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igl/python/tutorial/701_Statistics.py
T
2018-11-28 08:29:23 -05:00

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#!/usr/bin/env python
#
# This file is part of libigl, a simple c++ geometry processing library.
#
# Copyright (C) 2017 Sebastian Koch <s.koch@tu-berlin.de> and Daniele Panozzo <daniele.panozzo@gmail.com>
#
# This Source Code Form is subject to the terms of the Mozilla Public License
# v. 2.0. If a copy of the MPL was not distributed with this file, You can
# obtain one at http://mozilla.org/MPL/2.0/.
import sys, os
# Add the igl library to the modules search path
import math
sys.path.insert(0, os.getcwd() + "/../")
import pyigl as igl
from shared import TUTORIAL_SHARED_PATH, check_dependencies
dependencies = []
check_dependencies(dependencies)
if __name__ == "__main__":
V = igl.eigen.MatrixXd()
F = igl.eigen.MatrixXi()
# Load meshes in OFF format
igl.readOBJ(TUTORIAL_SHARED_PATH + "horse_quad.obj", V, F)
# Count the number of irregular vertices, the border is ignored
irregular = igl.is_irregular_vertex(V, F)
vertex_count = V.rows()
irregular_vertex_count = sum(irregular)
irregular_ratio = irregular_vertex_count / vertex_count
print("Irregular vertices: \n%d/%d (%.2f%%)\n" % (
irregular_vertex_count, vertex_count, irregular_ratio * 100))
# Compute areas, min, max and standard deviation
area = igl.eigen.MatrixXd()
igl.doublearea(V, F, area)
area /= 2.0
area_avg = area.mean()
area_min = area.minCoeff() / area_avg
area_max = area.maxCoeff() / area_avg
area_ns = (area - area_avg) / area_avg
area_sigma = math.sqrt(area_ns.squaredMean())
print("Areas (Min/Max)/Avg_Area Sigma: \n%.2f/%.2f (%.2f)\n" % (
area_min, area_max, area_sigma))
# Compute per face angles, min, max and standard deviation
angles = igl.eigen.MatrixXd()
igl.internal_angles(V, F, angles)
angles = 360.0 * (angles / (2 * math.pi))
angle_avg = angles.mean()
angle_min = angles.minCoeff()
angle_max = angles.maxCoeff()
angle_ns = angles - angle_avg
angle_sigma = math.sqrt(angle_ns.squaredMean())
print("Angles in degrees (Min/Max) Sigma: \n%.2f/%.2f (%.2f)\n" % (
angle_min, angle_max, angle_sigma))