// Copyright (c) 2018, ETH Zurich and UNC Chapel Hill.
// 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.
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//     * 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 ETH Zurich and UNC Chapel Hill 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
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// ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDERS OR CONTRIBUTORS BE
// LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
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// Author: Johannes L. Schoenberger (jsch at inf.ethz.ch)

#ifndef COLMAP_SRC_ESTIMATORS_HOMOGRAPHY_MATRIX_H_
#define COLMAP_SRC_ESTIMATORS_HOMOGRAPHY_MATRIX_H_

#include <vector>

#include <Eigen/Core>

#include "util/alignment.h"
#include "util/types.h"

namespace colmap {

// Direct linear transformation algorithm to compute the homography between
// point pairs. This algorithm computes the least squares estimate for
// the homography from at least 4 correspondences.
class HomographyMatrixEstimator {
 public:
  typedef Eigen::Vector2d X_t;
  typedef Eigen::Vector2d Y_t;
  typedef Eigen::Matrix3d M_t;

  // The minimum number of samples needed to estimate a model.
  static const int kMinNumSamples = 4;

  // Estimate the projective transformation (homography).
  //
  // The number of corresponding points must be at least 4.
  //
  // @param points1    First set of corresponding points.
  // @param points2    Second set of corresponding points.
  //
  // @return         3x3 homogeneous transformation matrix.
  static std::vector<M_t> Estimate(const std::vector<X_t>& points1,
                                   const std::vector<Y_t>& points2);

  // Calculate the transformation error for each corresponding point pair.
  //
  // Residuals are defined as the squared transformation error when
  // transforming the source to the destination coordinates.
  //
  // @param points1    First set of corresponding points.
  // @param points2    Second set of corresponding points.
  // @param H          3x3 projective matrix.
  // @param residuals  Output vector of residuals.
  static void Residuals(const std::vector<X_t>& points1,
                        const std::vector<Y_t>& points2, const M_t& H,
                        std::vector<double>* residuals);
};

}  // namespace colmap

#endif  // COLMAP_SRC_ESTIMATORS_HOMOGRAPHY_MATRIX_H_
