Open3D mesh 均值滤波

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一、函数解析

Open3d包含许多网格滤波的算法，最简单的是均值滤波。一个顶点

v

i

v_i

vi​的值是通过相邻顶点的平均值给出的。公式如下：
                 

v

i

=

v

i

+

∑

n

=

1

N

V

n

∣

N

∣

+

1

v_i=\frac{v_i+\sum_{n=1}^{N} V_n}{|N|+1}

vi​=∣N∣+1vi​+∑n=1N​Vn​​
如下面代码所示，该滤波器能用以网格去噪。filter_smooth_simple函数的参数number_of_iterations用来定义应用于网格的滤波器的频率。

二、完整代码

import open3d as o3d
import numpy as np

class o3dtut:
    def get_knot_mesh():
        mesh = o3d.io.read_triangle_mesh("knot.ply")
        mesh.compute_vertex_normals()
        return mesh

mesh_in = o3dtut.get_knot_mesh()
vertices = np.asarray(mesh_in.vertices)
noise = 5
vertices += np.random.uniform(0, noise, size=vertices.shape)
mesh_in.vertices = o3d.utility.Vector3dVector(vertices)
mesh_in.compute_vertex_normals()
o3d.visualization.draw_geometries([mesh_in],width=800,height=800)

print('filter with average with 1 iteration')
mesh_out = mesh_in.filter_smooth_simple(number_of_iterations=1)
mesh_out.compute_vertex_normals()
o3d.visualization.draw_geometries([mesh_out],width=800,height=800)

print('filter with average with 5 iterations')
mesh_out = mesh_in.filter_smooth_simple(number_of_iterations=5)
mesh_out.compute_vertex_normals()
o3d.visualization.draw_geometries([mesh_out],width=800,height=800)

三、结果展示

一次滤波迭代之后

五次迭代后

本文地址：https://blog.csdn.net/qq_36686437/article/details/110421201