DGtal 1.3.0
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Functions
testNormalCycleComputer.cpp File Reference
DGtal Test Files
#include <iostream>
#include <vector>
#include <algorithm>
#include "DGtal/base/Common.h"
#include "DGtal/kernel/SpaceND.h"
#include "DGtal/shapes/SurfaceMesh.h"
#include "DGtal/shapes/SurfaceMeshHelper.h"
#include "DGtal/geometry/meshes/NormalCycleComputer.h"
#include "DGtalCatch.h"

Go to the source code of this file.

Functions

 SCENARIO ("NormalCycleComputer sphere tests", "[nc][sphere]")
 
 SCENARIO ("NormalCycleComputer Schwarz lantern tests", "[nc][lantern]")
 
 SCENARIO ("NormalCycleComputer convergence tests", "[nc][convergence]")
 

Detailed Description

This program is free software: you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version.

This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.

You should have received a copy of the GNU General Public License along with this program. If not, see http://www.gnu.org/licenses/.

Author
Jacques-Olivier Lachaud (jacqu.nosp@m.es-o.nosp@m.livie.nosp@m.r.la.nosp@m.chaud.nosp@m.@uni.nosp@m.v-sav.nosp@m.oie..nosp@m.fr ) Laboratory of Mathematics (CNRS, UMR 5127), University of Savoie, France
Date
2021/10/24

Functions for testing class NormalCycleComputer.

This file is part of the DGtal library.

Definition in file testNormalCycleComputer.cpp.

Function Documentation

◆ SCENARIO() [1/3]

SCENARIO ( "NormalCycleComputer convergence tests"  ,
""  [nc][convergence] 
)

Definition at line 115 of file testNormalCycleComputer.cpp.

116{
117 using namespace Z3i;
118 typedef SurfaceMesh< RealPoint, RealVector > SM;
119 typedef SurfaceMeshHelper< RealPoint, RealVector > SMH;
120 typedef NormalCycleComputer< RealPoint, RealVector > NCComputer;
121
122 GIVEN( "A sphere of radius 1 discretized finer and finer" ) {
123 THEN( "The total mu0 measure tends toward the sphere area" ) {
124 std::vector< double > errors_mu0;
125 for ( unsigned int n = 10; n < 50; n += 10 )
126 {
127 SM sphere = SMH::makeSphere( 1.0, RealPoint { 0.0, 0.0, 0.0 }, n, n,
128 SMH::NormalsType::VERTEX_NORMALS );
129 NCComputer nc_computer ( sphere );
130 auto mu0 = nc_computer .computeMu0();
131 errors_mu0.push_back( mu0.measure() );
132 }
133 double sphere_area = 4.0 * M_PI;
134 for ( auto & v : errors_mu0 ) v = fabs( v - sphere_area ) / sphere_area;
135 for ( auto i = 0; i < errors_mu0.size()-1; i++ ) {
136 REQUIRE( errors_mu0[ i+1 ] < errors_mu0[ i ] );
137 }
138 }
139 }
140 GIVEN( "A sphere of radius 1 discretized finer and finer" ) {
141 THEN( "The total mu1 measure tends toward twice the sphere area" ) {
142 std::vector< double > errors_mu1;
143 for ( unsigned int n = 10; n < 50; n += 10 )
144 {
145 SM sphere = SMH::makeSphere( 1.0, RealPoint { 0.0, 0.0, 0.0 }, n, n,
146 SMH::NormalsType::VERTEX_NORMALS );
147 NCComputer nc_computer ( sphere );
148 auto mu1 = nc_computer .computeMu1();
149 errors_mu1.push_back( mu1.measure() );
150 }
151 double sphere_twice_mc = 8.0 * M_PI;
152 for ( auto & v : errors_mu1 ) v = fabs( v - sphere_twice_mc ) / sphere_twice_mc;
153 for ( auto i = 0; i < errors_mu1.size()-1; i++ ) {
154 REQUIRE( errors_mu1[ i+1 ] < errors_mu1[ i ] );
155 }
156 }
157 }
158 GIVEN( "A sphere of radius 1 discretized finer and finer" ) {
159 THEN( "The total mu2 measure is the sphere area" ) {
160 std::vector< double > errors_mu2;
161 for ( unsigned int n = 10; n < 50; n += 10 )
162 {
163 SM sphere = SMH::makeSphere( 1.0, RealPoint { 0.0, 0.0, 0.0 }, n, n,
164 SMH::NormalsType::VERTEX_NORMALS );
165 NCComputer nc_computer ( sphere );
166 auto mu2 = nc_computer .computeMu2();
167 errors_mu2.push_back( mu2.measure() );
168 }
169 double sphere_gauss_c = 4.0 * M_PI;
170 for ( auto & v : errors_mu2 ) v = fabs( v - sphere_gauss_c ) / sphere_gauss_c;
171 for ( auto i = 0; i < errors_mu2.size(); i++ ) {
172 REQUIRE( errors_mu2[ i ] == Approx( 0.0 ).margin( 1e-8 ) );
173 }
174 }
175 }
176}
DGtal::PointVector
Aim: Implements basic operations that will be used in Point and Vector classes.
Definition: PointVector.h:593
DGtal::NormalCycleComputer
Aim: Utility class to compute curvatures measures induced by (1) the normal cycle induced by a Surfac...
Definition: NormalCycleComputer.h:68
DGtal::SurfaceMeshHelper
Aim: An helper class for building classical meshes.
Definition: SurfaceMeshHelper.h:64
DGtal::SurfaceMesh
Aim: Represents an embedded mesh as faces and a list of vertices. Vertices may be shared among faces ...
Definition: SurfaceMesh.h:92
GIVEN
GIVEN("A cubical complex with random 3-cells")
Definition: testCubicalComplex.cpp:70
REQUIRE
REQUIRE(domain.isInside(aPoint))

References GIVEN(), and REQUIRE().

◆ SCENARIO() [2/3]

SCENARIO ( "NormalCycleComputer Schwarz lantern tests"  ,
""  [nc][lantern] 
)

Definition at line 82 of file testNormalCycleComputer.cpp.

83{
84 using namespace Z3i;
85 typedef SurfaceMesh< RealPoint, RealVector > SM;
86 typedef SurfaceMeshHelper< RealPoint, RealVector > SMH;
87 typedef NormalCycleComputer< RealPoint, RealVector > NCComputer;
88
89 SM lantern = SMH::makeLantern( 1.0, 1.0, RealPoint { 0.0, 0.0, 0.0 }, 30, 12,
90 SMH::NormalsType::VERTEX_NORMALS );
91 NCComputer nc_computer ( lantern );
92 GIVEN( "A discretized lantern of radius 1 with 30x12x2 triangles" ) {
93 THEN( "Its total mu0 measure is close to 2*pi (area)" ) {
94 auto mu0 = nc_computer .computeMu0();
95 double total_area = mu0.measure();
96 Approx lantern_area = Approx( 2.0 * M_PI ).epsilon(0.05);
97 REQUIRE( total_area != lantern_area );
98 }
99 THEN( "Its total mu1 measure is not close to 2*pi (twice mean curvature)" ) {
100 auto mu1 = nc_computer .computeMu1();
101 double total_mu1 = mu1.measure();
102 Approx twice_mean_c = Approx( 2.0 * M_PI ).epsilon(0.05);
103 REQUIRE( total_mu1 != twice_mean_c );
104 }
105 THEN( "Its total mu2 measure not close to 0 (Gaussian curvature)" ) {
106 auto mu2 = nc_computer .computeMu2();
107 double total_mu2 = mu2.measure();
108 Approx gaussian_c = Approx( 0.0 ).epsilon(0.05);
109 REQUIRE( total_mu2 != gaussian_c );
110 }
111 }
112}

References GIVEN(), and REQUIRE().

◆ SCENARIO() [3/3]

SCENARIO ( "NormalCycleComputer sphere tests"  ,
""  [nc][sphere] 
)

Definition at line 50 of file testNormalCycleComputer.cpp.

51{
52 using namespace Z3i;
53 typedef SurfaceMesh< RealPoint, RealVector > SM;
54 typedef SurfaceMeshHelper< RealPoint, RealVector > SMH;
55 typedef NormalCycleComputer< RealPoint, RealVector > NCComputer;
56
57 SM sphere = SMH::makeSphere( 1.0, RealPoint { 0.0, 0.0, 0.0 }, 10, 10,
58 SMH::NormalsType::FACE_NORMALS );
59 NCComputer nc_computer ( sphere );
60 GIVEN( "A discretized sphere of radius 1 with 10x10 quadrangles and triangles" ) {
61 THEN( "Its total mu0 measure is close to 4*pi (area)" ) {
62 auto mu0 = nc_computer .computeMu0();
63 double total_area = mu0.measure();
64 Approx sphere_area = Approx( 4.0 * M_PI ).epsilon(0.05);
65 REQUIRE( total_area == sphere_area );
66 }
67 THEN( "Its total mu1 measure is close to 8*pi (twice mean curvature)" ) {
68 auto mu1 = nc_computer .computeMu1();
69 double total_mu1 = mu1.measure();
70 Approx twice_mean_c = Approx( 8.0 * M_PI ).epsilon(0.05);
71 REQUIRE( total_mu1 == twice_mean_c );
72 }
73 THEN( "Its total mu2 measure is close to 4*pi (Gaussian curvature)" ) {
74 auto mu2 = nc_computer .computeMu2();
75 double total_mu2 = mu2.measure();
76 Approx gaussian_c = Approx( 4.0 * M_PI ).epsilon(0.05);
77 REQUIRE( total_mu2 == gaussian_c );
78 }
79 }
80}

References GIVEN(), and REQUIRE().

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