LSM直线检测算法python实现

以下是LSM直线检测算法的Python实现：

import numpy as np

def LSM_line_detection(points):
    '''
    输入：点集，格式为[x1, y1], [x2, y2], ...
    输出：拟合直线的参数k和b，直线方程为y = kx + b
    '''
    # 转换点集为矩阵形式
    points = np.array(points)
    x = points[:, 0]
    y = points[:, 1]

    # 计算参数k和b
    n = len(points)
    x_mean = np.mean(x)
    y_mean = np.mean(y)
    xy_mean = np.mean(x * y)
    x_square_mean = np.mean(x ** 2)
    k = (xy_mean - x_mean * y_mean) / (x_square_mean - x_mean ** 2)
    b = y_mean - k * x_mean

    return k, b

使用方法：

points = [[1, 2], [3, 4], [5, 6], [7, 8]]
k, b = LSM_line_detection(points)
print("直线方程为：y = {}x + {}".format(k, b))

输出结果：

直线方程为：y = 1.0x + 1.0