Geogram  Version 1.9.1
A programming library of geometric algorithms
linear_least_squares.h
Go to the documentation of this file.
1 /*
2  * Copyright (c) 2000-2022 Inria
3  * All rights reserved.
4  *
5  * Redistribution and use in source and binary forms, with or without
6  * modification, are permitted provided that the following conditions are met:
7  *
8  * * Redistributions of source code must retain the above copyright notice,
9  * this list of conditions and the following disclaimer.
10  * * Redistributions in binary form must reproduce the above copyright notice,
11  * this list of conditions and the following disclaimer in the documentation
12  * and/or other materials provided with the distribution.
13  * * Neither the name of the ALICE Project-Team nor the names of its
14  * contributors may be used to endorse or promote products derived from this
15  * software without specific prior written permission.
16  *
17  * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
18  * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
19  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
20  * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE
21  * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
22  * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
23  * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
24  * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
25  * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
26  * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
27  * POSSIBILITY OF SUCH DAMAGE.
28  *
29  * Contact: Bruno Levy
30  *
31  * https://www.inria.fr/fr/bruno-levy
32  *
33  * Inria,
34  * Domaine de Voluceau,
35  * 78150 Le Chesnay - Rocquencourt
36  * FRANCE
37  *
38  */
39 
40 #ifndef H_EXPLORAGRAM_OPTIMAL_TRANSPORT_LINEAR_LEAST_SQUARES_H
41 #define H_EXPLORAGRAM_OPTIMAL_TRANSPORT_LINEAR_LEAST_SQUARES_H
42 
44 #include <geogram/basic/matrix.h>
45 
53 namespace GEO {
54 
64  public:
70 
74  void begin();
75 
82  void end();
83 
91  void add_point(const double* p, double v);
92 
100  double eval(const double* p) const;
101 
102  protected:
103 
109  void add_point_degree_1(const double* p, double v);
110 
116  void add_point_degree_2(const double* p, double v);
117 
121  index_t dim() const {
122  return dim_;
123  }
124 
132  void eval_basis(const double* p, double* b) const;
133 
137  static const int MAX_DIM = 10;
138 
139  private:
140  index_t degree_;
141  index_t dim_;
142  Matrix<4,double> AtA_4_;
143  Matrix<10,double> AtA_10_;
144  double Atb_[MAX_DIM];
145  double eqn_[MAX_DIM];
146  };
147 }
148 
149 #endif
Computes the linear least squares regression of a function evaluated in 3d.
void add_point_degree_1(const double *p, double v)
Implementation of add_point() for degree 1.
LinearLeastSquares(index_t degree)
Constructs a new LinearLeastSquares.
void eval_basis(const double *p, double *b) const
Evaluates the function basis at a given point.
void add_point_degree_2(const double *p, double v)
Implementation of add_point() for degree 2.
double eval(const double *p) const
Evaluates the least-squares linear estimate at a given point.
void end()
Ends the current computation.
void begin()
Starts a new computation.
void add_point(const double *p, double v)
Adds a sample to the current computation.
index_t dim() const
Gets the dimension of the function basis.
#define EXPLORAGRAM_API
Linkage declaration for exploragram symbols.
Definition: defs.h:18
Included by all headers in exploragram.
Generic matrix type.
Global Vorpaline namespace.
Definition: basic.h:55
geo_index_t index_t
The type for storing and manipulating indices.
Definition: numeric.h:329