libigl_Martin/include/igl/cgal/point_mesh_squared_distance.h

// This file is part of libigl, a simple c++ geometry processing library.
// 
// Copyright (C) 2014 Alec Jacobson <alecjacobson@gmail.com>
// 
// This Source Code Form is subject to the terms of the Mozilla Public License 
// v. 2.0. If a copy of the MPL was not distributed with this file, You can 
// obtain one at http://mozilla.org/MPL/2.0/.
#ifndef IGL_POINT_MESH_SQUARED_DISTANCE_H
#define IGL_POINT_MESH_SQUARED_DISTANCE_H
#include <igl/igl_inline.h>
#include <Eigen/Core>
#include <vector>
#include "CGAL_includes.hpp"
namespace igl
{
  // Compute distances from a set of points P to a triangle mesh (V,F)
  //
  // Templates:
  //   Kernal  CGAL computation and construction kernel (e.g.
  //     CGAL::Simple_cartesian<double>)
  // Inputs:
  //   P  #P by 3 list of query point positions
  //   V  #V by 3 list of vertex positions
  //   F  #F by 3 list of triangle indices
  // Outputs:
  //   sqrD  #P list of smallest squared distances
  //   I  #P list of facet indices corresponding to smallest distances
  //   C  #P by 3 list of closest points
  //
  // Known bugs: This only computes distances to triangles. So unreferenced
  // vertices and degenerate triangles (segments) are ignored.
  template <typename Kernel>
  IGL_INLINE void point_mesh_squared_distance(
    const Eigen::MatrixXd & P,
    const Eigen::MatrixXd & V,
    const Eigen::MatrixXi & F,
    Eigen::VectorXd & sqrD,
    Eigen::VectorXi & I,
    Eigen::MatrixXd & C);
  // Probably can do this in a way that we don't pass around `tree` and `T`
  //
  // Outputs:
  //   tree  CGAL's AABB tree
  //   T  list of CGAL triangles in order of F (for determining which was found
  //     in computation)
  template <typename Kernel>
  IGL_INLINE void point_mesh_squared_distance_precompute(
    const Eigen::MatrixXd & V,
    const Eigen::MatrixXi & F,
    CGAL::AABB_tree<
      CGAL::AABB_traits<Kernel, 
        CGAL::AABB_triangle_primitive<Kernel, 
          typename std::vector<CGAL::Triangle_3<Kernel> >::iterator
        >
      >
    > & tree,
    std::vector<CGAL::Triangle_3<Kernel> > & T);
  // Inputs:
  //  see above
  // Outputs:
  //  see above
  template <typename Kernel>
  IGL_INLINE void point_mesh_squared_distance(
    const Eigen::MatrixXd & P,
    const CGAL::AABB_tree<
      CGAL::AABB_traits<Kernel, 
        CGAL::AABB_triangle_primitive<Kernel, 
          typename std::vector<CGAL::Triangle_3<Kernel> >::iterator
        >
      >
    > & tree,
    const std::vector<CGAL::Triangle_3<Kernel> > & T,
    Eigen::VectorXd & sqrD,
    Eigen::VectorXi & I,
    Eigen::MatrixXd & C);

}

#ifndef IGL_STATIC_LIBRARY
#  include "point_mesh_squared_distance.cpp"
#endif

#endif