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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) 2017 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_BIJECTIVE_COMPOSITE_HARMONIC_MAPPING_H
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+#define IGL_BIJECTIVE_COMPOSITE_HARMONIC_MAPPING_H
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+#include "igl_inline.h"
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+#include <Eigen/Core>
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+
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+namespace igl
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+{
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+ // Compute a planar mapping of a triangulated polygon (V,F) subjected to
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+ // boundary conditions (b,bc). The mapping should be bijective in the sense
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+ // that no triangles' areas become negative (this assumes they started
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+ // positive). This mapping is computed by "composing" harmonic mappings
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+ // between incremental morphs of the boundary conditions. This is a bit like
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+ // a discrete version of "Bijective Composite Mean Value Mappings" [Schneider
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+ // et al. 2013] but with a discrete harmonic map (cf. harmonic coordinates)
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+ // instead of mean value coordinates. This is inspired by "Embedding a
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+ // triangular graph within a given boundary" [Xu et al. 2011].
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+ //
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+ // Inputs:
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+ // V #V by 2 list of triangle mesh vertex positions
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+ // F #F by 3 list of triangle indices into V
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+ // b #b list of boundary indices into V
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+ // bc #b by 2 list of boundary conditions corresponding to b
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+ // Outputs:
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+ // U #V by 2 list of output mesh vertex locations
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+ // Returns true if and only if U contains a successfull bijectie mapping
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+ //
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+ //
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+ template <
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+ typename DerivedV,
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+ typename DerivedF,
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+ typename Derivedb,
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+ typename Derivedbc,
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+ typename DerivedU>
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+ IGL_INLINE bool bijective_composite_harmonic_mapping(
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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<Derivedb> & b,
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+ const Eigen::MatrixBase<Derivedbc> & bc,
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+ Eigen::PlainObjectBase<DerivedU> & U);
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+}
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+
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+#ifndef IGL_STATIC_LIBRARY
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+# include "bijective_composite_harmonic_mapping.cpp"
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+#endif
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+#endif
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Alec Jacobson