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
|
/*=========================================================================
*
* Copyright Insight Software Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0.txt
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*
*=========================================================================*/
#include "itkSymmetricEllipsoidInteriorExteriorSpatialFunction.h"
int itkSymmetricEllipsoidInteriorExteriorSpatialFunctionTest(int, char* [] )
{
std::cout << "itkSymmetricEllipsoidInteriorExteriorSpatialFunction test start" << std::endl;
// Test will create an ellipsoid (3-dimensional)
const unsigned int dimension = 3;
// Symmetric Ellipsoid spatial function typedef
typedef itk::SymmetricEllipsoidInteriorExteriorSpatialFunction<3> TSymEllipsoidFunctionType;
// Point position typedef
typedef TSymEllipsoidFunctionType::InputType TSymEllipsoidFunctionVectorType;
// Create an ellipsoid spatial function for the source image
TSymEllipsoidFunctionType::Pointer spatialFunc = TSymEllipsoidFunctionType::New();
// Define function doitkSymmetricEllipsoidInteriorExteriorSpatialFunctionTest, which encapsulates ellipsoid.
int xExtent = 50;
int yExtent = 50;
int zExtent = 50;
// Define and set the center of the ellipsoid in the center of
// the function doitkSymmetricEllipsoidInteriorExteriorSpatialFunctionTest
TSymEllipsoidFunctionVectorType center;
center[0] = xExtent/2;
center[1] = yExtent/2;
center[2] = zExtent/2;
spatialFunc->SetCenter(center);
// Define and set the orientation and axes lengths of the ellipsoid
// NOTE: Orienation vector must be normalized!!!!
itk::Vector<double, 3> orientation;
orientation[0] = 1/std::sqrt(2.0);
orientation[1] = 1/std::sqrt(2.0);
orientation[2] = 0;
double uniqueAxisLength = 45;
double symmetricAxesLength = 30;
spatialFunc->SetOrientation(orientation, uniqueAxisLength, symmetricAxesLength);
// Evaluate all points in the spatial function and count the number of
// pixels that are inside the sphere.
double testPosition[dimension]; // position of a pixel in the function doitkSymmetricEllipsoidInteriorExteriorSpatialFunctionTest
bool functionValue; // Value of pixel at a given position
int interiorPixelCounter = 0; // Count pixels inside ellipsoid
for(int x = 0; x < xExtent; x++)
{
for(int y = 0; y < yExtent; y++)
{
for(int z =0; z < zExtent; z++)
{
testPosition[0] = x;
testPosition[1] = y;
testPosition[2] = z;
functionValue = spatialFunc->Evaluate(testPosition);
if(functionValue == 1)
interiorPixelCounter++;
}
}
}
// Evaluate the center of the ellipsoid, which is inside the ellipsoid and
// should equal 1.
testPosition[0] = center[0];
testPosition[1] = center[1];
testPosition[2] = center[2];
functionValue = spatialFunc->Evaluate(testPosition);
// Volume of ellipsoid using V=(4/3)*pi*(a/2)*(b/2)*(c/2)
double volume = 4.18879013333*(uniqueAxisLength/2)*(symmetricAxesLength/2)*(symmetricAxesLength/2);
// Percent difference in volume measurement and calculation
double volumeError = (std::fabs(volume - interiorPixelCounter)/volume)*100;
// 5% error was randomly chosen as a successful ellipsoid fill.
// This should actually be some function of the image/ellipsoid size.
if(volumeError <= 5 || functionValue == 1)
{
// With testing settings, results should yield:
// calculated ellipsoid volume = 21205.8 pixels
// measured ellipsoid volume = 21197 pixels
// volume error = 0.04126%
// function value = 1
std::cout << "calculated ellipsoid volume = " << volume << std::endl
<< "measured ellipsoid volume = " << interiorPixelCounter << std::endl
<< "volume error = " << volumeError << "%" << std::endl
<< "function value = " << functionValue << std::endl
<< "center location = (" << spatialFunc->GetCenter()[0] << ", " << spatialFunc->GetCenter()[0]
<< ", " << spatialFunc->GetCenter()[2] << ")" << std::endl
<< "itkSymmetricEllipsoidSpatialFunction ended successfully!" << std::endl;
return EXIT_SUCCESS;
}
//Default behavior is to fail
std::cerr << "calculated ellipsoid volume = " << volume << std::endl
<< "measured ellipsoid volume = " << interiorPixelCounter << std::endl
<< "volume error = " << volumeError << "%" << std::endl
<< "function value = " << functionValue << std::endl
<< "center location = (" << spatialFunc->GetCenter()[0] << ", " << spatialFunc->GetCenter()[0]
<< ", " << spatialFunc->GetCenter()[2] << ")" << std::endl
<< "itkSymmetricEllipsoidSpatialFunction failed :(" << std::endl;
return EXIT_FAILURE;
}
|
