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// This file is part of libigl, a simple c++ geometry processing library.
//
// Copyright (C) 2023 Alec Jacobson
//
// This Source Code Form is subject to the terms of the Mozilla Public License
// v. 2.0. If a copy of the MPL was not distributed with this file, You can
// obtain one at http://mozilla.org/MPL/2.0/.
#ifndef IGL_SPECTRA_LSCM_H
#define IGL_SPECTRA_LSCM_H
#include "../igl_inline.h"
#include <Eigen/Dense>
#include <Eigen/Sparse>
namespace igl
{
namespace spectra
{
/// Compute a free-boundary least-squares conformal map parametrization. Equivalently
/// derived in "Intrinsic Parameterizations of Surface Meshes" [Desbrun et al.
/// 2002] and "Least Squares Conformal Maps for Automatic Texture Atlas
/// Generation" [Lévy et al. 2002], though this implementation follows the
/// derivation in: "Spectral Conformal Parameterization" [Mullen et al. 2008]
/// Free boundary version. "Spectral Conformal Parameterization" using Eigen
/// decomposition. Assumes mesh is a single connected component topologically
/// equivalent to a chunk of the plane.
///
///
/// @param[in] V #V by 3 list of mesh vertex positions
/// @param[in] F #F by 3 list of mesh faces (must be triangles)
/// @param[out] UV #V by 2 list of 2D mesh vertex positions in UV space
/// @return true only on solver success.
///
template <
typename DerivedV,
typename DerivedF,
typename DerivedV_uv>
IGL_INLINE bool lscm(
const Eigen::MatrixBase<DerivedV> & V,
const Eigen::MatrixBase<DerivedF> & F,
Eigen::PlainObjectBase<DerivedV_uv> & V_uv);
}
}
#ifndef IGL_STATIC_LIBRARY
# include "lscm.cpp"
#endif
#endif