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49 lines
1.7 KiB
49 lines
1.7 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) 2015 Olga Diamanti <olga.diam@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_PARALLEL_TRANSPORT_ANGLE
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#define IGL_PARALLEL_TRANSPORT_ANGLE
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#include "igl_inline.h"
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#include <Eigen/Core>
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#include <vector>
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namespace igl {
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/// Given the per-face local bases computed via igl::local_basis, this function
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/// computes the angle between the two reference frames across each edge.
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/// Any two vectors across the edge whose 2D representation only differs by
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/// this angle are considered to be parallel.
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///
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/// @param[in] V #V by 3 list of mesh vertex coordinates
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/// @param[in] F #F by 3 list of mesh faces (must be triangles)
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/// @param[in] FN #F by 3 list of face normals
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/// @param[in] E2F #E by 2 list of the edge-to-face relation (e.g. computed
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/// via igl::edge_topology)
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/// @param[in] F2E #F by 3 list of the face-to-edge relation (e.g. computed
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/// @param[out] K #E by 1 list of the parallel transport angles (zero
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/// for all boundary edges)
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///
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template <typename DerivedV, typename DerivedF, typename DerivedK>
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IGL_INLINE void parallel_transport_angles(
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const Eigen::PlainObjectBase<DerivedV>&V,
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const Eigen::PlainObjectBase<DerivedF>&F,
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const Eigen::PlainObjectBase<DerivedV>&FN,
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const Eigen::MatrixXi &E2F,
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const Eigen::MatrixXi &F2E,
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Eigen::PlainObjectBase<DerivedK>&K);
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};
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#ifndef IGL_STATIC_LIBRARY
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#include "parallel_transport_angles.cpp"
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#endif
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#endif /* defined(IGL_PARALLEL_TRANSPORT_ANGLE) */
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