Developer Documentation

- Main Page
- Related Pages
- Modules
- Namespaces
- Classes
- Files

- File List
- File Members

All Classes Namespaces Files Functions Variables Typedefs Enumerations Enumerator Properties Friends Macros Modules Pages
BSplineBasis.hh
1 /*===========================================================================*\
2 * *
3 * OpenFlipper *
4 * Copyright (c) 2001-2015, RWTH-Aachen University *
5 * Department of Computer Graphics and Multimedia *
6 * All rights reserved. *
7 * www.openflipper.org *
8 * *
9 *---------------------------------------------------------------------------*
10 * This file is part of OpenFlipper. *
11 *---------------------------------------------------------------------------*
12 * *
13 * Redistribution and use in source and binary forms, with or without *
14 * modification, are permitted provided that the following conditions *
15 * are met: *
16 * *
17 * 1. Redistributions of source code must retain the above copyright notice, *
18 * this list of conditions and the following disclaimer. *
19 * *
20 * 2. Redistributions in binary form must reproduce the above copyright *
21 * notice, this list of conditions and the following disclaimer in the *
22 * documentation and/or other materials provided with the distribution. *
23 * *
24 * 3. Neither the name of the copyright holder nor the names of its *
25 * contributors may be used to endorse or promote products derived from *
26 * this software without specific prior written permission. *
27 * *
28 * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS *
29 * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED *
30 * TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A *
31 * PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER *
32 * OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, *
33 * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, *
34 * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR *
35 * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF *
36 * LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING *
37 * NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS *
38 * SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. *
39 * *
40 \*===========================================================================*/
41
42 /*===========================================================================*\
43 * *
44 * $Revision$ *
45 * $Author$ *
46 * $Date$ *
47 * *
48 \*===========================================================================*/
49
50
51 #ifndef ACG_BSPLINEBASIS_HH_
52 #define ACG_BSPLINEBASIS_HH_
53
54 #include <vector>
55 #include <ACG/Math/VectorT.hh>
56
57 namespace ACG {
58
59
66 template<typename Scalar>
67 Vec2i
68 bsplineSpan(Scalar _t,
69 int _degree,
70 const std::vector<Scalar>& _knots);
71
72
83 template<typename Scalar>
84 void
85 bsplineBasisFunctions( std::vector<Scalar>& _N,
86 const Vec2i& _span,
87 Scalar _t,
88 const std::vector<Scalar>& _knots);
89
90
91
104 template<typename Scalar>
105 void
106 bsplineBasisDerivatives( std::vector<Scalar>& _ders,
107 const Vec2i& _span,
108 Scalar _t,
109 int _der,
110 const std::vector<Scalar>& _knots,
111 std::vector<Scalar>* _functionVals);
112
113
125 template<typename Scalar>
126 Scalar
127 bsplineBasisFunction(int _i,
128 int _degree,
129 Scalar _t,
130 const std::vector<Scalar>& _knots);
131
144 template<typename Scalar>
145 Scalar
146 bsplineBasisDerivative(int _i,
147 int _degree,
148 Scalar _t,
149 int _der,
150 const std::vector<Scalar>& _knots);
151
152
153
154 } /* namespace ACG */
155
156 #if defined(INCLUDE_TEMPLATES) && !defined(ACG_BSPLINEBASIS_C)
157 #define ACG_BSPLINEBASIS_TEMPLATES
158 #include "BSplineBasis.cc"
159 #endif
160
161 #endif /* ACG_BSPLINEBASIS_HH_ */
ACG::bsplineBasisFunctions
void bsplineBasisFunctions(std::vector< Scalar > &_N, const Vec2i &_span, Scalar _t, const std::vector< Scalar > &_knots)
Evaluate basis functions in a span.
Definition: BSplineBasis.cc:125
ACG
Namespace providing different geometric functions concerning angles.
Definition: DBSCANT.cc:51
ACG::Vec2i
VectorT< signed int, 2 > Vec2i
Definition: VectorT.hh:104
ACG::bsplineSpan
Vec2i bsplineSpan(Scalar _t, int _degree, const std::vector< Scalar > &_knots)
Find the span of a parameter value.
Definition: BSplineBasis.cc:77
ACG::bsplineBasisDerivatives
void bsplineBasisDerivatives(std::vector< Scalar > &_ders, const Vec2i &_span, Scalar _t, int _der, const std::vector< Scalar > &_knots, std::vector< Scalar > *_functionVals)
Compute derivatives of basis functions in a span.
Definition: BSplineBasis.cc:173
ACG::bsplineBasisFunction
Scalar bsplineBasisFunction(int _i, int _degree, Scalar _t, const std::vector< Scalar > &_knots)
Evaluate a single basis function.
Definition: BSplineBasis.cc:295
ACG::bsplineBasisDerivative
Scalar bsplineBasisDerivative(int _i, int _degree, Scalar _t, int _der, const std::vector< Scalar > &_knots)
Compute derivative of a single basis function.
Definition: BSplineBasis.cc:334