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168 lines
5.4 KiB
168 lines
5.4 KiB
/** @file */
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/* The MIT License
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*
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* Copyright (c) 2008, Naotoshi Seo <sonots(at)sonots.com>
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*
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* Permission is hereby granted, free of charge, to any person obtaining a copy
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* of this software and associated documentation files (the "Software"), to deal
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* in the Software without restriction, including without limitation the rights
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* to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
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* copies of the Software, and to permit persons to whom the Software is
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* furnished to do so, subject to the following conditions:
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*
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* The above copyright notice and this permission notice shall be included in
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* all copies or substantial portions of the Software.
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*
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* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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* AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
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* OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
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* THE SOFTWARE.
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*/
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#ifndef CV_GMMPDF_INCLUDED
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#define CV_GMMPDF_INCLUDED
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#include "cv.h"
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#include "cvaux.h"
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#include <stdio.h>
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#include <iostream>
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#define _USE_MATH_DEFINES
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#include <math.h>
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#include "cvgausspdf.h"
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//CVAPI(void)
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//cvMatGmmPdf( const CvMat* samples, const CvMat* means, CvMat** covs,
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// const CvMat* weights, CvMat* probs, bool normalize = false );
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//CV_INLINE double
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//cvGmmPdf( const CvMat* sample, const CvMat* means, CvMat** covs,
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// const CvMat* weights, CvMat* probs = NULL, bool normalize = false );
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/**
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* Compute gaussian mixture pdf for a set of sample vectors
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*
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* Example)
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* @code
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* const int D = 2;
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* const int N = 3;
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* const int K = 2;
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*
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* double vs[] = { 3, 4, 5,
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* 3, 4, 5 }; * col vectors
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* double ms[] = { 3, 5,
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* 3, 5 }; * col vectors
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* double cs0[] = { 1, 0,
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* 0, 1 };
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* double cs1[] = { 1, 0.1,
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* 0.1, 1 };
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* double ws[] = { 0.5, 0.5 };
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*
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* CvMat vecs = cvMat(D, N, CV_64FC1, vs);
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* CvMat means = cvMat(D, K, CV_64FC1, ms);
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* CvMat **covs = (CvMat**)cvAlloc( K * sizeof(*covs) );
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* covs[0] = &cvMat(D, D, CV_64FC1, cs0);
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* covs[1] = &cvMat(D, D, CV_64FC1, cs0);
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* CvMat weights = cvMat( 1, K, CV_64FC1, ws);
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* CvMat *probs = cvCreateMat(K, N, CV_64FC1);
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* cvMatGmmPdf( &vecs, &means, covs, &weights, probs, false);
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* cvMatPrint( probs );
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* cvReleaseMat( &probs );
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* cvFree( &covs );
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* @endcode
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*
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* @param samples D x N data vector (Note: not N x D for clearness of matrix operation)
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* @param means D x K mean vector
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* @param covs (D x D) x K covariance matrix for each cluster
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* @param weights 1 x K weights
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* @param probs K x N or 1 x N computed probabilites
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* @param normalize Compute normalization term or not
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* @see cvGaussPdf
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*/
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CVAPI(void)
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cvMatGmmPdf( const CvMat* samples, const CvMat* means, CvMat** covs,
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const CvMat* weights, CvMat* probs, bool normalize CV_DEFAULT(true) )
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{
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int D = samples->rows;
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int N = samples->cols;
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int K = means->cols;
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int type = samples->type;
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CV_FUNCNAME( "cvMatGmmPdf" ); // error handling
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__CV_BEGIN__;
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CV_ASSERT( CV_IS_MAT(samples) );
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CV_ASSERT( CV_IS_MAT(means) );
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for( int k = 0; k < K; k++ )
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CV_ASSERT( CV_IS_MAT(covs[k]) );
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CV_ASSERT( CV_IS_MAT(weights) );
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CV_ASSERT( CV_IS_MAT(probs) );
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CV_ASSERT( D == means->rows );
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for( int k = 0; k < K; k++ )
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CV_ASSERT( D == covs[k]->rows && D == covs[k]->cols ); // D x D
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CV_ASSERT( 1 == weights->rows && K == weights->cols ); // 1 x K
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CV_ASSERT( ( 1 == probs->rows || K == probs->rows ) && N == probs->cols ); // 1 x N or K x N
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CvMat *mean = cvCreateMat( D, 1, type );
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const CvMat *cov;
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CvMat *_probs = cvCreateMat( 1, N, type );
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cvZero( probs );
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for( int k = 0; k < K; k++ )
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{
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cvGetCol( means, mean, k );
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cov = covs[k];
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cvMatGaussPdf( samples, mean, cov, _probs, normalize );
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cvConvertScale( _probs, _probs, cvmGet( weights, 0, k ) );
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if( 1 == probs->rows )
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{
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cvAdd( probs, _probs, probs );
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}
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else
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{
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for( int n = 0; n < N; n++ )
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{
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cvmSet( probs, k, n, cvmGet( _probs, 0, n ) );
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}
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}
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}
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cvReleaseMat( &mean );
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cvReleaseMat( &_probs );
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__CV_END__;
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}
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/**
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* Compute gaussian mixture pdf
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*
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* @param sample D x 1 sample vector
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* @param means D x K mean vector for each cluster
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* @param covs (D x D) x K covariance matrix for each cluster
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* @param weights 1 x K weights
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* @param probs K x 1 probabilities for each cluster if want
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* @param normalize use normalization term or not
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* @return double prob
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* @see cvMatGmmPdf
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*/
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CV_INLINE double
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cvGmmPdf( const CvMat* sample, const CvMat* means, CvMat** covs,
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const CvMat* weights, CvMat* probs CV_DEFAULT(NULL), bool normalize CV_DEFAULT(true) )
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{
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double prob;
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CvMat* _probs;
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int K = means->cols;
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if( probs )
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_probs = probs;
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else
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_probs = cvCreateMat( K, 1, sample->type );
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cvMatGmmPdf( sample, means, covs, weights, _probs, normalize );
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prob = cvSum( _probs ).val[0];
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if( !probs )
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cvReleaseMat( &probs );
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return prob;
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}
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#endif
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