├── .gitignore ├── .gitmodules ├── README.md ├── cpp ├── CMakeLists.txt ├── cmake │ ├── FindLIBIGL.cmake │ ├── FindMatlab.cmake │ ├── FindPackageHandleStandardArgs.cmake │ ├── FindPackageMessage.cmake │ └── vem.cmake ├── include │ ├── BartelsTypes.h │ ├── EigenTypes.h │ ├── d2psi_neohookean_dF2.h │ ├── dpsi_neohookean_dF.h │ ├── flatten.h │ ├── flatten_multiply.h │ ├── linesearch_backtracking_bisection.h │ ├── optimization_gradient_based.h │ ├── parse_matlab_cells.h │ ├── psi_neohookean_F.h │ ├── vem3d_neohookean_dq2.h │ ├── vem3d_neohookean_q.h │ ├── vem3dmesh_neohookean_dq.h │ ├── vem3dmesh_neohookean_dq2.h │ ├── vem3dmesh_neohookean_q.h │ ├── vem3dmesh_polynomial_coefficients.h │ ├── vem3dmesh_simulate_one_step.h │ ├── vem_error_matrix.h │ ├── vem_ext_force.h │ └── vem_mass_matrix.h └── src │ ├── d2psi_neohookean_dF2.cpp │ ├── dpsi_neohookean_dF.cpp │ ├── flatten_multiply.cpp │ ├── linesearch_backtracking_bisection.cpp │ ├── optimization_gradient_based.cpp │ ├── psi_neohookean_F.cpp │ ├── vem3d_neohookean_dq2.cpp │ ├── vem3dmesh_neohookean_dq.cpp │ ├── vem3dmesh_neohookean_dq2.cpp │ ├── vem3dmesh_neohookean_q.cpp │ ├── vem3dmesh_polynomial_coefficients.cpp │ ├── vem3dmesh_simulate_one_step.cpp │ ├── vem_error_matrix.cpp │ ├── vem_ext_force.cpp │ └── vem_mass_matrix.cpp ├── examples ├── README.md ├── beam_twist.m ├── grumpy.m ├── linear_lamppost.m ├── linear_mug.m ├── linear_mug_implicit.m ├── linear_rocket.m ├── linear_rocket_with_collision.m ├── linear_rocket_with_nose.m ├── linear_rounded_cube.m ├── linear_subD_puft_body.m ├── linear_subD_rocket.m ├── linear_subD_torus.m ├── linear_trimmed_cylinder.m ├── linear_trimmed_cylinder_with_collision.m ├── linear_trimmed_mug.m ├── linear_trimmed_mug_with_collision.m ├── linear_trimmed_wrench.m ├── linear_trimmed_wrench_with_collision.m ├── octopus.m ├── quadratic_beam.m ├── quadratic_castle_cut_with_collision.m ├── quadratic_castle_with_collision.m ├── quadratic_chicken_with_collision.m ├── quadratic_puft_with_collision.m ├── quadratic_rigid_mug_with_collision.m ├── quadratic_rocket_soft_with_collision.m ├── quadratic_rounded_cube.m ├── quadratic_trimmed_mug_with_collision.m ├── starship_collision.m ├── tire_multi_material.m └── vem_sim_2d.m ├── figures ├── deflection_test.m ├── deflection_test_step.m ├── patch_test_2d.m ├── plot_distance_weight.m ├── raycasting_integrate_volume.m ├── render_puft_distance_weight.m ├── scalability_test.m ├── scalability_test_step.m ├── slice_distance_weight.m └── test_slice_tets.m ├── matlab ├── .gitignore ├── CMakeLists.txt ├── basis_size.m ├── blending_weights_2d.m ├── build_weight_matrix.m ├── cantileaver_sim.m ├── compute_shape_matrices.m ├── cutoff_heuristic.m ├── deprecated │ ├── cube_anim_example.m │ ├── experiments │ │ ├── fitting_girrafe.m │ │ ├── mincut.m │ │ ├── test_cutoff_heuristic.m │ │ ├── test_flow.m │ │ ├── test_hcs.m │ │ ├── test_normals.m │ │ ├── test_nurbs_cube_animation.m │ │ ├── test_nurbs_quadrature.m │ │ ├── test_raycast_mug.m │ │ ├── test_trimmed_nurbs.m │ │ ├── test_trimmed_nurbs_2.m │ │ ├── test_weight_grad.m │ │ ├── vem_2d_test_matching.m │ │ ├── vem_fitting_test.m │ │ ├── vem_fitting_test2.m │ │ ├── vem_fitting_test_beam.m │ │ ├── vem_fitting_test_beam_to_fem.m │ │ ├── vem_fitting_test_beam_to_fem2.m │ │ └── vem_sim_2d_test_lowrank.m │ ├── vem3dmesh_neohookean_dq_matlab.m │ ├── vem_error_matrix_matlab.m │ ├── vem_mass_matrix_matlab.m │ ├── vem_sim_cube_anim.m │ ├── vem_sim_gumby.m │ ├── vem_sim_lamppost.m │ ├── vem_sim_tire.m │ ├── vem_simulate_nurbs_constraint.m │ ├── vem_simulate_nurbs_fmincon_debug.m │ ├── vem_simulate_nurbs_implicit.m │ ├── vem_simulate_nurbs_with_collision.m │ ├── vem_simulate_nurbs_with_collision_debug.m │ ├── vem_simulate_nurbs_with_collision_old.m │ └── write_obj_per_part.m ├── distance_weights.m ├── generate_com.m ├── mex │ ├── ray_mesh_intersections.cpp │ ├── ray_mesh_intersections.m │ ├── vem3dmesh_neohookean_dq.cpp │ ├── vem3dmesh_neohookean_dq.m │ ├── vem3dmesh_neohookean_dq2.cpp │ ├── vem3dmesh_neohookean_dq2.m │ ├── vem3dmesh_neohookean_q.cpp │ ├── vem3dmesh_neohookean_q.m │ ├── vem3dmesh_polynomial_coefficients.cpp │ ├── vem3dmesh_simulate_one_step.cpp │ ├── vem3dmesh_simulate_one_step.m │ ├── vem_error_matrix.cpp │ ├── vem_error_matrix.m │ ├── vem_ext_force.cpp │ ├── vem_ext_force.m │ ├── vem_mass_matrix.cpp │ └── vem_mass_matrix.m ├── monomial_basis.m ├── monomial_basis_grad.m ├── nurbs_utils │ ├── IGES Toolbox │ │ ├── IGESfiles │ │ │ ├── example.igs │ │ │ ├── example2.igs │ │ │ ├── piece.igs │ │ │ └── srfOfRev.igs │ │ ├── LScrvApp.c │ │ ├── LScrvApp.mexw64 │ │ ├── closestNrbLinePointIGES.c │ │ ├── closestNrbLinePointIGES.mexw64 │ │ ├── createDVGtree.c │ │ ├── createDVGtree.mexw64 │ │ ├── crvPntsSrfNURBS.c │ │ ├── crvPntsSrfNURBS.mexw64 │ │ ├── example.m │ │ ├── example2.m │ │ ├── exampleAll.m │ │ ├── exampleICP.m │ │ ├── examplePerspectiveProjection.m │ │ ├── exampleProjection.m │ │ ├── exampleProjection2.m │ │ ├── exampleProjection2b.m │ │ ├── exampleSphericalProjection.m │ │ ├── findEntityIGES.m │ │ ├── getDVGtree.m │ │ ├── getSurfaceDistributedPoints.m │ │ ├── icpDVGpnt2plnLS.c │ │ ├── icpDVGpnt2plnLS.mexw64 │ │ ├── icpDVGpnt2plnTu.c │ │ ├── icpDVGpnt2plnTu.mexw64 │ │ ├── icpDVGpnt2pntLS.c │ │ ├── icpDVGpnt2pntLS.mexw64 │ │ ├── icpDVGpnt2pntTu.c │ │ ├── icpDVGpnt2pntTu.mexw64 │ │ ├── icpSrfLinRep.m │ │ ├── iges2matlab.m │ │ ├── igesToolBoxGUI.fig │ │ ├── igesToolBoxGUI.m │ │ ├── linAppSrfIGES.m │ │ ├── makeIGESmex.m │ │ ├── mexSourceFiles │ │ │ ├── BasisFuns.c │ │ │ ├── BspEval.c │ │ │ ├── BspEval2.c │ │ │ ├── FindSpan.c │ │ │ ├── FindSpanIncSeq.c │ │ │ ├── LScurveApp.c │ │ │ ├── NURBScurveEval.c │ │ │ ├── NURBSsurfaceEval.c │ │ │ ├── NURBSsurfaceRegularEval.c │ │ │ ├── constrainingFcn.c │ │ │ ├── findBoundary.c │ │ │ ├── genzCGM.c │ │ │ ├── linalgR6x6.c │ │ │ ├── linesearchPenalty.c │ │ │ ├── linesearchRcprBarrier.c │ │ │ ├── nrbD1D2eval.c │ │ │ ├── nrbD1D2eval2.c │ │ │ ├── offsetNURBSsrf.c │ │ │ ├── rotMatrixCCOV.c │ │ │ ├── rotmatCmptns.c │ │ │ ├── trfExpPenalty.c │ │ │ ├── trfRcprclBarrier.c │ │ │ ├── trustRegionFuncExpPenalty.c │ │ │ └── trustRegionFuncRcprclBarrier.c │ │ ├── nrbDerivativesIGES.m │ │ ├── nrbSrfRegularEvalIGES.c │ │ ├── nrbSrfRegularEvalIGES.mexw64 │ │ ├── nrbevalIGES.c │ │ ├── nrbevalIGES.mexw64 │ │ ├── offsetIGES.m │ │ ├── offsetNURBSsurface.c │ │ ├── plotAxis.m │ │ ├── plotIGES.m │ │ ├── plotIGESentity.m │ │ ├── plotNURBS.m │ │ ├── plotSTL.m │ │ ├── projIGES.m │ │ ├── projpartIGES.m │ │ ├── projpartPerspectiveIGES.m │ │ ├── projpartSphericalIGES.m │ │ ├── readme.txt │ │ ├── resources │ │ │ ├── addons_core.xml │ │ │ ├── matlab_path_entries.xml │ │ │ └── screenshot.png │ │ ├── retSrfCrvPnt.m │ │ ├── srfRepInProjection.m │ │ ├── stl2matlab.m │ │ ├── transformIGES.m │ │ ├── transformSTL.m │ │ └── xyz2matlab.m │ ├── README.md │ ├── dersbasisfuns.m │ ├── iges2matlab.m │ ├── igesout.m │ ├── lglnodes.m │ ├── lgwt.m │ ├── nurbs_assemble_coords.m │ ├── nurbs_blending_weights.m │ ├── nurbs_coords.m │ ├── nurbs_from_iges.m │ ├── nurbs_grad.m │ ├── nurbs_normals.m │ ├── nurbs_plot.m │ ├── nurbs_sample.m │ ├── nurbs_toolbox │ │ ├── Contents.m │ │ ├── basisfun.m │ │ ├── bspdegelev.m │ │ ├── bspderiv.m │ │ ├── bspeval.m │ │ ├── bspkntins.m │ │ ├── deg2rad.m │ │ ├── demo4surf.m │ │ ├── democirc.m │ │ ├── democoons.m │ │ ├── democurve.m │ │ ├── democylind.m │ │ ├── demodegelev.m │ │ ├── demodercrv.m │ │ ├── demodersrf.m │ │ ├── demoellip.m │ │ ├── demogeom.m │ │ ├── demohelix.m │ │ ├── demokntins.m │ │ ├── demoline.m │ │ ├── demorect.m │ │ ├── demorevolve.m │ │ ├── demoruled.m │ │ ├── demos.m │ │ ├── demotorus.m │ │ ├── findspan.m │ │ ├── nrb4surf.m │ │ ├── nrbcirc.m │ │ ├── nrbcoons.m │ │ ├── nrbcylind.m │ │ ├── nrbdegelev.m │ │ ├── nrbderiv.m │ │ ├── nrbdeval.m │ │ ├── nrbeval.m │ │ ├── nrbextrude.m │ │ ├── nrbkntins.m │ │ ├── nrbline.m │ │ ├── nrbmak.m │ │ ├── nrbplot.m │ │ ├── nrbrect.m │ │ ├── nrbreverse.m │ │ ├── nrbrevolve.m │ │ ├── nrbruled.m │ │ ├── nrbtestcrv.m │ │ ├── nrbtestsrf.m │ │ ├── nrbtform.m │ │ ├── nrbtransp.m │ │ ├── rad2deg.m │ │ ├── vecangle.m │ │ ├── veccross.m │ │ ├── vecdot.m │ │ ├── vecmag.m │ │ ├── vecmag2.m │ │ ├── vecnormalize.m │ │ ├── vecrotx.m │ │ ├── vecroty.m │ │ ├── vecrotz.m │ │ ├── vecscale.m │ │ └── vectrans.m │ ├── nurbs_triangulate.m │ ├── nurbs_write_iges.m │ ├── nurbs_write_obj.m │ ├── sample_spline.m │ └── subd_assemble_coords.m ├── pointTriangleDistance │ ├── license.txt │ └── pointTriangleDistance.m ├── raycast_quadrature.m ├── simulate_twist.m ├── symbolic │ ├── SNH_dF.m │ ├── SNH_dF2.m │ ├── SNH_tet_dF.m │ ├── SNH_tet_dF2.m │ ├── neohookean_dF.m │ ├── neohookean_dF2.m │ ├── neohookean_func.m │ ├── neohookean_tet_dF.m │ ├── neohookean_tet_dF2.m │ ├── vem_A_func.m │ ├── vem_dF_func.m │ └── vem_mass_matrix_func.m ├── vem3dmesh_energy_matlab.m ├── vem_dF_dc.m ├── vem_dx_dc.m ├── vem_preprocess.m ├── vem_simulate_nurbs.m ├── vem_simulate_nurbs_fmincon.m ├── vem_simulate_nurbs_newtons.m ├── vem_simulate_nurbs_with_collision.m └── vem_simulate_subd.m ├── models ├── README.md ├── T.iges ├── beams │ ├── beam.iges │ ├── beam_cmp1.iges │ ├── beam_cmp2.iges │ ├── beam_cmp3.iges │ ├── beam_cmp3_b.iges │ ├── beam_cmp4.iges │ ├── cube.iges │ ├── cubes │ │ ├── cube1.igs │ │ ├── cube10.iges │ │ ├── cube100.iges │ │ ├── cube15.iges │ │ ├── cube2.iges │ │ ├── cube20.iges │ │ ├── cube25.iges │ │ ├── cube3.iges │ │ ├── cube30.iges │ │ ├── cube4.iges │ │ ├── cube40.iges │ │ ├── cube5.iges │ │ ├── cube50.iges │ │ └── cube75.iges │ ├── perf │ │ ├── b1.igs │ │ ├── b1.igsbak │ │ ├── b10.igs │ │ ├── b2.igs │ │ ├── b2.igsbak │ │ ├── b3.igs │ │ ├── b4.igs │ │ ├── b5.igs │ │ ├── b6.igs │ │ └── b7.igs │ └── tetmeshes │ │ ├── vem_beam_tet0.mesh │ │ ├── vem_beam_tet1.mesh │ │ ├── vem_beam_tet2.mesh │ │ └── vem_beam_tet3.mesh ├── castle │ ├── castle.iges │ ├── castle_cut_nowall.iges │ ├── castle_simple.iges │ ├── castle_simple_smaller_flip.iges │ ├── castle_simple_smaller_flip_cut.iges │ └── castle_super_simple.iges ├── chicken │ ├── chicken.iges │ ├── chicken_from_autodesk_gallery.iges │ ├── chicken_little.iges │ ├── chicken_simple_closed.iges │ └── chicken_simple_closed_small.iges ├── cylinder.iges ├── grumpy.iges ├── lamppost.iges ├── mugs │ ├── mug.iges │ ├── mug_complex.iges │ ├── mug_trimmed.iges │ ├── mug_trimmed_complex.iges │ ├── mug_trimmed_complex_bad.iges │ └── mugs_rhino │ │ ├── mug_floating_handle.3dm │ │ ├── mug_floating_handle.igs │ │ ├── mug_intersect_1.3dm │ │ ├── mug_intersect_1.igs │ │ ├── mug_intersect_2.3dm │ │ ├── mug_intersect_2.igs │ │ ├── mug_solid.3dm │ │ └── mug_solid.igs ├── obj │ ├── bowl.obj │ ├── cube.obj │ ├── plane.obj │ ├── sphere.obj │ └── vem_beam.obj ├── puft │ ├── puft.iges │ ├── puft_full_simple.iges │ ├── puft_full_simpler.iges │ ├── puft_no_collar.iges │ ├── puft_simple.iges │ ├── puft_subD.iges │ └── puft_without_head_subd.iges ├── rocket │ ├── rocket.iges │ ├── rocket_small.iges │ └── rocket_with_nose.iges ├── rounded_cube.iges ├── squid.iges ├── starship │ ├── starship.igs │ ├── starship_fall.igs │ ├── starship_fall_collide.igs │ ├── starship_fall_simpler.igs │ └── surface.obj ├── tire.iges ├── trident.iges └── wrench.iges ├── output ├── gifs │ ├── cube.gif │ ├── gifsicle.exe │ └── gifsicle_remove2.sh └── img │ └── .gitignore └── paper ├── .gitignore ├── castle.png ├── figures ├── astronauts.pdf ├── beam_twist.pdf ├── beams.pdf ├── chicken.pdf ├── deflection.pdf ├── deflection_full.pdf ├── deprecated │ ├── distance_weight_old.pdf │ ├── distance_weighting.png │ ├── error_energy.png │ ├── nurbs_surface.png │ ├── plot_distance_weight.pdf │ └── raycasting_quadrature.png ├── distance_weight_puft.pdf ├── export_iges.pdf ├── independent_movement.pdf ├── mug_overlap.pdf ├── nurbs_patch.pdf ├── octopus.pdf ├── origin_network.pdf ├── patch_test.pdf ├── plot_distance_weight_both.pdf ├── projection_operator_solve.pdf ├── raycasting_quadrature.pdf ├── representative.jpg ├── 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