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Merged branch 'dev_native' into lm_sla_supports_auto

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Added igl library files
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Lukas Matena 2018-10-26 15:45:52 +02:00
commit 7681d00ee5
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src/igl/harmonic.h Normal file
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// This file is part of libigl, a simple c++ geometry processing library.
//
// Copyright (C) 2013 Alec Jacobson <alecjacobson@gmail.com>
//
// 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_HARMONIC_H
#define IGL_HARMONIC_H
#include "igl_inline.h"
#include <Eigen/Core>
#include <Eigen/Sparse>
namespace igl
{
// Compute k-harmonic weight functions "coordinates".
//
//
// Inputs:
// V #V by dim vertex positions
// F #F by simplex-size list of element indices
// b #b boundary indices into V
// bc #b by #W list of boundary values
// k power of harmonic operation (1: harmonic, 2: biharmonic, etc)
// Outputs:
// W #V by #W list of weights
//
template <
typename DerivedV,
typename DerivedF,
typename Derivedb,
typename Derivedbc,
typename DerivedW>
IGL_INLINE bool harmonic(
const Eigen::MatrixBase<DerivedV> & V,
const Eigen::MatrixBase<DerivedF> & F,
const Eigen::MatrixBase<Derivedb> & b,
const Eigen::MatrixBase<Derivedbc> & bc,
const int k,
Eigen::PlainObjectBase<DerivedW> & W);
// Compute harmonic map using uniform laplacian operator
//
// Inputs:
// F #F by simplex-size list of element indices
// b #b boundary indices into V
// bc #b by #W list of boundary values
// k power of harmonic operation (1: harmonic, 2: biharmonic, etc)
// Outputs:
// W #V by #W list of weights
//
template <
typename DerivedF,
typename Derivedb,
typename Derivedbc,
typename DerivedW>
IGL_INLINE bool harmonic(
const Eigen::MatrixBase<DerivedF> & F,
const Eigen::MatrixBase<Derivedb> & b,
const Eigen::MatrixBase<Derivedbc> & bc,
const int k,
Eigen::PlainObjectBase<DerivedW> & W);
// Compute a harmonic map using a given Laplacian and mass matrix
//
// Inputs:
// L #V by #V discrete (integrated) Laplacian
// M #V by #V mass matrix
// b #b boundary indices into V
// bc #b by #W list of boundary values
// k power of harmonic operation (1: harmonic, 2: biharmonic, etc)
// Outputs:
// W #V by #V list of weights
template <
typename DerivedL,
typename DerivedM,
typename Derivedb,
typename Derivedbc,
typename DerivedW>
IGL_INLINE bool harmonic(
const Eigen::SparseMatrix<DerivedL> & L,
const Eigen::SparseMatrix<DerivedM> & M,
const Eigen::MatrixBase<Derivedb> & b,
const Eigen::MatrixBase<Derivedbc> & bc,
const int k,
Eigen::PlainObjectBase<DerivedW> & W);
// Build the discrete k-harmonic operator (computing integrated quantities).
// That is, if the k-harmonic PDE is Q x = 0, then this minimizes x' Q x
//
// Inputs:
// L #V by #V discrete (integrated) Laplacian
// M #V by #V mass matrix
// k power of harmonic operation (1: harmonic, 2: biharmonic, etc)
// Outputs:
// Q #V by #V discrete (integrated) k-Laplacian
template <
typename DerivedL,
typename DerivedM,
typename DerivedQ>
IGL_INLINE void harmonic(
const Eigen::SparseMatrix<DerivedL> & L,
const Eigen::SparseMatrix<DerivedM> & M,
const int k,
Eigen::SparseMatrix<DerivedQ> & Q);
// Inputs:
// V #V by dim vertex positions
// F #F by simplex-size list of element indices
// k power of harmonic operation (1: harmonic, 2: biharmonic, etc)
// Outputs:
// Q #V by #V discrete (integrated) k-Laplacian
template <
typename DerivedV,
typename DerivedF,
typename DerivedQ>
IGL_INLINE void harmonic(
const Eigen::MatrixBase<DerivedV> & V,
const Eigen::MatrixBase<DerivedF> & F,
const int k,
Eigen::SparseMatrix<DerivedQ> & Q);
};
#ifndef IGL_STATIC_LIBRARY
#include "harmonic.cpp"
#endif
#endif