45 lines
1.4 KiB
C++
45 lines
1.4 KiB
C++
// This file is part of libigl, a simple c++ geometry processing library.
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//
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// Copyright (C) 2015 Alec Jacobson <alecjacobson@gmail.com>
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//
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// This Source Code Form is subject to the terms of the Mozilla Public License
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// v. 2.0. If a copy of the MPL was not distributed with this file, You can
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// obtain one at http://mozilla.org/MPL/2.0/.
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#ifndef IGL_NORMAL_DERIVATIVE_H
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#define IGL_NORMAL_DERIVATIVE_H
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#include "igl_inline.h"
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#include <Eigen/Core>
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#include <Eigen/Sparse>
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namespace igl
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{
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// NORMAL_DERIVATIVE Computes the directional derivative **normal** to
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// **all** (half-)edges of a triangle mesh (not just boundary edges). These
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// are integrated along the edge: they're the per-face constant gradient dot
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// the rotated edge vector (unit rotated edge vector for direction then
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// magnitude for integration).
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//
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// Inputs:
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// V #V by dim list of mesh vertex positions
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// F #F by 3|4 list of triangle|tetrahedron indices into V
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// Outputs:
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// DD #F*3|4 by #V sparse matrix representing operator to compute
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// directional derivative with respect to each facet of each element.
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//
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template <
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typename DerivedV,
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typename DerivedEle,
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typename Scalar>
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IGL_INLINE void normal_derivative(
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const Eigen::PlainObjectBase<DerivedV> & V,
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const Eigen::PlainObjectBase<DerivedEle> & Ele,
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Eigen::SparseMatrix<Scalar>& DD);
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}
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#ifndef IGL_STATIC_LIBRARY
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# include "normal_derivative.cpp"
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#endif
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#endif
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