请给出python计算stl三维颗粒模型的圆度球形度内径比矩形度棱角性等效Feret长短轴比等效椭圆长短轴比等效Feret椭圆周长比外接矩形长短轴比形状因子凸度卡尺比凸包比的代码

以下是使用Python计算stl三维颗粒模型各种形状参数的代码示例：

import numpy as np
from scipy.spatial import ConvexHull

def calculate_roundness(volume, surface_area):
    return (36 * np.pi * volume ** 2) ** (1/3) / surface_area

def calculate_sphericity(volume, surface_area):
    return (np.pi**(1/3) * 6**(2/3) * volume**(2/3)) / surface_area

def calculate_inner_diameter_ratio(volume, surface_area):
    return (6 * volume) ** (1/3) / surface_area

def calculate_rectangularity(volume, surface_area):
    return (volume ** (1/3)) / (surface_area ** (2/3))

def calculate_edge_angle_ratio(surface_area, perimeter):
    return surface_area / (perimeter ** 2)

def calculate_feret_aspect_ratio(points):
    min_x, min_y, min_z = np.min(points, axis=0)
    max_x, max_y, max_z = np.max(points, axis=0)
    return np.sqrt((max_x - min_x)**2 + (max_y - min_y)**2 + (max_z - min_z)**2) / max(max_x - min_x, max_y - min_y, max_z - min_z)

def calculate_ellipse_aspect_ratio(points):
    min_x, min_y, min_z = np.min(points, axis=0)
    max_x, max_y, max_z = np.max(points, axis=0)
    return np.sqrt((max_x - min_x)**2 + (max_y - min_y)**2) / max(max_x - min_x, max_y - min_y)

def calculate_feret_ellipse_circumference_ratio(points):
    min_x, min_y, min_z = np.min(points, axis=0)
    max_x, max_y, max_z = np.max(points, axis=0)
    return np.sqrt((max_x - min_x)**2 + (max_y - min_y)**2 + (max_z - min_z)**2) / (2 * (max(max_x - min_x, max_y - min_y) + 2 * np.sqrt(2) * np.abs(max_z - min_z)))

def calculate_bounding_rectangle_aspect_ratio(points):
    min_x, min_y, min_z = np.min(points, axis=0)
    max_x, max_y, max_z = np.max(points, axis=0)
    return np.sqrt((max_x - min_x)**2 + (max_y - min_y)**2) / (max(max_x - min_x, max_y - min_y))

def calculate_shape_factor(surface_area, volume):
    return (36 * np.pi * volume) / (surface_area ** 2)

def calculate_convexity(volume, convex_hull_volume):
    return volume / convex_hull_volume

def calculate_caliper_ratio(points):
    min_x, min_y, min_z = np.min(points, axis=0)
    max_x, max_y, max_z = np.max(points, axis=0)
    return max(max_x - min_x, max_y - min_y, max_z - min_z) / min(max_x - min_x, max_y - min_y, max_z - min_z)

def calculate_convex_hull_ratio(points):
    hull = ConvexHull(points)
    hull_volume = hull.volume
    min_x, min_y, min_z = np.min(points, axis=0)
    max_x, max_y, max_z = np.max(points, axis=0)
    cuboid_volume = (max_x - min_x) * (max_y - min_y) * (max_z - min_z)
    return cuboid_volume / hull_volume

这些函数中，volume表示颗粒模型的体积，surface_area表示颗粒模型的表面积，points表示颗粒模型的顶点坐标数组。

使用上述函数，可以计算出颗粒模型的圆度，球形度，内径比，矩形度，棱角性，等效Feret长短轴比，等效椭圆长短轴比，等效Feret椭圆周长比，外接矩形长短轴比，形状因子，凸度，卡尺比，凸包比等形状参数