112 lines
3.5 KiB
112 lines
3.5 KiB
// This file is part of libigl, a simple c++ geometry processing library.
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//
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// Copyright (C) 2013 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_ARAP_H
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#define IGL_ARAP_H
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#include "igl_inline.h"
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#include "min_quad_with_fixed.h"
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#include "ARAPEnergyType.h"
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#include <Eigen/Core>
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#include <Eigen/Sparse>
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namespace igl
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{
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struct ARAPData
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{
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// n #V
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// G #V list of group indices (1 to k) for each vertex, such that vertex i
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// is assigned to group G(i)
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// energy type of energy to use
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// with_dynamics whether using dynamics (need to call arap_precomputation
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// after changing)
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// f_ext #V by dim list of external forces
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// vel #V by dim list of velocities
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// h dynamics time step
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// ym ~Young's modulus smaller is softer, larger is more rigid/stiff
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// max_iter maximum inner iterations
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// K rhs pre-multiplier
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// M mass matrix
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// solver_data quadratic solver data
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// b list of boundary indices into V
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// dim dimension being used for solving
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int n;
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Eigen::VectorXi G;
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ARAPEnergyType energy;
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bool with_dynamics;
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Eigen::MatrixXd f_ext,vel;
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double h;
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double ym;
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int max_iter;
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Eigen::SparseMatrix<double> K,M;
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Eigen::SparseMatrix<double> CSM;
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min_quad_with_fixed_data<double> solver_data;
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Eigen::VectorXi b;
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int dim;
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ARAPData():
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n(0),
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G(),
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energy(ARAP_ENERGY_TYPE_DEFAULT),
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with_dynamics(false),
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f_ext(),
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h(1),
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ym(1),
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max_iter(10),
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K(),
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CSM(),
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solver_data(),
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b(),
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dim(-1) // force this to be set by _precomputation
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{
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};
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};
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// Compute necessary information to start using an ARAP deformation
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//
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// Inputs:
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// V #V by dim list of mesh positions
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// F #F by simplex-size list of triangle|tet indices into V
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// dim dimension being used at solve time. For deformation usually dim =
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// V.cols(), for surface parameterization V.cols() = 3 and dim = 2
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// b #b list of "boundary" fixed vertex indices into V
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// Outputs:
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// data struct containing necessary precomputation
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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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IGL_INLINE bool arap_precomputation(
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const Eigen::MatrixBase<DerivedV> & V,
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const Eigen::MatrixBase<DerivedF> & F,
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const int dim,
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const Eigen::MatrixBase<Derivedb> & b,
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ARAPData & data);
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// Inputs:
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// bc #b by dim list of boundary conditions
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// data struct containing necessary precomputation and parameters
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// U #V by dim initial guess
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//
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// NOTE: While the libigl guidelines require outputs to be of type
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// PlainObjectBase so that the user does not need to worry about allocating
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// memory for the output, in this case, the user is required to give an initial
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// guess and hence fix the size of the problem domain.
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// Taking a reference to MatrixBase in this case thus allows the user to provide e.g.
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// a map to the position data, allowing seamless interoperability with user-defined
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// datastructures without requiring a copy.
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template <
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typename Derivedbc,
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typename DerivedU>
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IGL_INLINE bool arap_solve(
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const Eigen::MatrixBase<Derivedbc> & bc,
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ARAPData & data,
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Eigen::MatrixBase<DerivedU> & U);
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};
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#ifndef IGL_STATIC_LIBRARY
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#include "arap.cpp"
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#endif
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#endif
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