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80 lines
3.3 KiB
80 lines
3.3 KiB
1 year ago
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// This file is part of libigl, a simple c++ geometry processing library.
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//
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// Copyright (C) 2013 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_PER_FACE_NORMALS_H
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#define IGL_PER_FACE_NORMALS_H
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#include "igl_inline.h"
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#include <Eigen/Core>
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namespace igl
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{
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/// Compute face normals via vertex position list, face list
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///
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/// @param[in] V #V by 3 eigen Matrix of mesh vertex 3D positions
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/// @param[in] F #F by 3 eigen Matrix of face (triangle) indices
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/// @param[in] Z 3 vector normal given to faces with degenerate normal.
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/// @param[out] N #F by 3 eigen Matrix of mesh face (triangle) 3D normals
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///
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/// #### Example
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/// // Give degenerate faces (1/3,1/3,1/3)^0.5
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/// per_face_normals(V,F,Vector3d(1,1,1).normalized(),N);
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template <typename DerivedV, typename DerivedF, typename DerivedZ, typename DerivedN>
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IGL_INLINE void per_face_normals(
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const Eigen::MatrixBase<DerivedV>& V,
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const Eigen::MatrixBase<DerivedF>& F,
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const Eigen::MatrixBase<DerivedZ> & Z,
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Eigen::PlainObjectBase<DerivedN> & N);
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/// \overload
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/// \brief Wrapper with Z = (0,0,0). Note that this means that row norms will be zero
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/// (i.e. not 1) for degenerate normals.
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template <typename DerivedV, typename DerivedF, typename DerivedN>
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IGL_INLINE void per_face_normals(
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const Eigen::MatrixBase<DerivedV>& V,
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const Eigen::MatrixBase<DerivedF>& F,
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Eigen::PlainObjectBase<DerivedN> & N);
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/// \overload
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/// \brief Special version where order of face indices is guaranteed not to effect
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/// output.
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template <typename DerivedV, typename DerivedF, typename DerivedN>
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IGL_INLINE void per_face_normals_stable(
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const Eigen::MatrixBase<DerivedV>& V,
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const Eigen::MatrixBase<DerivedF>& F,
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Eigen::PlainObjectBase<DerivedN> & N);
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/// Per face normals for a general polygon mesh
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/// @param[in] V #V by 3 list of mesh vertex positions
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/// @param[in] I #I vectorized list of polygon corner indices into rows of some matrix V
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/// @param[in] C #polygons+1 list of cumulative polygon sizes so that C(i+1)-C(i) = size of
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/// the ith polygon, and so I(C(i)) through I(C(i+1)-1) are the indices of
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/// the ith polygon
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/// @param[in] corner_threshold threshold in degrees on sharp angles
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/// @param[out] N #polygons by 3 list of per face normals
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/// @param[out] VV #I+#polygons by 3 list of auxiliary triangle mesh vertex positions
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/// @param[out] FF #I by 3 list of triangle indices into rows of VV
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/// @param[out] J #I list of indices into original polygons
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template <
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typename DerivedV,
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typename DerivedI,
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typename DerivedC,
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typename DerivedN,
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typename DerivedVV,
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typename DerivedFF,
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typename DerivedJ>
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IGL_INLINE void per_face_normals(
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const Eigen::MatrixBase<DerivedV> & V,
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const Eigen::MatrixBase<DerivedI> & I,
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const Eigen::MatrixBase<DerivedC> & C,
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Eigen::PlainObjectBase<DerivedN> & N,
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Eigen::PlainObjectBase<DerivedVV> & VV,
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Eigen::PlainObjectBase<DerivedFF> & FF,
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Eigen::PlainObjectBase<DerivedJ> & J);
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}
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#ifndef IGL_STATIC_LIBRARY
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# include "per_face_normals.cpp"
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#endif
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#endif
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