曲率用来描述一段曲线像一个圆的程度，曲率的倒数就是曲率半径

曲率半径越大，曲率越小，说明曲线越平滑曲率半径越小，曲率越大，说明曲线越弯

曲率半径的百度百科网址：/item/%E6%9B%B2%E7%8E%87%E5%8D%8A%E5%BE%84/2036643?fr=aladdin

计算曲率的主要方法如下：

def calculate_curvature(x_value: np.ndarray, y_value: np.ndarray):"""计算曲率"""x_t = np.gradient(x_value)y_t = np.gradient(y_value)xx_t = np.gradient(x_t)yy_t = np.gradient(y_t)curvature_val = np.abs(xx_t * y_t - x_t * yy_t) / (x_t * x_t + y_t * y_t) ** 1.5return curvature_val

示例

import numpy as npdef calculate_curvature(x_value: np.ndarray, y_value: np.ndarray):"""计算曲率"""x_t = np.gradient(x_value)y_t = np.gradient(y_value)xx_t = np.gradient(x_t)yy_t = np.gradient(y_t)curvature_val = np.abs(xx_t * y_t - x_t * yy_t) / (x_t * x_t + y_t * y_t) ** 1.5return curvature_valif __name__ == '__main__':array = np.random.randint(0, 20, size=(2, 50))x = array[0]y = array[1]cur = calculate_curvature(x, y)print(cur)