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44 lines
1.8 KiB
44 lines
1.8 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 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_PLANARIZE_QUAD_MESH_H
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#define IGL_PLANARIZE_QUAD_MESH_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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/// Planarizes a given quad mesh using the algorithm described in the paper
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/// "Shape-Up: Shaping Discrete Geometry with Projections" by S. Bouaziz,
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/// M. Deuss, Y. Schwartzburg, T. Weise, M. Pauly, Computer Graphics Forum,
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/// Volume 31, Issue 5, August 2012, p. 1657-1667
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/// (http://dl.acm.org/citation.cfm?id=2346802).
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/// The algorithm iterates between projecting each quad to its closest planar
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/// counterpart and stitching those quads together via a least squares
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/// optimization. It stops whenever all quads' non-planarity is less than a
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/// given threshold (suggested value: 0.01), or a maximum number of iterations
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/// is reached.
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///
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/// @param[in] Vin #V by 3 eigen Matrix of mesh vertex 3D positions
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/// @param[in] F #F by 4 eigen Matrix of face (quad) indices
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/// @param[in] maxIter maximum numbers of iterations
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/// @param[in] threshold minimum allowed threshold for non-planarity
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/// @param[out] Vout #V by 3 eigen Matrix of planar mesh vertex 3D positions
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///
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template <typename DerivedV, typename DerivedF>
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IGL_INLINE void planarize_quad_mesh(
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const Eigen::MatrixBase<DerivedV> &Vin,
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const Eigen::MatrixBase<DerivedF> &F,
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const int maxIter,
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const double &threshold,
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Eigen::PlainObjectBase<DerivedV> &Vout);
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}
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#ifndef IGL_STATIC_LIBRARY
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# include "planarize_quad_mesh.cpp"
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#endif
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#endif
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