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// This file is part of libigl, a simple c++ geometry processing library.
//
// Copyright (C) 2016 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_SWEPT_VOLUME_SIGNED_DISTANCE_H
#define IGL_SWEPT_VOLUME_SIGNED_DISTANCE_H
#include "igl_inline.h"
#include <Eigen/Core>
#include <Eigen/Geometry>
#include <functional>
namespace igl
{
/// Compute the signed distance to a sweep surface of a mesh under-going
/// an arbitrary motion V(t) discretely sampled at `steps`-many moments in
/// time at a grid.
///
/// @param[in] V #V by 3 list of mesh positions in reference pose
/// @param[in] F #F by 3 list of triangle indices [0,n)
/// @param[in] transform function handle so that transform(t) returns the rigid
/// transformation at time t∈[0,1]
/// @param[in] steps number of time steps: steps=3 --> t∈{0,0.5,1}
/// @param[in] GV #GV by 3 list of evaluation point grid positions
/// @param[in] res 3-long resolution of GV grid
/// @param[in] h edge-length of grid
/// @param[in] isolevel isolevel to "focus" on; grid positions far enough away from
/// isolevel (based on h) will get approximate values). Set
/// isolevel=infinity to get good values everywhere (slow and
/// unnecessary if just trying to extract isolevel-level set).
/// @param[in] S0 #GV initial values (will take minimum with these), can be same
/// as S)
/// @param[out] S #GV list of signed distances
IGL_INLINE void swept_volume_signed_distance(
const Eigen::MatrixXd & V,
const Eigen::MatrixXi & F,
const std::function<Eigen::Affine3d(const double t)> & transform,
const size_t & steps,
const Eigen::MatrixXd & GV,
const Eigen::RowVector3i & res,
const double h,
const double isolevel,
const Eigen::VectorXd & S0,
Eigen::VectorXd & S);
/// \overload
IGL_INLINE void swept_volume_signed_distance(
const Eigen::MatrixXd & V,
const Eigen::MatrixXi & F,
const std::function<Eigen::Affine3d(const double t)> & transform,
const size_t & steps,
const Eigen::MatrixXd & GV,
const Eigen::RowVector3i & res,
const double h,
const double isolevel,
Eigen::VectorXd & S);
}
#ifndef IGL_STATIC_LIBRARY
# include "swept_volume_signed_distance.cpp"
#endif
#endif