File: triangle_mesh_properties.py

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# ----------------------------------------------------------------------------
# -                        Open3D: www.open3d.org                            -
# ----------------------------------------------------------------------------
# The MIT License (MIT)
#
# Copyright (c) 2018-2021 www.open3d.org
#
# Permission is hereby granted, free of charge, to any person obtaining a copy
# of this software and associated documentation files (the "Software"), to deal
# in the Software without restriction, including without limitation the rights
# to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
# copies of the Software, and to permit persons to whom the Software is
# furnished to do so, subject to the following conditions:
#
# The above copyright notice and this permission notice shall be included in
# all copies or substantial portions of the Software.
#
# THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
# IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
# FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
# AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
# LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
# FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS
# IN THE SOFTWARE.
# ----------------------------------------------------------------------------

import open3d as o3d
import numpy as np
import os
import sys

pyexample_path = os.path.dirname(os.path.dirname(os.path.abspath(__file__)))
sys.path.append(pyexample_path)

import open3d_example as o3dex


def check_properties(name, mesh):
    mesh.compute_vertex_normals()

    edge_manifold = mesh.is_edge_manifold(allow_boundary_edges=True)
    edge_manifold_boundary = mesh.is_edge_manifold(allow_boundary_edges=False)
    vertex_manifold = mesh.is_vertex_manifold()
    self_intersecting = mesh.is_self_intersecting()
    watertight = mesh.is_watertight()
    orientable = mesh.is_orientable()

    print(name)
    print(f"  edge_manifold:          {edge_manifold}")
    print(f"  edge_manifold_boundary: {edge_manifold_boundary}")
    print(f"  vertex_manifold:        {vertex_manifold}")
    print(f"  self_intersecting:      {self_intersecting}")
    print(f"  watertight:             {watertight}")
    print(f"  orientable:             {orientable}")

    geoms = [mesh]
    if not edge_manifold:
        edges = mesh.get_non_manifold_edges(allow_boundary_edges=True)
        geoms.append(o3dex.edges_to_lineset(mesh, edges, (1, 0, 0)))
    if not edge_manifold_boundary:
        edges = mesh.get_non_manifold_edges(allow_boundary_edges=False)
        geoms.append(o3dex.edges_to_lineset(mesh, edges, (0, 1, 0)))
    if not vertex_manifold:
        verts = np.asarray(mesh.get_non_manifold_vertices())
        pcl = o3d.geometry.PointCloud(
            points=o3d.utility.Vector3dVector(np.asarray(mesh.vertices)[verts]))
        pcl.paint_uniform_color((0, 0, 1))
        geoms.append(pcl)
    if self_intersecting:
        intersecting_triangles = np.asarray(
            mesh.get_self_intersecting_triangles())
        intersecting_triangles = intersecting_triangles[0:1]
        intersecting_triangles = np.unique(intersecting_triangles)
        print("  # visualize self-intersecting triangles")
        triangles = np.asarray(mesh.triangles)[intersecting_triangles]
        edges = [
            np.vstack((triangles[:, i], triangles[:, j]))
            for i, j in [(0, 1), (1, 2), (2, 0)]
        ]
        edges = np.hstack(edges).T
        edges = o3d.utility.Vector2iVector(edges)
        geoms.append(o3dex.edges_to_lineset(mesh, edges, (1, 0, 1)))
    o3d.visualization.draw_geometries(geoms, mesh_show_back_face=True)


if __name__ == "__main__":
    knot_mesh = o3d.data.KnotMesh()
    mesh = o3d.io.read_triangle_mesh(knot_mesh.path)
    check_properties('KnotMesh', mesh)
    check_properties('Mobius',
                     o3d.geometry.TriangleMesh.create_mobius(twists=1))
    check_properties("non-manifold edge", o3dex.get_non_manifold_edge_mesh())
    check_properties("non-manifold vertex",
                     o3dex.get_non_manifold_vertex_mesh())
    check_properties("open box", o3dex.get_open_box_mesh())
    check_properties("intersecting_boxes", o3dex.get_intersecting_boxes_mesh())