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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 open3d.core as o3c
import numpy as np
import pytest
import pickle
import tempfile
import sys
import os
sys.path.append(os.path.dirname(os.path.realpath(__file__)) + "/../..")
from open3d_test import list_devices
def test_clip_plane():
cube = o3d.t.geometry.TriangleMesh.from_legacy(
o3d.geometry.TriangleMesh.create_box())
clipped_cube = cube.clip_plane(point=[0.5, 0, 0], normal=[1, 0, 0])
assert clipped_cube.vertex.positions.shape == (12, 3)
assert clipped_cube.triangle.indices.shape == (14, 3)
def test_slice_plane():
box = o3d.t.geometry.TriangleMesh.create_box()
slices = box.slice_plane([0, 0.5, 0], [1, 1, 1], [-0.1, 0, 0.1])
assert slices.point.positions.shape == (9, 3)
assert slices.line.indices.shape == (9, 2)
@pytest.mark.parametrize("device", list_devices())
def test_create_box(device):
# Test with default parameters.
box_default = o3d.t.geometry.TriangleMesh.create_box(device=device)
vertex_positions_default = o3c.Tensor(
[[0.0, 0.0, 0.0], [1.0, 0.0, 0.0], [0.0, 0.0, 1.0], [1.0, 0.0, 1.0],
[0.0, 1.0, 0.0], [1.0, 1.0, 0.0], [0.0, 1.0, 1.0], [1.0, 1.0, 1.0]],
o3c.float32, device)
triangle_indices_default = o3c.Tensor(
[[4, 7, 5], [4, 6, 7], [0, 2, 4], [2, 6, 4], [0, 1, 2], [1, 3, 2],
[1, 5, 7], [1, 7, 3], [2, 3, 7], [2, 7, 6], [0, 4, 1], [1, 4, 5]],
o3c.int64, device)
assert box_default.vertex.positions.allclose(vertex_positions_default)
assert box_default.triangle.indices.allclose(triangle_indices_default)
# Test with custom parameters.
box_custom = o3d.t.geometry.TriangleMesh.create_box(2, 3, 4, o3c.float64,
o3c.int32, device)
vertex_positions_custom = o3c.Tensor(
[[0.0, 0.0, 0.0], [2.0, 0.0, 0.0], [0.0, 0.0, 4.0], [2.0, 0.0, 4.0],
[0.0, 3.0, 0.0], [2.0, 3.0, 0.0], [0.0, 3.0, 4.0], [2.0, 3.0, 4.0]],
o3c.float64, device)
triangle_indices_custom = o3c.Tensor(
[[4, 7, 5], [4, 6, 7], [0, 2, 4], [2, 6, 4], [0, 1, 2], [1, 3, 2],
[1, 5, 7], [1, 7, 3], [2, 3, 7], [2, 7, 6], [0, 4, 1], [1, 4, 5]],
o3c.int32, device)
assert box_custom.vertex.positions.allclose(vertex_positions_custom)
assert box_custom.triangle.indices.allclose(triangle_indices_custom)
@pytest.mark.parametrize("device", list_devices())
def test_create_sphere(device):
# Test with custom parameters.
sphere_custom = o3d.t.geometry.TriangleMesh.create_sphere(
1, 3, o3c.float64, o3c.int32, device)
vertex_positions_custom = o3c.Tensor(
[[0.0, 0.0, 1.0], [0.0, 0.0, -1.0], [0.866025, 0, 0.5],
[0.433013, 0.75, 0.5], [-0.433013, 0.75, 0.5], [-0.866025, 0.0, 0.5],
[-0.433013, -0.75, 0.5], [0.433013, -0.75, 0.5], [0.866025, 0.0, -0.5],
[0.433013, 0.75, -0.5], [-0.433013, 0.75, -0.5],
[-0.866025, 0.0, -0.5], [-0.433013, -0.75, -0.5],
[0.433013, -0.75, -0.5]], o3c.float64, device)
triangle_indices_custom = o3c.Tensor(
[[0, 2, 3], [1, 9, 8], [0, 3, 4], [1, 10, 9], [0, 4, 5], [1, 11, 10],
[0, 5, 6], [1, 12, 11], [0, 6, 7], [1, 13, 12], [0, 7, 2], [1, 8, 13],
[8, 3, 2], [8, 9, 3], [9, 4, 3], [9, 10, 4], [10, 5, 4], [10, 11, 5],
[11, 6, 5], [11, 12, 6], [12, 7, 6], [12, 13, 7], [13, 2, 7],
[13, 8, 2]], o3c.int32, device)
assert sphere_custom.vertex.positions.allclose(vertex_positions_custom)
assert sphere_custom.triangle.indices.allclose(triangle_indices_custom)
@pytest.mark.parametrize("device", list_devices())
def test_create_tetrahedron(device):
# Test with custom parameters.
tetrahedron_custom = o3d.t.geometry.TriangleMesh.create_tetrahedron(
2, o3c.float64, o3c.int32, device)
vertex_positions_custom = o3c.Tensor(
[[1.88562, 0.0, -0.666667], [-0.942809, 1.63299, -0.666667],
[-0.942809, -1.63299, -0.666667], [0.0, 0.0, 2]], o3c.float64, device)
triangle_indices_custom = o3c.Tensor(
[[0, 2, 1], [0, 3, 2], [0, 1, 3], [1, 2, 3]], o3c.int32, device)
assert tetrahedron_custom.vertex.positions.allclose(vertex_positions_custom)
assert tetrahedron_custom.triangle.indices.allclose(triangle_indices_custom)
@pytest.mark.parametrize("device", list_devices())
def test_create_octahedron(device):
# Test with custom parameters.
octahedron_custom = o3d.t.geometry.TriangleMesh.create_octahedron(
2, o3c.float64, o3c.int32, device)
vertex_positions_custom = o3c.Tensor(
[[2.0, 0.0, 0.0], [0.0, 2.0, 0.0], [0.0, 0.0, 2.0], [-2.0, 0.0, 0.0],
[0.0, -2.0, 0.0], [0.0, 0.0, -2.0]], o3c.float64, device)
triangle_indices_custom = o3c.Tensor(
[[0, 1, 2], [1, 3, 2], [3, 4, 2], [4, 0, 2], [0, 5, 1], [1, 5, 3],
[3, 5, 4], [4, 5, 0]], o3c.int32, device)
assert octahedron_custom.vertex.positions.allclose(vertex_positions_custom)
assert octahedron_custom.triangle.indices.allclose(triangle_indices_custom)
@pytest.mark.parametrize("device", list_devices())
def test_create_icosahedron(device):
# Test with custom parameters.
icosahedron_custom = o3d.t.geometry.TriangleMesh.create_icosahedron(
2, o3c.float64, o3c.int32, device)
vertex_positions_custom = o3c.Tensor(
[[-2.0, 0.0, 3.23607], [2.0, 0.0, 3.23607], [2.0, 0.0, -3.23607],
[-2.0, 0.0, -3.23607], [0.0, -3.23607, 2.0], [0.0, 3.23607, 2.0],
[0.0, 3.23607, -2.0], [0.0, -3.23607, -2.0], [-3.23607, -2.0, 0.0],
[3.23607, -2.0, 0.0], [3.23607, 2.0, 0.0], [-3.23607, 2.0, 0.0]],
o3c.float64, device)
triangle_indices_custom = o3c.Tensor(
[[0, 4, 1], [0, 1, 5], [1, 4, 9], [1, 9, 10], [1, 10, 5], [0, 8, 4],
[0, 11, 8], [0, 5, 11], [5, 6, 11], [5, 10, 6], [4, 8, 7], [4, 7, 9],
[3, 6, 2], [3, 2, 7], [2, 6, 10], [2, 10, 9], [2, 9, 7], [3, 11, 6],
[3, 8, 11], [3, 7, 8]], o3c.int32, device)
assert icosahedron_custom.vertex.positions.allclose(vertex_positions_custom)
assert icosahedron_custom.triangle.indices.allclose(triangle_indices_custom)
@pytest.mark.parametrize("device", list_devices())
def test_create_cylinder(device):
# Test with custom parameters.
cylinder_custom = o3d.t.geometry.TriangleMesh.create_cylinder(
1, 2, 3, 3, o3c.float64, o3c.int32, device)
vertex_positions_custom = o3c.Tensor(
[[0.0, 0.0, 1.0], [0.0, 0.0, -1.0], [1.0, 0.0, 1.0],
[-0.5, 0.866025, 1.0], [-0.5, -0.866025, 1.0], [1.0, 0.0, 0.333333],
[-0.5, 0.866025, 0.333333], [-0.5, -0.866025, 0.333333],
[1.0, 0.0, -0.333333], [-0.5, 0.866025, -0.333333],
[-0.5, -0.866025, -0.333333], [1.0, 0.0, -1.0], [-0.5, 0.866025, -1.0],
[-0.5, -0.866025, -1.0]], o3c.float64, device)
triangle_indices_custom = o3c.Tensor(
[[0, 2, 3], [1, 12, 11], [0, 3, 4], [1, 13, 12], [0, 4, 2], [1, 11, 13],
[5, 3, 2], [5, 6, 3], [6, 4, 3], [6, 7, 4], [7, 2, 4], [7, 5, 2],
[8, 6, 5], [8, 9, 6], [9, 7, 6], [9, 10, 7], [10, 5, 7], [10, 8, 5],
[11, 9, 8], [11, 12, 9], [12, 10, 9], [12, 13, 10], [13, 8, 10],
[13, 11, 8]], o3c.int32, device)
assert cylinder_custom.vertex.positions.allclose(vertex_positions_custom)
assert cylinder_custom.triangle.indices.allclose(triangle_indices_custom)
@pytest.mark.parametrize("device", list_devices())
def test_create_cone(device):
# Test with custom parameters.
cone_custom = o3d.t.geometry.TriangleMesh.create_cone(
2, 4, 3, 2, o3c.float64, o3c.int32, device)
vertex_positions_custom = o3c.Tensor(
[[0.0, 0.0, 0.0], [0.0, 0.0, 4.0], [2.0, 0.0, 0.0],
[-1.0, 1.73205, 0.0], [-1.0, -1.73205, 0.0], [1.0, 0.0, 2.0],
[-0.5, 0.866025, 2], [-0.5, -0.866025, 2]], o3c.float64, device)
triangle_indices_custom = o3c.Tensor(
[[0, 3, 2], [1, 5, 6], [0, 4, 3], [1, 6, 7], [0, 2, 4], [1, 7, 5],
[6, 2, 3], [6, 5, 2], [7, 3, 4], [7, 6, 3], [5, 4, 2], [5, 7, 4]],
o3c.int32, device)
assert cone_custom.vertex.positions.allclose(vertex_positions_custom)
assert cone_custom.triangle.indices.allclose(triangle_indices_custom)
@pytest.mark.parametrize("device", list_devices())
def test_create_torus(device):
# Test with custom parameters.
torus_custom = o3d.t.geometry.TriangleMesh.create_torus(
2, 1, 6, 3, o3c.float64, o3c.int32, device)
vertex_positions_custom = o3c.Tensor(
[[3.0, 0.0, 0.0], [1.5, 0.0, 0.866025], [1.5, 0.0, -0.866025],
[1.5, 2.59808, 0.0], [0.75, 1.29904, 0.866025],
[0.75, 1.29904, -0.866025], [-1.5, 2.59808, 0],
[-0.75, 1.29904, 0.866025], [-0.75, 1.29904, -0.866025],
[-3.0, 0.0, 0.0], [-1.5, 0.0, 0.866025], [-1.5, 0.0, -0.866025],
[-1.5, -2.59808, 0.0], [-0.75, -1.29904, 0.866025],
[-0.75, -1.29904, -0.866025], [1.5, -2.59808, 0.0],
[0.75, -1.29904, 0.866025], [0.75, -1.29904, -0.866025]], o3c.float64,
device)
triangle_indices_custom = o3c.Tensor(
[[3, 4, 0], [0, 4, 1], [4, 5, 1], [1, 5, 2], [5, 3, 2], [2, 3, 0],
[6, 7, 3], [3, 7, 4], [7, 8, 4], [4, 8, 5], [8, 6, 5], [5, 6, 3],
[9, 10, 6], [6, 10, 7], [10, 11, 7], [7, 11, 8], [11, 9, 8], [8, 9, 6],
[12, 13, 9], [9, 13, 10], [13, 14, 10], [10, 14, 11], [14, 12, 11],
[11, 12, 9], [15, 16, 12], [12, 16, 13], [16, 17, 13], [13, 17, 14],
[17, 15, 14], [14, 15, 12], [0, 1, 15], [15, 1, 16], [1, 2, 16],
[16, 2, 17], [2, 0, 17], [17, 0, 15]], o3c.int32, device)
assert torus_custom.vertex.positions.allclose(vertex_positions_custom)
assert torus_custom.triangle.indices.allclose(triangle_indices_custom)
@pytest.mark.parametrize("device", list_devices())
def test_create_arrow(device):
# Test with custom parameters.
arrow_custom = o3d.t.geometry.TriangleMesh.create_arrow(
1, 2, 4, 2, 4, 1, 1, o3c.float64, o3c.int32, device)
vertex_positions_custom = o3c.Tensor(
[[0.0, 0.0, 4.0], [0.0, 0.0, 0.0], [1.0, 0.0, 4.0], [0.0, 1.0, 4.0],
[-1.0, 0.0, 4.0], [0.0, -1.0, 4.0], [1.0, 0.0, 0.0], [0.0, 1.0, 0.0],
[-1.0, 0.0, 0.0], [0.0, -1.0, 0.0], [0.0, 0.0, 4.0], [0.0, 0.0, 6.0],
[2.0, 0.0, 4.0], [0.0, 2.0, 4.0], [-2.0, 0.0, 4.0], [0.0, -2.0, 4.0]],
o3c.float64, device)
triangle_indices_custom = o3c.Tensor(
[[0, 2, 3], [1, 7, 6], [0, 3, 4], [1, 8, 7], [0, 4, 5], [1, 9, 8],
[0, 5, 2], [1, 6, 9], [6, 3, 2], [6, 7, 3], [7, 4, 3], [7, 8, 4],
[8, 5, 4], [8, 9, 5], [9, 2, 5], [9, 6, 2], [10, 13, 12], [11, 12, 13],
[10, 14, 13], [11, 13, 14], [10, 15, 14], [11, 14, 15], [10, 12, 15],
[11, 15, 12]], o3c.int32, device)
assert arrow_custom.vertex.positions.allclose(vertex_positions_custom)
assert arrow_custom.triangle.indices.allclose(triangle_indices_custom)
@pytest.mark.parametrize("device", list_devices())
def test_create_mobius(device):
# Test with custom parameters.
mobius_custom = o3d.t.geometry.TriangleMesh.create_mobius(
10, 2, 1, 1, 1, 1, 1, o3c.float64, o3c.int32, device)
vertex_positions_custom = o3c.Tensor(
[[0.5, 0.0, 0.0], [1.5, 0.0, 0.0], [0.424307, 0.308277, -0.154508],
[1.19373, 0.867294, 0.154508], [0.184017, 0.566346, -0.293893],
[0.434017, 1.33577, 0.293893], [-0.218199, 0.671548, -0.404508],
[-0.399835, 1.23057, 0.404508], [-0.684017, 0.496967, -0.475528],
[-0.934017, 0.678603, 0.475528], [-1.0, 0.0, -0.5], [-1.0, 0.0, 0.5],
[-0.934017, -0.678603, -0.475528], [-0.684017, -0.496967, 0.475528],
[-0.399835, -1.23057, -0.404508], [-0.218199, -0.671548, 0.404508],
[0.434017, -1.33577, -0.293893], [0.184017, -0.566346, 0.293893],
[1.19373, -0.867294, -0.154508], [0.424307, -0.308277, 0.154508]],
o3c.float64, device)
triangle_indices_custom = o3c.Tensor(
[[0, 3, 1], [0, 2, 3], [3, 2, 4], [3, 4, 5], [4, 7, 5], [4, 6, 7],
[7, 6, 8], [7, 8, 9], [8, 11, 9], [8, 10, 11], [11, 10, 12],
[11, 12, 13], [12, 15, 13], [12, 14, 15], [15, 14, 16], [15, 16, 17],
[16, 19, 17], [16, 18, 19], [18, 19, 1], [1, 19, 0]], o3c.int32,
device)
assert mobius_custom.vertex.positions.allclose(vertex_positions_custom)
assert mobius_custom.triangle.indices.allclose(triangle_indices_custom)
def test_create_text():
mesh = o3d.t.geometry.TriangleMesh.create_text('Open3D', depth=1)
assert mesh.vertex.positions.shape == (624, 3)
assert mesh.triangle.indices.shape == (936, 3)
def test_simplify_quadric_decimation():
cube = o3d.t.geometry.TriangleMesh.from_legacy(
o3d.geometry.TriangleMesh.create_box().subdivide_midpoint(3))
# Chose reduction factor such that we get 12 faces.
target_reduction = 1 - (12 / cube.triangle.indices.shape[0])
simplified = cube.simplify_quadric_decimation(
target_reduction=target_reduction)
assert simplified.vertex.positions.shape == (8, 3)
assert simplified.triangle.indices.shape == (12, 3)
def test_boolean_operations():
box = o3d.geometry.TriangleMesh.create_box()
box = o3d.t.geometry.TriangleMesh.from_legacy(box)
sphere = o3d.geometry.TriangleMesh.create_sphere(0.8)
sphere = o3d.t.geometry.TriangleMesh.from_legacy(sphere)
# check input sphere
assert sphere.vertex.positions.shape == (762, 3)
assert sphere.triangle.indices.shape == (1520, 3)
ans = box.boolean_union(sphere)
assert ans.vertex.positions.shape == (730, 3)
assert ans.triangle.indices.shape == (1384, 3)
ans = box.boolean_intersection(sphere)
assert ans.vertex.positions.shape == (154, 3)
assert ans.triangle.indices.shape == (232, 3)
ans = box.boolean_difference(sphere)
assert ans.vertex.positions.shape == (160, 3)
assert ans.triangle.indices.shape == (244, 3)
def test_hole_filling():
sphere = o3d.geometry.TriangleMesh.create_sphere(1.0)
sphere = o3d.t.geometry.TriangleMesh.from_legacy(sphere)
clipped = sphere.clip_plane([0.8, 0, 0], [1, 0, 0])
assert not clipped.to_legacy().is_watertight()
filled = clipped.fill_holes()
assert filled.to_legacy().is_watertight()
def test_uvatlas():
box = o3d.t.geometry.TriangleMesh.create_box()
box.compute_uvatlas()
assert box.triangle['texture_uvs'].shape == (12, 3, 2)
def test_bake_vertex_attr_textures():
desired = np.array([
[[0., 0., 0.], [0., 0., 0.], [1., 0.25, 0.75], [1., 0.75, 0.75],
[0., 0., 0.], [0., 0., 0.], [0., 0., 0.], [0., 0., 0.]],
[[0., 0., 0.], [0., 0., 0.], [1., 0.25, 0.25], [1., 0.75, 0.25],
[0., 0., 0.], [0., 0., 0.], [0., 0., 0.], [0., 0., 0.]],
[[0.75, 0., 0.75], [0.75, 0., 0.25], [0.75, 0.25, 0.], [0.75, 0.75, 0.],
[0.75, 1., 0.25], [0.75, 1., 0.75], [0., 0., 0.], [0., 0., 0.]],
[[0.25, 0., 0.75], [0.25, 0., 0.25], [0.25, 0.25, 0.], [0.25, 0.75, 0.],
[0.25, 1., 0.25], [0.25, 1., 0.75], [0., 0., 0.], [0., 0., 0.]],
[[0., 0., 0.], [0., 0., 0.], [0., 0.25, 0.25], [0., 0.75, 0.25],
[0., 0., 0.], [0., 0., 0.], [0., 0., 0.], [0., 0., 0.]],
[[0., 0., 0.], [0., 0., 0.], [0., 0.25, 0.75], [0., 0.75, 0.75],
[0., 0., 0.], [0., 0., 0.], [0., 0., 0.], [0., 0., 0.]],
[[0., 0., 0.], [0., 0., 0.], [0.25, 0.25, 1.], [0.25, 0.75, 1.],
[0., 0., 0.], [0., 0., 0.], [0., 0., 0.], [0., 0., 0.]],
[[0., 0., 0.], [0., 0., 0.], [0.75, 0.25, 1.], [0.75, 0.75, 1.],
[0., 0., 0.], [0., 0., 0.], [0., 0., 0.], [0., 0., 0.]]
],
dtype=np.float32)
box = o3d.geometry.TriangleMesh.create_box(create_uv_map=True)
box = o3d.t.geometry.TriangleMesh.from_legacy(box)
textures = box.bake_vertex_attr_textures(8, {'positions'}, margin=0.1)
np.testing.assert_allclose(textures['positions'].numpy(), desired)
def test_bake_triangle_attr_textures():
desired = np.array(
[[-1, -1, 7, 7, -1, -1, -1, -1], [-1, -1, 7, 6, -1, -1, -1, -1],
[5, 5, 10, 11, 0, 0, -1, -1], [5, 4, 10, 10, 0, 1, -1, -1],
[-1, -1, 2, 2, -1, -1, -1, -1], [-1, -1, 2, 3, -1, -1, -1, -1],
[-1, -1, 8, 9, -1, -1, -1, -1], [-1, -1, 8, 8, -1, -1, -1, -1]],
dtype=np.int64)
box = o3d.geometry.TriangleMesh.create_box(create_uv_map=True)
box = o3d.t.geometry.TriangleMesh.from_legacy(box)
box.triangle.index = np.arange(box.triangle.indices.shape[0])
# shift the uvs to avoid pixel centers exactly at triangle boundaries.
box.triangle.texture_uvs[:, :, 0] += 0.01
textures = box.bake_triangle_attr_textures(8, {'index'},
margin=0.1,
fill=-1)
np.testing.assert_equal(textures['index'].numpy(), desired)
def test_extrude_rotation():
mesh = o3d.t.geometry.TriangleMesh([[1, 1, 0], [0.7, 1, 0], [1, 0.7, 0]],
[[0, 1, 2]])
ans = mesh.extrude_rotation(3 * 360, [0, 1, 0],
resolution=3 * 16,
translation=2)
assert ans.vertex.positions.shape == (147, 3)
assert ans.triangle.indices.shape == (290, 3)
def test_extrude_linear():
triangle = o3d.t.geometry.TriangleMesh(
[[1.0, 1.0, 0.0], [0, 1, 0], [1, 0, 0]], [[0, 1, 2]])
ans = triangle.extrude_linear([0, 0, 1])
assert ans.vertex.positions.shape == (6, 3)
assert ans.triangle.indices.shape == (8, 3)
@pytest.mark.parametrize("device", list_devices())
def test_pickle(device):
mesh = o3d.t.geometry.TriangleMesh.create_box().to(device)
with tempfile.TemporaryDirectory() as temp_dir:
file_name = f"{temp_dir}/mesh.pkl"
pickle.dump(mesh, open(file_name, "wb"))
mesh_load = pickle.load(open(file_name, "rb"))
assert mesh_load.device == device
assert mesh_load.vertex.positions.dtype == o3c.float32
assert mesh_load.triangle.indices.dtype == o3c.int64
np.testing.assert_equal(mesh_load.vertex.positions.cpu().numpy(),
mesh.vertex.positions.cpu().numpy())
np.testing.assert_equal(mesh_load.triangle.indices.cpu().numpy(),
mesh.triangle.indices.cpu().numpy())
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