common.hpp

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 * $Id: common.hpp 4927 2012-03-07 03:35:53Z rusu $
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#ifndef PCL_COMMON_IMPL_H_
#define PCL_COMMON_IMPL_H_

#include <pcl/point_types.h>

inline double
pcl::getAngle3D (const Eigen::Vector4f &v1, const Eigen::Vector4f &v2)
{
  // Compute the actual angle
  double rad = v1.dot (v2) / sqrt (v1.squaredNorm () * v2.squaredNorm ());
  if (rad < -1.0) rad = -1.0;
  if (rad >  1.0) rad = 1.0;
  return (acos (rad));
}

inline void
pcl::getMeanStd (const std::vector<float> &values, double &mean, double &stddev)
{
  double sum = 0, sq_sum = 0;

  for (size_t i = 0; i < values.size (); ++i)
  {
    sum += values[i];
    sq_sum += values[i] * values[i];
  }
  mean = sum / static_cast<double>(values.size ());
  double variance = (sq_sum - sum * sum / static_cast<double>(values.size ())) / (static_cast<double>(values.size ()) - 1);
  stddev = sqrt (variance);
}

template <typename PointT> inline void
pcl::getPointsInBox (const pcl::PointCloud<PointT> &cloud, 
                     Eigen::Vector4f &min_pt, Eigen::Vector4f &max_pt,
                     std::vector<int> &indices)
{
  indices.resize (cloud.points.size ());
  int l = 0;

  // If the data is dense, we don't need to check for NaN
  if (cloud.is_dense)
  {
    for (size_t i = 0; i < cloud.points.size (); ++i)
    {
      // Check if the point is inside bounds
      if (cloud.points[i].x < min_pt[0] || cloud.points[i].y < min_pt[1] || cloud.points[i].z < min_pt[2])
        continue;
      if (cloud.points[i].x > max_pt[0] || cloud.points[i].y > max_pt[1] || cloud.points[i].z > max_pt[2])
        continue;
      indices[l++] = i;
    }
  }
  // NaN or Inf values could exist => check for them
  else
  {
    for (size_t i = 0; i < cloud.points.size (); ++i)
    {
      // Check if the point is invalid
      if (!pcl_isfinite (cloud.points[i].x) || 
          !pcl_isfinite (cloud.points[i].y) || 
          !pcl_isfinite (cloud.points[i].z))
        continue;
      // Check if the point is inside bounds
      if (cloud.points[i].x < min_pt[0] || cloud.points[i].y < min_pt[1] || cloud.points[i].z < min_pt[2])
        continue;
      if (cloud.points[i].x > max_pt[0] || cloud.points[i].y > max_pt[1] || cloud.points[i].z > max_pt[2])
        continue;
      indices[l++] = i;
    }
  }
  indices.resize (l);
}

template<typename PointT> inline void
pcl::getMaxDistance (const pcl::PointCloud<PointT> &cloud, const Eigen::Vector4f &pivot_pt, Eigen::Vector4f &max_pt)
{
  float max_dist = -FLT_MAX;
  float max_idx = -1;
  float dist;

  // If the data is dense, we don't need to check for NaN
  if (cloud.is_dense)
  {
    for (size_t i = 0; i < cloud.points.size (); ++i)
    {
      pcl::Vector4fMapConst pt = cloud.points[i].getVector4fMap ();
      dist = (pivot_pt - pt).norm ();
      if (dist > max_dist)
      {
        max_idx = i;
        max_dist = dist;
      }
    }
  }
  // NaN or Inf values could exist => check for them
  else
  {
    for (size_t i = 0; i < cloud.points.size (); ++i)
    {
      // Check if the point is invalid
      if (!pcl_isfinite (cloud.points[i].x) || !pcl_isfinite (cloud.points[i].y) || !pcl_isfinite (cloud.points[i].z))
        continue;
      pcl::Vector4fMapConst pt = cloud.points[i].getVector4fMap ();
      dist = (pivot_pt - pt).norm ();
      if (dist > max_dist)
      {
        max_idx = i;
        max_dist = dist;
      }
    }
  }

  max_pt = cloud.points[max_idx].getVector4fMap ();
}

template<typename PointT> inline void
pcl::getMaxDistance (const pcl::PointCloud<PointT> &cloud, const std::vector<int> &indices,
                     const Eigen::Vector4f &pivot_pt, Eigen::Vector4f &max_pt)
{
  float max_dist = -FLT_MAX;
  int max_idx = -1;
  float dist;

  // If the data is dense, we don't need to check for NaN
  if (cloud.is_dense)
  {
    for (size_t i = 0; i < indices.size (); ++i)
    {
      pcl::Vector4fMapConst pt = cloud.points[indices[i]].getVector4fMap ();
      dist = (pivot_pt - pt).norm ();
      if (dist > max_dist)
      {
        max_idx = static_cast<int> (i);
        max_dist = dist;
      }
    }
  }
  // NaN or Inf values could exist => check for them
  else
  {
    for (size_t i = 0; i < indices.size (); ++i)
    {
      // Check if the point is invalid
      if (!pcl_isfinite (cloud.points[indices[i]].x) || !pcl_isfinite (cloud.points[indices[i]].y)
          ||
          !pcl_isfinite (cloud.points[indices[i]].z))
        continue;

      pcl::Vector4fMapConst pt = cloud.points[indices[i]].getVector4fMap ();
      dist = (pivot_pt - pt).norm ();
      if (dist > max_dist)
      {
        max_idx = static_cast<int> (i);
        max_dist = dist;
      }
    }
  }

  max_pt = cloud.points[indices[max_idx]].getVector4fMap ();
}

template <typename PointT> inline void
pcl::getMinMax3D (const pcl::PointCloud<PointT> &cloud, PointT &min_pt, PointT &max_pt)
{
  Eigen::Array4f min_p, max_p;
  min_p.setConstant (FLT_MAX);
  max_p.setConstant (-FLT_MAX);

  // If the data is dense, we don't need to check for NaN
  if (cloud.is_dense)
  {
    for (size_t i = 0; i < cloud.points.size (); ++i)
    {
      pcl::Array4fMapConst pt = cloud.points[i].getArray4fMap ();
      min_p = min_p.min (pt);
      max_p = max_p.max (pt);
    }
  }
  // NaN or Inf values could exist => check for them
  else
  {
    for (size_t i = 0; i < cloud.points.size (); ++i)
    {
      // Check if the point is invalid
      if (!pcl_isfinite (cloud.points[i].x) || 
          !pcl_isfinite (cloud.points[i].y) || 
          !pcl_isfinite (cloud.points[i].z))
        continue;
      pcl::Array4fMapConst pt = cloud.points[i].getArray4fMap ();
      min_p = min_p.min (pt);
      max_p = max_p.max (pt);
    }
  }
  min_pt.x = min_p[0]; min_pt.y = min_p[1]; min_pt.z = min_p[2];
  max_pt.x = max_p[0]; max_pt.y = max_p[1]; max_pt.z = max_p[2];
}

template <typename PointT> inline void
pcl::getMinMax3D (const pcl::PointCloud<PointT> &cloud, Eigen::Vector4f &min_pt, Eigen::Vector4f &max_pt)
{
  Eigen::Array4f min_p, max_p;
  min_p.setConstant (FLT_MAX);
  max_p.setConstant (-FLT_MAX);

  // If the data is dense, we don't need to check for NaN
  if (cloud.is_dense)
  {
    for (size_t i = 0; i < cloud.points.size (); ++i)
    {
      pcl::Array4fMapConst pt = cloud.points[i].getArray4fMap ();
      min_p = min_p.min (pt);
      max_p = max_p.max (pt);
    }
  }
  // NaN or Inf values could exist => check for them
  else
  {
    for (size_t i = 0; i < cloud.points.size (); ++i)
    {
      // Check if the point is invalid
      if (!pcl_isfinite (cloud.points[i].x) || 
          !pcl_isfinite (cloud.points[i].y) || 
          !pcl_isfinite (cloud.points[i].z))
        continue;
      pcl::Array4fMapConst pt = cloud.points[i].getArray4fMap ();
      min_p = min_p.min (pt);
      max_p = max_p.max (pt);
    }
  }
  min_pt = min_p;
  max_pt = max_p;
}


template <typename PointT> inline void
pcl::getMinMax3D (const pcl::PointCloud<PointT> &cloud, const pcl::PointIndices &indices,
                  Eigen::Vector4f &min_pt, Eigen::Vector4f &max_pt)
{
  Eigen::Array4f min_p, max_p;
  min_p.setConstant (FLT_MAX);
  max_p.setConstant (-FLT_MAX);

  // If the data is dense, we don't need to check for NaN
  if (cloud.is_dense)
  {
    for (size_t i = 0; i < indices.indices.size (); ++i)
    {
      pcl::Array4fMapConst pt = cloud.points[indices.indices[i]].getArray4fMap ();
      min_p = min_p.min (pt);
      max_p = max_p.max (pt);
    }
  }
  // NaN or Inf values could exist => check for them
  else
  {
    for (size_t i = 0; i < indices.indices.size (); ++i)
    {
      // Check if the point is invalid
      if (!pcl_isfinite (cloud.points[indices.indices[i]].x) || 
          !pcl_isfinite (cloud.points[indices.indices[i]].y) || 
          !pcl_isfinite (cloud.points[indices.indices[i]].z))
        continue;
      pcl::Array4fMapConst pt = cloud.points[indices.indices[i]].getArray4fMap ();
      min_p = min_p.min (pt);
      max_p = max_p.max (pt);
    }
  }
  min_pt = min_p;
  max_pt = max_p;
}

template <typename PointT> inline void
pcl::getMinMax3D (const pcl::PointCloud<PointT> &cloud, const std::vector<int> &indices,
                  Eigen::Vector4f &min_pt, Eigen::Vector4f &max_pt)
{
  min_pt.setConstant (FLT_MAX);
  max_pt.setConstant (-FLT_MAX);

  // If the data is dense, we don't need to check for NaN
  if (cloud.is_dense)
  {
    for (size_t i = 0; i < indices.size (); ++i)
    {
      pcl::Array4fMapConst pt = cloud.points[indices[i]].getArray4fMap ();
      min_pt = min_pt.array ().min (pt);
      max_pt = max_pt.array ().max (pt);
    }
  }
  // NaN or Inf values could exist => check for them
  else
  {
    for (size_t i = 0; i < indices.size (); ++i)
    {
      // Check if the point is invalid
      if (!pcl_isfinite (cloud.points[indices[i]].x) || 
          !pcl_isfinite (cloud.points[indices[i]].y) || 
          !pcl_isfinite (cloud.points[indices[i]].z))
        continue;
      pcl::Array4fMapConst pt = cloud.points[indices[i]].getArray4fMap ();
      min_pt = min_pt.array ().min (pt);
      max_pt = max_pt.array ().max (pt);
    }
  }
}

template <typename PointT> inline double 
pcl::getCircumcircleRadius (const PointT &pa, const PointT &pb, const PointT &pc)
{
  Eigen::Vector4f p1 (pa.x, pa.y, pa.z, 0);
  Eigen::Vector4f p2 (pb.x, pb.y, pb.z, 0);
  Eigen::Vector4f p3 (pc.x, pc.y, pc.z, 0);

  double p2p1 = (p2 - p1).norm (), p3p2 = (p3 - p2).norm (), p1p3 = (p1 - p3).norm ();
  // Calculate the area of the triangle using Heron's formula 
  // (http://en.wikipedia.org/wiki/Heron's_formula)
  double semiperimeter = (p2p1 + p3p2 + p1p3) / 2.0;
  double area = sqrt (semiperimeter * (semiperimeter - p2p1) * (semiperimeter - p3p2) * (semiperimeter - p1p3));
  // Compute the radius of the circumscribed circle
  return ((p2p1 * p3p2 * p1p3) / (4.0 * area));
}

template <typename PointT> inline void 
pcl::getMinMax (const PointT &histogram, int len, float &min_p, float &max_p)
{
  min_p = FLT_MAX;
  max_p = -FLT_MAX;

  for (int i = 0; i < len; ++i)
  {
    min_p = (histogram[i] > min_p) ? min_p : histogram[i]; 
    max_p = (histogram[i] < max_p) ? max_p : histogram[i]; 
  }
}

#endif  //#ifndef PCL_COMMON_IMPL_H_