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/*
 * Copyright (c) 2011-2018, Peter Abeles. All Rights Reserved.
 *
 * This file is part of BoofCV (http://boofcv.org).
 *
 * Licensed under the Apache License, Version 2.0 (the "License");
 * you may not use this file except in compliance with the License.
 * You may obtain a copy of the License at
 *
 *   http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,
 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 * See the License for the specific language governing permissions and
 * limitations under the License.
 */

package boofcv.alg.geo.f;

import boofcv.alg.geo.ModelObservationResidual;
import boofcv.alg.geo.PerspectiveOps;
import boofcv.struct.calib.CameraPinhole;
import boofcv.struct.geo.AssociatedPair;
import georegression.geometry.GeometryMath_F64;
import georegression.struct.point.Point3D_F64;
import org.ejml.data.DMatrixRMaj;
import org.ejml.dense.row.CommonOps_DDRM;

/**
 * 

* Computes the Sampson distance residual for a set of observations given an esesntial matrix. For use * in least-squares non-linear optimization algorithms. Error is computed in pixels. *

* *

0 = x2T*F*x1

*

E=K2'*F*K1

*

F=inv(K2')*E*inv(K1)

*

0=(K2*n2)'inv(K2)'*E*inv(K1)*(K1*n2), where n1 and n2 are normalized image coordinates

*

* Page 287 in: R. Hartley, and A. Zisserman, "Multiple View Geometry in Computer Vision", 2nd Ed, Cambridge 2003 *

* * @author Peter Abeles */ public class EssentialResidualSampson implements ModelObservationResidual { DMatrixRMaj E; DMatrixRMaj K2E = new DMatrixRMaj(3,3); DMatrixRMaj EK1 = new DMatrixRMaj(3,3); Point3D_F64 temp = new Point3D_F64(); DMatrixRMaj K1_inv = new DMatrixRMaj(3,3); DMatrixRMaj K2_inv = new DMatrixRMaj(3,3); public void setCalibration1(CameraPinhole pinhole ) { DMatrixRMaj K = new DMatrixRMaj(3,3); PerspectiveOps.pinholeToMatrix(pinhole,K); CommonOps_DDRM.invert(K,K1_inv); } public void setCalibration2(CameraPinhole pinhole ) { DMatrixRMaj K = new DMatrixRMaj(3,3); PerspectiveOps.pinholeToMatrix(pinhole,K); CommonOps_DDRM.invert(K,K2_inv); } @Override public void setModel(DMatrixRMaj E) { this.E = E; CommonOps_DDRM.multTransA(K2_inv,E, K2E); CommonOps_DDRM.mult(E,K1_inv, EK1); } @Override public double computeResidual(AssociatedPair observation) { double bottom = 0; GeometryMath_F64.mult(K2E, observation.p1, temp); bottom += temp.x*temp.x + temp.y*temp.y; GeometryMath_F64.multTran(EK1, observation.p2, temp); bottom += temp.x*temp.x + temp.y*temp.y; if( bottom == 0) { return Double.MAX_VALUE; } else { GeometryMath_F64.multTran(E,observation.p2,temp); return (temp.x*observation.p1.x + temp.y*observation.p1.y + temp.z)/bottom; } } }




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