exponentialMap.cpp

/****************************************************************************
 *
 * $Id: exponentialMap.cpp 4056 2013-01-05 13:04:42Z fspindle $
 *
 * This file is part of the ViSP software.
 * Copyright (C) 2005 - 2013 by INRIA. All rights reserved.
 * 
 * This software is free software; you can redistribute it and/or
 * modify it under the terms of the GNU General Public License
 * ("GPL") version 2 as published by the Free Software Foundation.
 * See the file LICENSE.txt at the root directory of this source
 * distribution for additional information about the GNU GPL.
 *
 * For using ViSP with software that can not be combined with the GNU
 * GPL, please contact INRIA about acquiring a ViSP Professional 
 * Edition License.
 *
 * See http://www.irisa.fr/lagadic/visp/visp.html for more information.
 * 
 * This software was developed at:
 * INRIA Rennes - Bretagne Atlantique
 * Campus Universitaire de Beaulieu
 * 35042 Rennes Cedex
 * France
 * http://www.irisa.fr/lagadic
 *
 * If you have questions regarding the use of this file, please contact
 * INRIA at visp@inria.fr
 * 
 * This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
 * WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
 *
 *
 * Description:
 * Test some vpColVector functionalities.
 *
 * Authors:
 * Eric Marchand
 *
 *****************************************************************************/

#include <visp/vpTranslationVector.h>
#include <visp/vpRotationVector.h>
#include <visp/vpThetaUVector.h>
#include <visp/vpRxyzVector.h>
#include <visp/vpColVector.h>
#include <visp/vpHomogeneousMatrix.h>
#include <visp/vpExponentialMap.h>


int
main()
{

  vpTranslationVector t;
  t[0] = 0.1;  // t_x in m/s
  t[1] = 0.2f; // t_y in m/s
  t[2] = 0.f;  // t_z in m/s

  vpRxyzVector rxyz;
  rxyz[0] = vpMath::rad(0.f);  // r_x in rad/s
  rxyz[1] = vpMath::rad(0.f);  // r_y in rad/s
  rxyz[2] = vpMath::rad(90.f); // r_z in rad/s

  // Build a ThetaU rotation vector from a Rxyz vector
  vpThetaUVector tu;
  tu.buildFrom(rxyz);

  vpColVector v(6); // Velocity vector [t, thetaU]^t

  v[0] = t[0]; // t_x
  v[1] = t[1]; // t_y
  v[2] = t[2]; // t_z
  v[3] = tu[0]; // ThetaU_x
  v[4] = tu[1]; // ThetaU_y
  v[5] = tu[2]; // ThetaU_z

  std::cout << "Considered velocity : \n" << v << std::endl;

  vpHomogeneousMatrix M;

  // Compute the displacement from the velocity applied during 1 second
  M = vpExponentialMap::direct(v);

  {
    // Extract translation from homogenous matrix
    vpTranslationVector dt; // translation displacement
    M.extract(dt);

    // Extract rotation from homogenous matrix
    vpRotationMatrix R;
    M.extract(R);
    vpRxyzVector drxyz(R); // rotational displacement

    std::cout << "Displacement if velocity is applied during 1 s : \n"
              << dt << " " << drxyz << std::endl;
  }

  // Compute the displacement from the velocity applied during 2 seconds
  M = vpExponentialMap::direct(v, 2.f);

  {
    // Extract translation from homogenous matrix
    vpTranslationVector dt; // translation displacement
    M.extract(dt);

    // Extract rotation from homogenous matrix
    vpRotationMatrix R;
    M.extract(R);
    vpRxyzVector drxyz(R); // rotational displacement

    std::cout << "Displacement if velocity is applied during 2 s : \n"
              << dt << " " << drxyz << std::endl;
  }

  // Compute the velocity from the displacement observed during 2 seconds
  v = vpExponentialMap::inverse(M, 2.f);

  std::cout << "Velocity from displacement observed during 2 s: \n"
            << v << std::endl;

}