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+/* This file is part of the Gudhi Library. The Gudhi library
+ * (Geometric Understanding in Higher Dimensions) is a generic C++
+ * library for computational topology.
+ *
+ * Author(s): Pawel Dlotko
+ *
+ * Copyright (C) 2015 INRIA (France)
+ *
+ * This program 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.
+ *
+ * This program 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 this program. If not, see <http://www.gnu.org/licenses/>.
+ */
+
+
+
+#include <gudhi/reader_utils.h>
+#include <gudhi/Persistence_heat_maps.h>
+
+#include <iostream>
+#include <vector>
+
+
+
+using namespace Gudhi;
+using namespace Gudhi::Persistence_representations;
+
+
+double epsilon = 0.0000005;
+
+
+
+int main( int argc , char** argv )
+{
+ //create two simple vectors with birth--death pairs:
+
+ std::vector< std::pair< double , double > > persistence1;
+ std::vector< std::pair< double , double > > persistence2;
+
+ persistence1.push_back( std::make_pair(1,2) );
+ persistence1.push_back( std::make_pair(6,8) );
+ persistence1.push_back( std::make_pair(0,4) );
+ persistence1.push_back( std::make_pair(3,8) );
+
+ persistence2.push_back( std::make_pair(2,9) );
+ persistence2.push_back( std::make_pair(1,6) );
+ persistence2.push_back( std::make_pair(3,5) );
+ persistence2.push_back( std::make_pair(6,10) );
+
+ //over here we define a function we sill put on a top on every birth--death pair in the persistence interval. It can be anything. Over here we will use standarg Gaussian
+ std::vector< std::vector<double> > filter = create_Gaussian_filter(5,1);
+
+ //creating two heat maps.
+ Persistence_heat_maps<constant_scaling_function> hm1( persistence1 , filter , false , 20 , 0 , 11 );
+ Persistence_heat_maps<constant_scaling_function> hm2( persistence2 , filter , false , 20 , 0 , 11 );
+
+ std::vector<Persistence_heat_maps<constant_scaling_function>*> vector_of_maps;
+ vector_of_maps.push_back( &hm1 );
+ vector_of_maps.push_back( &hm2 );
+
+ //compute median/mean of a vector of heat maps:
+ Persistence_heat_maps<constant_scaling_function> mean;
+ mean.compute_mean( vector_of_maps );
+ Persistence_heat_maps<constant_scaling_function> median;
+ median.compute_median( vector_of_maps );
+
+ //to compute L^1 disance between hm1 and hm2:
+ std::cout << "The L^1 distance is : " << hm1.distance( hm2 , 1 ) << std::endl;
+
+ //to average of hm1 and hm2:
+ std::vector< Persistence_heat_maps<constant_scaling_function>* > to_average;
+ to_average.push_back( &hm1 );
+ to_average.push_back( &hm2 );
+ Persistence_heat_maps<constant_scaling_function> av;
+ av.compute_average( to_average );
+
+ //to compute scalar product of hm1 and hm2:
+ std::cout << "Scalar product is : " << hm1.compute_scalar_product( hm2 ) << std::endl;
+
+ return 0;
+}
+
+
+
+