convex_hull.hpp

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 * $Id: convex_hull.hpp 6214 2012-07-06 19:31:29Z rusu $
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#include <pcl/pcl_config.h>
#ifdef HAVE_QHULL

#ifndef PCL_SURFACE_IMPL_CONVEX_HULL_H_
#define PCL_SURFACE_IMPL_CONVEX_HULL_H_

#include <pcl/surface/convex_hull.h>
#include <pcl/common/common.h>
#include <pcl/common/eigen.h>
#include <pcl/common/transforms.h>
#include <pcl/common/io.h>
#include <stdio.h>
#include <stdlib.h>
#include <pcl/surface/qhull.h>

template <typename PointInT> void
pcl::ConvexHull<PointInT>::calculateInputDimension ()
{
  PCL_WARN ("[pcl::%s::calculateInputDimension] WARNING: Input dimension not specified.  Automatically determining input dimension.\n", getClassName ().c_str ());
  EIGEN_ALIGN16 Eigen::Matrix3f covariance_matrix;
  Eigen::Vector4f xyz_centroid;
  computeMeanAndCovarianceMatrix (*input_, *indices_, covariance_matrix, xyz_centroid);

  EIGEN_ALIGN16 Eigen::Vector3f eigen_values;
  pcl::eigen33 (covariance_matrix, eigen_values);

  if (eigen_values[0] / eigen_values[2] < 1.0e-3)
    dimension_ = 2;
  else
    dimension_ = 3;
}

template <typename PointInT> void
pcl::ConvexHull<PointInT>::performReconstruction2D (PointCloud &hull, std::vector<pcl::Vertices> &polygons,
                                                    bool)
{
  int dimension = 2;
  bool xy_proj_safe = true;
  bool yz_proj_safe = true;
  bool xz_proj_safe = true;

  // Check the input's normal to see which projection to use
  PointInT p0 = input_->points[0];
  PointInT p1 = input_->points[indices_->size () - 1];
  PointInT p2 = input_->points[indices_->size () / 2];
  Eigen::Array4f dy1dy2 = (p1.getArray4fMap () - p0.getArray4fMap ()) / (p2.getArray4fMap () - p0.getArray4fMap ());
  while (!( (dy1dy2[0] != dy1dy2[1]) || (dy1dy2[2] != dy1dy2[1]) ) )
  {
    p0 = input_->points[rand () % indices_->size ()];
    p1 = input_->points[rand () % indices_->size ()];
    p2 = input_->points[rand () % indices_->size ()];
    dy1dy2 = (p1.getArray4fMap () - p0.getArray4fMap ()) / (p2.getArray4fMap () - p0.getArray4fMap ());
  }
    
  pcl::PointCloud<PointInT> normal_calc_cloud;
  normal_calc_cloud.points.resize (3);
  normal_calc_cloud.points[0] = p0;
  normal_calc_cloud.points[1] = p1;
  normal_calc_cloud.points[2] = p2;
    
  Eigen::Vector4f normal_calc_centroid;
  Eigen::Matrix3f normal_calc_covariance;
  pcl::computeMeanAndCovarianceMatrix (normal_calc_cloud, normal_calc_covariance, normal_calc_centroid);
  // Need to set -1 here. See eigen33 for explanations.
  Eigen::Vector3f::Scalar eigen_value;
  Eigen::Vector3f plane_params;
  pcl::eigen33 (normal_calc_covariance, eigen_value, plane_params);
  float theta_x = fabsf (plane_params.dot (x_axis_));
  float theta_y = fabsf (plane_params.dot (y_axis_));
  float theta_z = fabsf (plane_params.dot (z_axis_));

  // Check for degenerate cases of each projection
  // We must avoid projections in which the plane projects as a line
  if (theta_z > projection_angle_thresh_)
  {
    xz_proj_safe = false;
    yz_proj_safe = false;
  }
  if (theta_x > projection_angle_thresh_)
  {
    xz_proj_safe = false;
    xy_proj_safe = false;
  }
  if (theta_y > projection_angle_thresh_)
  {
    xy_proj_safe = false;
    yz_proj_safe = false;
  }

  // True if qhull should free points in qh_freeqhull() or reallocation
  boolT ismalloc = True;
  // output from qh_produce_output(), use NULL to skip qh_produce_output()
  FILE *outfile = NULL;

  if (compute_area_)
    outfile = stderr;

  // option flags for qhull, see qh_opt.htm
  const char* flags = qhull_flags.c_str ();
  // error messages from qhull code
  FILE *errfile = stderr;

  // Array of coordinates for each point
  coordT *points = reinterpret_cast<coordT*> (calloc (indices_->size () * dimension, sizeof (coordT)));

  // Build input data, using appropriate projection
  int j = 0;
  if (xy_proj_safe)
  {
    for (size_t i = 0; i < indices_->size (); ++i, j+=dimension)
    {
      points[j + 0] = static_cast<coordT> (input_->points[(*indices_)[i]].x);
      points[j + 1] = static_cast<coordT> (input_->points[(*indices_)[i]].y);
    }
  } 
  else if (yz_proj_safe)
  {
    for (size_t i = 0; i < input_->points.size (); ++i, j+=dimension)
    {
      points[j + 0] = static_cast<coordT> (input_->points[(*indices_)[i]].y);
      points[j + 1] = static_cast<coordT> (input_->points[(*indices_)[i]].z);
    }
  }
  else if (xz_proj_safe)
  {
    for (size_t i = 0; i < input_->points.size (); ++i, j+=dimension)
    {
      points[j + 0] = static_cast<coordT> (input_->points[(*indices_)[i]].x);
      points[j + 1] = static_cast<coordT> (input_->points[(*indices_)[i]].z);
    }
  }
  else
  {
    // This should only happen if we had invalid input
    PCL_ERROR ("[pcl::%s::performReconstruction2D] Invalid input!\n", getClassName ().c_str ());
  }
   
  // Compute convex hull
  int exitcode = qh_new_qhull (dimension, static_cast<int> (indices_->size ()), points, ismalloc, const_cast<char*> (flags), outfile, errfile);
    
  // 0 if no error from qhull
  if (exitcode != 0)
  {
    PCL_ERROR ("[pcl::%s::performReconstrution2D] ERROR: qhull was unable to compute a convex hull for the given point cloud (%zu)!\n", getClassName ().c_str (), indices_->size ());

    hull.points.resize (0);
    hull.width = hull.height = 0;
    polygons.resize (0);

    qh_freeqhull (!qh_ALL);
    int curlong, totlong;
    qh_memfreeshort (&curlong, &totlong);

    return;
  }

  // Qhull returns the area in volume for 2D
  if (compute_area_)
  {
    total_area_ = qh totvol;
    total_volume_ = 0.0;
  }

  int num_vertices = qh num_vertices;
  hull.points.resize (num_vertices);
  memset (&hull.points[0], static_cast<int> (hull.points.size ()), sizeof (PointInT));

  vertexT * vertex;
  int i = 0;

  std::vector<std::pair<int, Eigen::Vector4f>, Eigen::aligned_allocator<std::pair<int, Eigen::Vector4f> > > idx_points (num_vertices);
  idx_points.resize (hull.points.size ());
  memset (&idx_points[0], static_cast<int> (hull.points.size ()), sizeof (std::pair<int, Eigen::Vector4f>));

  FORALLvertices
  {
    hull.points[i] = input_->points[(*indices_)[qh_pointid (vertex->point)]];
    idx_points[i].first = qh_pointid (vertex->point);
    ++i;
  }

  // Sort
  Eigen::Vector4f centroid;
  pcl::compute3DCentroid (hull, centroid);
  if (xy_proj_safe)
  {
    for (size_t j = 0; j < hull.points.size (); j++)
    {
      idx_points[j].second[0] = hull.points[j].x - centroid[0];
      idx_points[j].second[1] = hull.points[j].y - centroid[1];
    }
  }
  else if (yz_proj_safe)
  {
    for (size_t j = 0; j < hull.points.size (); j++)
    {
      idx_points[j].second[0] = hull.points[j].y - centroid[1];
      idx_points[j].second[1] = hull.points[j].z - centroid[2];
    }
  }
  else if (xz_proj_safe)
  {
    for (size_t j = 0; j < hull.points.size (); j++)
    {
      idx_points[j].second[0] = hull.points[j].x - centroid[0];
      idx_points[j].second[1] = hull.points[j].z - centroid[2];
    }
  }
  std::sort (idx_points.begin (), idx_points.end (), comparePoints2D);
    
  polygons.resize (1);
  polygons[0].vertices.resize (hull.points.size () + 1);  

  for (int j = 0; j < static_cast<int> (hull.points.size ()); j++)
  {
    hull.points[j] = input_->points[(*indices_)[idx_points[j].first]];
    polygons[0].vertices[j] = static_cast<unsigned int> (j);
  }
  polygons[0].vertices[hull.points.size ()] = 0;
    
  qh_freeqhull (!qh_ALL);
  int curlong, totlong;
  qh_memfreeshort (&curlong, &totlong);

  hull.width = static_cast<uint32_t> (hull.points.size ());
  hull.height = 1;
  hull.is_dense = false;
  return;
}

#ifdef __GNUC__
#pragma GCC diagnostic ignored "-Wold-style-cast"
#endif

template <typename PointInT> void
pcl::ConvexHull<PointInT>::performReconstruction3D (
    PointCloud &hull, std::vector<pcl::Vertices> &polygons, bool fill_polygon_data)
{
  int dimension = 3;

  // True if qhull should free points in qh_freeqhull() or reallocation
  boolT ismalloc = True;
  // output from qh_produce_output(), use NULL to skip qh_produce_output()
  FILE *outfile = NULL;

  if (compute_area_)
    outfile = stderr;

  // option flags for qhull, see qh_opt.htm
  const char *flags = qhull_flags.c_str ();
  // error messages from qhull code
  FILE *errfile = stderr;

  // Array of coordinates for each point
  coordT *points = reinterpret_cast<coordT*> (calloc (indices_->size () * dimension, sizeof (coordT)));

  int j = 0;
  for (size_t i = 0; i < indices_->size (); ++i, j+=dimension)
  {
    points[j + 0] = static_cast<coordT> (input_->points[(*indices_)[i]].x);
    points[j + 1] = static_cast<coordT> (input_->points[(*indices_)[i]].y);
    points[j + 2] = static_cast<coordT> (input_->points[(*indices_)[i]].z);
  }

  // Compute convex hull
  int exitcode = qh_new_qhull (dimension, static_cast<int> (indices_->size ()), points, ismalloc, const_cast<char*> (flags), outfile, errfile);

  // 0 if no error from qhull
  if (exitcode != 0)
  {
    PCL_ERROR ("[pcl::%s::performReconstrution3D] ERROR: qhull was unable to compute a convex hull for the given point cloud (%zu)!\n", getClassName ().c_str (), input_->points.size ());

    hull.points.resize (0);
    hull.width = hull.height = 0;
    polygons.resize (0);

    qh_freeqhull (!qh_ALL);
    int curlong, totlong;
    qh_memfreeshort (&curlong, &totlong);

    return;
  }

  qh_triangulate ();

  int num_facets = qh num_facets;

  int num_vertices = qh num_vertices;
  hull.points.resize (num_vertices);

  vertexT * vertex;
  int i = 0;
  // Max vertex id
  int max_vertex_id = 0;
  FORALLvertices
  {
    if (vertex->id + 1 > max_vertex_id)
      max_vertex_id = vertex->id + 1;
  }

  ++max_vertex_id;
  std::vector<int> qhid_to_pcidx (max_vertex_id);

  FORALLvertices
  {
    // Add vertices to hull point_cloud
    hull.points[i] = input_->points[(*indices_)[qh_pointid (vertex->point)]];

    qhid_to_pcidx[vertex->id] = i; // map the vertex id of qhull to the point cloud index
    ++i;
  }

  if (compute_area_)
  {
    total_area_  = qh totarea;
    total_volume_ = qh totvol;
  }

  if (fill_polygon_data)
  {
    polygons.resize (num_facets);
    int dd = 0;

    facetT * facet;
    FORALLfacets
    {
      polygons[dd].vertices.resize (3);

      // Needed by FOREACHvertex_i_
      int vertex_n, vertex_i;
      FOREACHvertex_i_ ((*facet).vertices)
      //facet_vertices.vertices.push_back (qhid_to_pcidx[vertex->id]);
      polygons[dd].vertices[vertex_i] = qhid_to_pcidx[vertex->id];
      ++dd;
    }
  }
  // Deallocates memory (also the points)
  qh_freeqhull (!qh_ALL);
  int curlong, totlong;
  qh_memfreeshort (&curlong, &totlong);

  hull.width = static_cast<uint32_t> (hull.points.size ());
  hull.height = 1;
  hull.is_dense = false;
}
#ifdef __GNUC__
#pragma GCC diagnostic warning "-Wold-style-cast"
#endif

template <typename PointInT> void
pcl::ConvexHull<PointInT>::performReconstruction (PointCloud &hull, std::vector<pcl::Vertices> &polygons,
                                                  bool fill_polygon_data)
{
  if (dimension_ == 0)
    calculateInputDimension ();
  if (dimension_ == 2)
    performReconstruction2D (hull, polygons, fill_polygon_data);
  else if (dimension_ == 3)
    performReconstruction3D (hull, polygons, fill_polygon_data);
  else
    PCL_ERROR ("[pcl::%s::performReconstruction] Error: invalid input dimension requested: %d\n",getClassName ().c_str (),dimension_);
}

template <typename PointInT> void
pcl::ConvexHull<PointInT>::reconstruct (PointCloud &output)
{
  output.header = input_->header;
  if (!initCompute () || input_->points.empty () || indices_->empty ())
  {
    output.points.clear ();
    return;
  }

  // Perform the actual surface reconstruction
  std::vector<pcl::Vertices> polygons;
  performReconstruction (output, polygons, false);

  output.width = static_cast<uint32_t> (output.points.size ());
  output.height = 1;
  output.is_dense = true;

  deinitCompute ();
}


template <typename PointInT> void
pcl::ConvexHull<PointInT>::performReconstruction (PolygonMesh &output)
{
  // Perform reconstruction
  pcl::PointCloud<PointInT> hull_points;
  performReconstruction (hull_points, output.polygons, true);

  // Convert the PointCloud into a PointCloud2
  pcl::toROSMsg (hull_points, output.cloud);
}

template <typename PointInT> void
pcl::ConvexHull<PointInT>::performReconstruction (std::vector<pcl::Vertices> &polygons)
{
  pcl::PointCloud<PointInT> hull_points;
  performReconstruction (hull_points, polygons, true);
}

template <typename PointInT> void
pcl::ConvexHull<PointInT>::reconstruct (PointCloud &points, std::vector<pcl::Vertices> &polygons)
{
  points.header = input_->header;
  if (!initCompute () || input_->points.empty () || indices_->empty ())
  {
    points.points.clear ();
    return;
  }

  // Perform the actual surface reconstruction
  performReconstruction (points, polygons, true);

  points.width = static_cast<uint32_t> (points.points.size ());
  points.height = 1;
  points.is_dense = true;

  deinitCompute ();
}

#define PCL_INSTANTIATE_ConvexHull(T) template class PCL_EXPORTS pcl::ConvexHull<T>;

#endif    // PCL_SURFACE_IMPL_CONVEX_HULL_H_
#endif