102 lines
3.4 KiB
C
102 lines
3.4 KiB
C
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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) 2018 Zhongshi Jiang <jiangzs@nyu.edu>
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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_SCAF_H
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#define IGL_SCAF_H
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#include "slim.h"
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#include "igl_inline.h"
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#include "MappingEnergyType.h"
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namespace igl
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{
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// Use a similar interface to igl::slim
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// Implement ready-to-use 2D version of the algorithm described in
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// SCAF: Simplicial Complex Augmentation Framework for Bijective Maps
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// Zhongshi Jiang, Scott Schaefer, Daniele Panozzo, ACM Trancaction on Graphics (Proc. SIGGRAPH Asia 2017)
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// For a complete implementation and customized UI, please refer to https://github.com/jiangzhongshi/scaffold-map
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struct SCAFData
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{
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double scaffold_factor = 10;
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igl::MappingEnergyType scaf_energy = igl::MappingEnergyType::SYMMETRIC_DIRICHLET;
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igl::MappingEnergyType slim_energy = igl::MappingEnergyType::SYMMETRIC_DIRICHLET;
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// Output
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int dim = 2;
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double total_energy; // scaffold + isometric
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double energy; // objective value
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long mv_num = 0, mf_num = 0;
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long sv_num = 0, sf_num = 0;
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long v_num{}, f_num = 0;
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Eigen::MatrixXd m_V; // input initial mesh V
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Eigen::MatrixXi m_T; // input initial mesh F/T
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// INTERNAL
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Eigen::MatrixXd w_uv; // whole domain uv: mesh + free vertices
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Eigen::MatrixXi s_T; // scaffold domain tets: scaffold tets
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Eigen::MatrixXi w_T;
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Eigen::VectorXd m_M; // mesh area or volume
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Eigen::VectorXd s_M; // scaffold area or volume
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Eigen::VectorXd w_M; // area/volume weights for whole
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double mesh_measure; // area or volume
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double proximal_p = 0;
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Eigen::VectorXi frame_ids;
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Eigen::VectorXi fixed_ids;
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std::map<int, Eigen::RowVectorXd> soft_cons;
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double soft_const_p = 1e4;
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Eigen::VectorXi internal_bnd;
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Eigen::MatrixXd rect_frame_V;
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// multi-chart support
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std::vector<int> component_sizes;
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std::vector<int> bnd_sizes;
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// reweightedARAP interior variables.
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bool has_pre_calc = false;
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Eigen::SparseMatrix<double> Dx_s, Dy_s, Dz_s;
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Eigen::SparseMatrix<double> Dx_m, Dy_m, Dz_m;
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Eigen::MatrixXd Ri_m, Ji_m, Ri_s, Ji_s;
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Eigen::MatrixXd W_m, W_s;
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};
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// Compute necessary information to start using SCAF
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// Inputs:
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// V #V by 3 list of mesh vertex positions
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// F #F by 3/3 list of mesh faces (triangles/tets)
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// data igl::SCAFData
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// slim_energy Energy type to minimize
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// b list of boundary indices into V (soft constraint)
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// bc #b by dim list of boundary conditions (soft constraint)
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// soft_p Soft penalty factor (can be zero)
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IGL_INLINE void scaf_precompute(
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const Eigen::MatrixXd &V,
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const Eigen::MatrixXi &F,
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const Eigen::MatrixXd &V_init,
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SCAFData &data,
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MappingEnergyType slim_energy,
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Eigen::VectorXi& b,
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Eigen::MatrixXd& bc,
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double soft_p);
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// Run iter_num iterations of SCAF, with precomputed data
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// Outputs:
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// V_o (in SLIMData): #V by dim list of mesh vertex positions
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IGL_INLINE Eigen::MatrixXd scaf_solve(SCAFData &data, int iter_num);
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}
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#ifndef IGL_STATIC_LIBRARY
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# include "scaf.cpp"
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#endif
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#endif //IGL_SCAF_H
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