1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
|
/*=========================================================================
Program: Insight Segmentation & Registration Toolkit
Module: itkBSplineKernelFunctionTest.cxx
Language: C++
Date: $Date$
Version: $Revision$
Copyright (c) Insight Software Consortium. All rights reserved.
See ITKCopyright.txt or http://www.itk.org/HTML/Copyright.htm for details.
This software is distributed WITHOUT ANY WARRANTY; without even
the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
PURPOSE. See the above copyright notices for more information.
=========================================================================*/
#if defined(_MSC_VER)
#pragma warning ( disable : 4786 )
#endif
#include "itkBSplineDerivativeKernelFunction.h"
#include "itkBSplineKernelFunction.h"
/*
* This test exercises the BSpline kernel function
* of various orders.
*/
int itkBSplineKernelFunctionTest(int, char* [] )
{
// Externally generated results
const unsigned int npoints = 49;
const double x[npoints] = {
-3, -2.875, -2.75, -2.625, -2.5,
-2.375, -2.25, -2.125, -2, -1.875,
-1.75, -1.625, -1.5, -1.375, -1.25,
-1.125, -1, -0.875, -0.75, -0.625,
-0.5, -0.375, -0.25, -0.125, 0,
0.125, 0.25, 0.375, 0.5, 0.625,
0.75, 0.875, 1, 1.125, 1.25,
1.375, 1.5, 1.625, 1.75, 1.875,
2, 2.125, 2.25, 2.375, 2.5,
2.625, 2.75, 2.875, 3 };
const double b0[npoints] = {
0, 0, 0, 0, 0,
0, 0, 0, 0, 0,
0, 0, 0, 0, 0,
0, 0, 0, 0, 0,
0.5, 1, 1, 1, 1,
1, 1, 1, 0.5, 0,
0, 0, 0, 0, 0,
0, 0, 0, 0, 0,
0, 0, 0, 0, 0,
0, 0, 0, 0 };
const double b1[npoints] = {
0, 0, 0, 0, 0,
0, 0, 0, 0, 0,
0, 0, 0, 0, 0,
0, 0, 0.125, 0.25, 0.375,
0.5, 0.625, 0.75, 0.875, 1,
0.875, 0.75, 0.625, 0.5, 0.375,
0.25, 0.125, 0, 0, 0,
0, 0, 0, 0, 0,
0, 0, 0, 0, 0,
0, 0, 0, 0 };
const double b2[npoints] = {
0, 0, 0, 0, 0,
0, 0, 0, 0, 0,
0, 0, 0, 0.0078125, 0.03125,
0.0703125, 0.125, 0.195313, 0.28125, 0.382813,
0.5, 0.609375, 0.6875, 0.734375, 0.75,
0.734375, 0.6875, 0.609375, 0.5, 0.382813,
0.28125, 0.195313, 0.125, 0.0703125, 0.03125,
0.0078125, 0, 0, 0, 0,
0, 0, 0, 0, 0,
0, 0, 0, 0 };
const double b3[npoints] = {
0, 0, 0, 0, 0,
0, 0, 0, 0, 0.000325521,
0.00260417, 0.00878906, 0.0208333, 0.0406901, 0.0703125,
0.111654, 0.166667, 0.236003, 0.315104, 0.398112,
0.479167, 0.552409, 0.611979, 0.652018, 0.666667,
0.652018, 0.611979, 0.552409, 0.479167, 0.398112,
0.315104, 0.236003, 0.166667, 0.111654, 0.0703125,
0.0406901, 0.0208333, 0.00878906, 0.00260417, 0.000325521,
0, 0, 0, 0, 0,
0, 0, 0, 0 };
// Testing the output of BSplineKernelFunction
#define TEST_BSPLINE_KERNEL(ORDERNUM) \
{ \
typedef itk::BSplineKernelFunction<ORDERNUM> FunctionType; \
FunctionType::Pointer function = FunctionType::New(); \
\
function->Print( std::cout ); \
for( unsigned j = 0; j < npoints; j++ ) \
{ \
double results = function->Evaluate( x[j] ); \
/* compare with external results */\
if( vnl_math_abs( results - b##ORDERNUM[j] ) > 1e-6 ) \
{ \
std::cout << "Error with " << ORDERNUM << " order BSplineKernelFunction" << std::endl; \
std::cout << "Expected: " << b##ORDERNUM[j] << " but got " << results; \
std::cout << " at x = " << x[j] << std::endl; \
std::cout << "Test failed" << std::endl; \
return EXIT_FAILURE; \
} \
} \
}
TEST_BSPLINE_KERNEL(0);
TEST_BSPLINE_KERNEL(1);
TEST_BSPLINE_KERNEL(2);
TEST_BSPLINE_KERNEL(3);
// Testing derivative
{
const unsigned int SplineOrder = 3;
typedef itk::BSplineDerivativeKernelFunction<SplineOrder> DerivativeFunctionType;
DerivativeFunctionType::Pointer derivFunction = DerivativeFunctionType::New();
derivFunction->Print( std::cout );
typedef itk::BSplineKernelFunction<SplineOrder - 1> FunctionType;
FunctionType::Pointer function = FunctionType::New();
double xx = -0.25;
double expectedValue = function->Evaluate( xx + 0.5 ) -
function->Evaluate( xx - 0.5 );
double results = derivFunction->Evaluate( xx );
if ( vnl_math_abs( results - expectedValue ) > 1e-6 )
{
std::cout << "Error with " << SplineOrder << " order BSplineDerivativeKernelFunction"
<< std::endl;
std::cout << "Expected: " << expectedValue << " but got " << results;
std::cout << " at x = " << xx << std::endl;
std::cout << "Test failed" << std::endl;
return EXIT_FAILURE;
}
}
// Testing case of unimplemented spline order
{
typedef itk::BSplineKernelFunction<7> FunctionType;
FunctionType::Pointer function = FunctionType::New();
bool pass = false;
try
{
function->Evaluate( 0.0 );
}
catch( itk::ExceptionObject & err )
{
std::cout << "Caught expected exception" << std::endl;
std::cout << err << std::endl;
pass = true;
}
if( !pass )
{
std::cout << "Did not catch expected exception" << std::endl;
std::cout << "Test failed" << std::endl;
return EXIT_FAILURE;
}
}
// Testing case of unimplemented spline order
{
typedef itk::BSplineDerivativeKernelFunction<5> FunctionType;
FunctionType::Pointer function = FunctionType::New();
bool pass = false;
try
{
function->Evaluate( 0.0 );
}
catch( itk::ExceptionObject & err )
{
std::cout << "Caught expected exception" << std::endl;
std::cout << err << std::endl;
pass = true;
}
if( !pass )
{
std::cout << "Did not catch expected exception" << std::endl;
std::cout << "Test failed" << std::endl;
return EXIT_FAILURE;
}
}
std::cout << "Test passed. " << std::endl;
return EXIT_SUCCESS;
}
|
