manim Scipy 插值不平滑

Manim Scipy Interpolation is not smooth

python

manim