50 lines
1.7 KiB
C++
50 lines
1.7 KiB
C++
// This file is part of libigl, a simple c++ geometry processing library.
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//
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// Copyright (C) 2014 Daniele Panozzo <daniele.panozzo@gmail.com>
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// 2015 Alec Jacobson
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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_LSCM_H
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#define IGL_LSCM_H
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#include "igl_inline.h"
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#include <Eigen/Dense>
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#include <Eigen/Sparse>
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namespace igl
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{
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// Compute a Least-squares conformal map parametrization (equivalently
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// derived in "Intrinsic Parameterizations of Surface Meshes" [Desbrun et al.
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// 2002] and "Least Squares Conformal Maps for Automatic Texture Atlas
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// Generation" [Lévy et al. 2002]), though this implementation follows the
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// derivation in: "Spectral Conformal Parameterization" [Mullen et al. 2008]
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// (note, this does **not** implement the Eigen-decomposition based method in
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// [Mullen et al. 2008], which is not equivalent). Input should be a manifold
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// mesh (also no unreferenced vertices) and "boundary" (fixed vertices) `b`
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// should contain at least two vertices per connected component.
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//
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// Inputs:
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// V #V by 3 list of mesh vertex positions
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// F #F by 3 list of mesh faces (must be triangles)
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// b #b boundary indices into V
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// bc #b by 3 list of boundary values
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// Outputs:
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// UV #V by 2 list of 2D mesh vertex positions in UV space
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// Returns true only on solver success.
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//
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IGL_INLINE bool lscm(
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const Eigen::MatrixXd& V,
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const Eigen::MatrixXi& F,
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const Eigen::VectorXi& b,
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const Eigen::MatrixXd& bc,
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Eigen::MatrixXd& V_uv);
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}
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#ifndef IGL_STATIC_LIBRARY
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# include "lscm.cpp"
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#endif
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#endif
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