在多边形内找到轴对齐的矩形

import shapely.geometry as sg

# 定义多边形的顶点
polygon_vertices = [(0, 0), (0, 10), (5, 15), (10, 10), (10, 0)]

# 创建多边形和包围矩形
polygon = sg.Polygon(polygon_vertices)
min_rect = polygon.minimum_rotated_rectangle

# 计算包围矩形的边和角度
min_rect_vertices = list(min_rect.exterior.coords)
min_rect_edges = [(min_rect_vertices[i], min_rect_vertices[(i+1)%len(min_rect_vertices)]) for i in range(len(min_rect_vertices))]
min_rect_angle = min_rect.angle

# 计算包围矩形的交点
intersection_points = []
for edge in min_rect_edges:
    for polygon_edge in polygon_edges:
        intersection = sg.intersection(sg.LineString(edge), sg.LineString(polygon_edge))
        if not intersection.is_empty:
            intersection_points.append(intersection.xy[0][0], intersection.xy[1][0])

# 计算轴对齐矩形的边长
# ...