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41 lines
1.3 KiB
41 lines
1.3 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) 2022 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_MOMENTS_H
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#define IGL_MOMENTS_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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/// Computes the moments of mass for a solid object bound by a triangle mesh.
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///
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/// @param[in] V #V by 3 list of rest domain positions
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/// @param[in] F #F by 3 list of triangle indices into V
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/// @param[out] m0 zeroth moment of mass, total signed volume of solid.
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/// @param[out] m1 first moment of mass, center of mass (centroid) times total mass
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/// @param[out] m2 second moment of mass, moment of inertia with center of mass as reference point
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///
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/// \see centroid
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template <
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typename DerivedV,
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typename DerivedF,
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typename Derivedm0,
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typename Derivedm1,
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typename Derivedm2>
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IGL_INLINE void moments(
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const Eigen::MatrixBase<DerivedV>& V,
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const Eigen::MatrixBase<DerivedF>& F,
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Derivedm0 & m0,
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Eigen::PlainObjectBase<Derivedm1>& m1,
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Eigen::PlainObjectBase<Derivedm2>& m2);
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}
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#ifndef IGL_STATIC_LIBRARY
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# include "moments.cpp"
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#endif
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#endif
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