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
|
/*
//
// Copyright 1997-2009 Torsten Rohlfing
//
// Copyright 2004-2013 SRI International
//
// This file is part of the Computational Morphometry Toolkit.
//
// http://www.nitrc.org/projects/cmtk/
//
// The Computational Morphometry Toolkit is free software: you can
// redistribute it and/or modify it under the terms of the GNU General Public
// License as published by the Free Software Foundation, either version 3 of
// the License, or (at your option) any later version.
//
// The Computational Morphometry Toolkit 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 the Computational Morphometry Toolkit. If not, see
// <http://www.gnu.org/licenses/>.
//
// $Revision: 5436 $
//
// $LastChangedDate: 2018-12-10 19:01:20 -0800 (Mon, 10 Dec 2018) $
//
// $LastChangedBy: torstenrohlfing $
//
*/
#ifndef __cmtkMatrix3x3_h_included_
#define __cmtkMatrix3x3_h_included_
#include <cmtkconfig.h>
#include <Base/cmtkFixedSquareMatrix.h>
#include <Base/cmtkFixedVector.h>
#include <System/cmtkConsole.h>
namespace
cmtk
{
/** \addtogroup Base */
//@{
/// Homogeneous 3x3 transformation matrix.
template<class T=Types::Coordinate>
class Matrix3x3 :
public FixedSquareMatrix<3,T>
{
public:
/// This class.
typedef Matrix3x3<T> Self;
/// The floating point element type.
typedef T ElementType;
/// Parent class.
typedef FixedSquareMatrix<3,T> Superclass;
/// Default constructor.
Matrix3x3() {}
/// Copy constructor.
Matrix3x3( const Superclass& other ) : Superclass( other ) {}
/** Array constructor.
* If a NULL parameter is given, an uninitialized matrix is generated. This
* is intended behaviour.
*/
Matrix3x3( const typename Self::ElementType *const values ) : Superclass( values ) {}
/// 2D array constructor.
template<class T2> Matrix3x3( const T2 (&matrix)[3][3] ) : Superclass( matrix ) {}
/// Compose from canonical parameters.
Self& Compose( const typename Self::ElementType params[8] );
/// Decompose into affine parameters.
bool Decompose( typename Self::ElementType params[8], const typename Self::ElementType *center = NULL ) const;
/// Get determinant.
typename Self::ElementType Determinant() const
{
return ( (*this)[0][0]*(*this)[1][1]*(*this)[2][2] +
(*this)[0][1]*(*this)[1][2]*(*this)[2][0] +
(*this)[0][2]*(*this)[1][0]*(*this)[2][1] -
(*this)[0][2]*(*this)[1][1]*(*this)[2][0] -
(*this)[0][0]*(*this)[1][2]*(*this)[2][1] -
(*this)[0][1]*(*this)[1][0]*(*this)[2][2] );
}
/// Compute eigenvalues.
void ComputeEigenvalues( typename Self::ElementType (&lambda)[3] ) const;
};
/// Define coordinate matrix.
typedef Matrix3x3<Types::Coordinate> CoordinateMatrix3x3;
//@}
} // namespace cmtk
#endif // #ifndef __cmtkMatrix3x3_h_included_
|
