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LMedS (Least Median of Squares) Implementation
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/****************************************************************************** | ||
* Authors: Johannes Mikulasch * | ||
* License: Copyright (c) 2013 Laurent Kneip, ANU. All rights reserved. * | ||
* * | ||
* Redistribution and use in source and binary forms, with or without * | ||
* modification, are permitted provided that the following conditions * | ||
* are met: * | ||
* * Redistributions of source code must retain the above copyright * | ||
* notice, this list of conditions and the following disclaimer. * | ||
* * Redistributions in binary form must reproduce the above copyright * | ||
* notice, this list of conditions and the following disclaimer in the * | ||
* documentation and/or other materials provided with the distribution. * | ||
* * Neither the name of ANU nor the names of its contributors may be * | ||
* used to endorse or promote products derived from this software without * | ||
* specific prior written permission. * | ||
* * | ||
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"* | ||
* AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * | ||
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * | ||
* ARE DISCLAIMED. IN NO EVENT SHALL ANU OR THE CONTRIBUTORS BE LIABLE * | ||
* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL * | ||
* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR * | ||
* SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER * | ||
* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT * | ||
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY * | ||
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF * | ||
* SUCH DAMAGE. * | ||
******************************************************************************/ | ||
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//Note: has been derived from Ransac which has been derived from ROS | ||
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/** | ||
* \file Lmeds.hpp | ||
* \brief Implementation of the Lmeds algorithm | ||
*/ | ||
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#ifndef OPENGV_SAC_LMEDS_HPP_ | ||
#define OPENGV_SAC_LMEDS_HPP_ | ||
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#include <vector> | ||
#include <opengv/sac/SampleConsensus.hpp> | ||
#include <cstdio> | ||
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/** | ||
* \brief The namespace of this library. | ||
*/ | ||
namespace opengv | ||
{ | ||
/** | ||
* \brief The namespace for the sample consensus methods. | ||
*/ | ||
namespace sac | ||
{ | ||
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/** | ||
* The LMedS (Least Median of Squares) sample consensus method | ||
*/ | ||
template<typename PROBLEM_T> | ||
class Lmeds : public SampleConsensus<PROBLEM_T> | ||
{ | ||
public: | ||
/** A child of SampleConsensusProblem */ | ||
typedef PROBLEM_T problem_t; | ||
/** The model we trying to fit */ | ||
typedef typename problem_t::model_t model_t; | ||
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using SampleConsensus<problem_t>::max_iterations_; | ||
using SampleConsensus<problem_t>::threshold_; | ||
using SampleConsensus<problem_t>::iterations_; | ||
using SampleConsensus<problem_t>::sac_model_; | ||
using SampleConsensus<problem_t>::model_; | ||
using SampleConsensus<problem_t>::model_coefficients_; | ||
using SampleConsensus<problem_t>::inliers_; | ||
using SampleConsensus<problem_t>::probability_; | ||
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/** | ||
* \brief Constructor. | ||
*/ | ||
Lmeds( | ||
int maxIterations = 1000, | ||
double threshold = 1.0, | ||
double probability = 0.99); | ||
/** | ||
* \brief Destructor. | ||
*/ | ||
virtual ~Lmeds(); | ||
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/** | ||
* \brief Fit the model. | ||
*/ | ||
bool computeModel( int debug_verbosity_level = 0 ); | ||
}; | ||
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} // namespace sac | ||
} // namespace opengv | ||
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#include "implementation/Lmeds.hpp" | ||
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#endif /* OPENGV_SAC_LMEDS_HPP_ */ |
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/****************************************************************************** | ||
* Authors: Johannes Mikulasch * | ||
* License: Copyright (c) 2013 Laurent Kneip, ANU. All rights reserved. * | ||
* * | ||
* Redistribution and use in source and binary forms, with or without * | ||
* modification, are permitted provided that the following conditions * | ||
* are met: * | ||
* * Redistributions of source code must retain the above copyright * | ||
* notice, this list of conditions and the following disclaimer. * | ||
* * Redistributions in binary form must reproduce the above copyright * | ||
* notice, this list of conditions and the following disclaimer in the * | ||
* documentation and/or other materials provided with the distribution. * | ||
* * Neither the name of ANU nor the names of its contributors may be * | ||
* used to endorse or promote products derived from this software without * | ||
* specific prior written permission. * | ||
* * | ||
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"* | ||
* AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * | ||
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * | ||
* ARE DISCLAIMED. IN NO EVENT SHALL ANU OR THE CONTRIBUTORS BE LIABLE * | ||
* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL * | ||
* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR * | ||
* SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER * | ||
* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT * | ||
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY * | ||
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF * | ||
* SUCH DAMAGE. * | ||
******************************************************************************/ | ||
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//Note: has been derived from PCL and from Ransac.hpp which has been derived from ROS | ||
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template<typename P> | ||
opengv::sac::Lmeds<P>::Lmeds( | ||
int maxIterations, double threshold, double probability) : | ||
SampleConsensus<P>(maxIterations, threshold, probability) | ||
{} | ||
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template<typename P> | ||
opengv::sac::Lmeds<P>::~Lmeds(){} | ||
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template<typename PROBLEM_T> | ||
bool | ||
opengv::sac::Lmeds<PROBLEM_T>::computeModel(int debug_verbosity_level) | ||
{ | ||
typedef PROBLEM_T problem_t; | ||
typedef typename problem_t::model_t model_t; | ||
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// Warn and exit if no threshold was set | ||
if (threshold_ == std::numeric_limits<double>::max()) | ||
{ | ||
fprintf(stderr,"[sm::LeastMedianSquares::computeModel] No threshold set!\n"); | ||
return (false); | ||
} | ||
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iterations_ = 0; | ||
double d_best_penalty = std::numeric_limits<double>::max(); | ||
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std::vector<int> best_model; | ||
std::vector<int> selection; | ||
model_t model_coefficients; | ||
std::vector<double> distances; | ||
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int n_inliers_count = 0; | ||
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unsigned skipped_count = 0; | ||
// suppress infinite loops by just allowing 10 x maximum allowed iterations for | ||
// invalid model parameters! | ||
const unsigned max_skip = max_iterations_ * 10; | ||
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if(debug_verbosity_level > 1) | ||
fprintf(stdout, | ||
"[sm::LeastMedianSquares::computeModel] Starting Least Median of Squares\n" | ||
"max_iterations: %d\n" | ||
"max_skip: %d\n", | ||
max_iterations_, max_skip); | ||
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// Iterate | ||
while(iterations_ < max_iterations_ && skipped_count < max_skip) | ||
{ | ||
// Get X samples which satisfy the model criteria | ||
sac_model_->getSamples(iterations_, selection); | ||
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if(selection.empty()) | ||
{ | ||
fprintf(stderr, "[sm::LeastMedianSquares::computeModel] No samples could be selected!\n"); | ||
break; | ||
} | ||
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if(!sac_model_->computeModelCoefficients(selection, model_coefficients)) | ||
{ | ||
++ skipped_count; | ||
continue; | ||
} | ||
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double d_cur_penalty = 0; | ||
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// Iterate through the 3d points and calculate the distances from them to the model | ||
distances.clear(); | ||
sac_model_->getDistancesToModel(model_coefficients, distances); | ||
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// No distances? The model must not respect the user given constraints | ||
if (distances.empty ()) | ||
{ | ||
++skipped_count; | ||
continue; | ||
} | ||
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// Clip distances smaller than 0. Square the distances | ||
for (std::size_t i = 0; i < distances.size(); ++i) { | ||
if (distances[i] < 0) { | ||
distances[i] = 0; | ||
} | ||
distances[i] = distances[i] * distances[i]; | ||
} | ||
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std::sort (distances.begin(), distances.end()); | ||
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size_t mid = sac_model_->getIndices()->size() / 2; | ||
if (mid >= distances.size()) | ||
{ | ||
++skipped_count; | ||
continue; | ||
} | ||
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// Do we have a "middle" point or should we "estimate" one ? | ||
if (sac_model_->getIndices()->size() % 2 == 0) { | ||
d_cur_penalty = (distances[mid-1] + distances[mid]) / 2; | ||
} else { | ||
d_cur_penalty = distances[mid]; | ||
} | ||
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// Better match ? | ||
if(d_cur_penalty < d_best_penalty) | ||
{ | ||
d_best_penalty = d_cur_penalty; | ||
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// Save the current model/inlier/coefficients selection as being the best so far | ||
model_ = selection; | ||
model_coefficients_ = model_coefficients; | ||
} | ||
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++iterations_; | ||
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if(debug_verbosity_level > 1) | ||
fprintf(stdout, | ||
"[sm::LeastMedianSquares::computeModel] Trial %d out of %d. Best penalty is: %f so far. Current penalty is: %f\n", | ||
iterations_, max_iterations_, d_best_penalty, d_cur_penalty); | ||
} | ||
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if(model_.empty()) | ||
{ | ||
if (debug_verbosity_level > 0) | ||
fprintf(stdout,"[sm::LeastMedianSquares::computeModel] Unable to find a solution!\n"); | ||
return (false); | ||
} | ||
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// Classify the data points into inliers and outliers | ||
// Sigma = 1.4826 * (1 + 5 / (n-d)) * sqrt (M) | ||
// @note: See "Robust Regression Methods for Computer Vision: A Review" | ||
//double sigma = 1.4826 * (1 + 5 / (sac_model_->getIndices ()->size () - best_model.size ())) * sqrt (d_best_penalty); | ||
//double threshold = 2.5 * sigma; | ||
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// Iterate through the 3d points and calculate the distances from them to the model again | ||
distances.clear(); | ||
sac_model_->getDistancesToModel(model_coefficients_, distances); | ||
// No distances? The model must not respect the user given constraints | ||
if (distances.empty()) | ||
{ | ||
fprintf(stderr,"[sm::LeastMedianSquares::computeModel] The model found failed to verify against the given constraints!\n"); | ||
return (false); | ||
} | ||
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std::vector<int> &indices = *sac_model_->getIndices(); | ||
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if (distances.size () != indices.size ()) | ||
{ | ||
fprintf(stderr,"[sm::LeastMedianSquares::computeModel] Estimated distances (%zu) differs than the normal of indices (%zu).\n", distances.size (), indices.size ()); | ||
return false; | ||
} | ||
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inliers_.resize(distances.size()); | ||
// Get the inliers for the best model found | ||
n_inliers_count = 0; | ||
for (size_t i = 0; i < distances.size(); ++i) | ||
if (distances[i] <= threshold_) | ||
inliers_[n_inliers_count++] = indices[i]; | ||
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// Resize the inliers vector | ||
inliers_.resize(n_inliers_count); | ||
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if (debug_verbosity_level > 0) | ||
fprintf(stdout,"[sm::LeastMedianSquares::computeModel] Model: %zu size, %d inliers.\n", model_.size (), n_inliers_count); | ||
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return (true); | ||
} |
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