45 lines
1.4 KiB
C
45 lines
1.4 KiB
C
|
// This file is part of libigl, a simple c++ geometry processing library.
|
||
|
|
//
|
||
|
|
// Copyright (C) 2015 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_NORMAL_DERIVATIVE_H
|
||
|
|
#define IGL_NORMAL_DERIVATIVE_H
|
||
|
|
#include "igl_inline.h"
|
||
|
|
|
||
|
|
#include <Eigen/Core>
|
||
|
|
#include <Eigen/Sparse>
|
||
|
|
namespace igl
|
||
|
|
{
|
||
|
|
// NORMAL_DERIVATIVE Computes the directional derivative **normal** to
|
||
|
|
// **all** (half-)edges of a triangle mesh (not just boundary edges). These
|
||
|
|
// are integrated along the edge: they're the per-face constant gradient dot
|
||
|
|
// the rotated edge vector (unit rotated edge vector for direction then
|
||
|
|
// magnitude for integration).
|
||
|
|
//
|
||
|
|
// Inputs:
|
||
|
|
// V #V by dim list of mesh vertex positions
|
||
|
|
// F #F by 3|4 list of triangle|tetrahedron indices into V
|
||
|
|
// Outputs:
|
||
|
|
// DD #F*3|4 by #V sparse matrix representing operator to compute
|
||
|
|
// directional derivative with respect to each facet of each element.
|
||
|
|
//
|
||
|
|
template <
|
||
|
|
typename DerivedV,
|
||
|
|
typename DerivedEle,
|
||
|
|
typename Scalar>
|
||
|
|
IGL_INLINE void normal_derivative(
|
||
|
|
const Eigen::PlainObjectBase<DerivedV> & V,
|
||
|
|
const Eigen::PlainObjectBase<DerivedEle> & Ele,
|
||
|
|
Eigen::SparseMatrix<Scalar>& DD);
|
||
|
|
}
|
||
|
|
|
||
|
|
#ifndef IGL_STATIC_LIBRARY
|
||
|
|
# include "normal_derivative.cpp"
|
||
|
|
#endif
|
||
|
|
|
||
|
|
#endif
|
||
|
|
|