├── .gitattributes ├── .gitignore ├── .gitlab-ci.yml ├── .gitmodules ├── 2.3 ├── README.md ├── computeDphi.m ├── computeFiniteElementExample.m ├── computeLagrangePoly.m ├── computePhi.m ├── drawFEM1DExample.m ├── drawFEM1DExample2.m ├── drawLagrangePoly.m ├── eq_fem_h_refinement_1.png ├── fem_h_refinement_1.svg.png ├── fem_h_refinement_1.svg.xz ├── fem_h_refinement_2.svg.png ├── fem_h_refinement_2.svg.xz ├── lagrange.ofig ├── lagrange.svg.png └── lagrange.svg.xz ├── 3.1 ├── README.md ├── drawEllipseImplicit.m ├── drawEllipseParametric.m ├── drawSphereImplicit.m ├── drawSphereParametric.m ├── ellipse.gif ├── ellipse_parametric.ofig ├── ellipse_parametric.svg.png ├── ellipse_parametric.svg.xz ├── eq_sphere.png ├── sphere.gif ├── sphere_implicit.ofig ├── sphere_implicit.svg.png └── sphere_implicit.svg.xz ├── 3.3 ├── README.md ├── bezier_2d.ofig ├── bezier_2d.svg.png ├── bezier_2d.svg.xz ├── bezier_3d.ofig ├── bezier_3d.svg.png ├── bezier_3d.svg.xz ├── bezier_deg.ofig ├── bezier_deg.svg.png ├── bezier_deg.svg.xz ├── bezier_surf.ofig ├── bezier_surf.svg.png ├── bezier_surf.svg.xz ├── computeBezier.m ├── computeBezierSurf.m ├── drawBezierCurve.m ├── drawBezierCurve2d.m ├── drawBezierCurve3d.m ├── drawBezierSurf.m ├── drawDegreeComparison.m ├── eq_bezier_1.png ├── eq_bezier_2.png └── eq_bezier_3.png ├── 3.4 ├── README.md ├── bspline_basis.ofig.xz ├── bspline_basis.svg.png ├── bspline_basis.svg.xz ├── bspline_basis_derivs.svg.png ├── bspline_basis_derivs.svg.xz ├── bspline_basis_derivs_2.svg.png ├── bspline_basis_derivs_2.svg.xz ├── bspline_bivariate_basis.svg.png ├── bspline_bivariate_basis.svg.xz ├── bspline_curve.svg.png ├── bspline_curve.svg.xz ├── bspline_curve_3d.svg.png ├── bspline_curve_3d.svg.xz ├── bspline_surf.svg.png ├── bspline_surf.svg.xz ├── bspline_surf_2.svg.png ├── bspline_surf_2.svg.xz ├── bspline_surf_ring.ofig ├── bspline_surf_ring.svg.png ├── bspline_surf_ring.svg.xz ├── computeBsplineBasis.m ├── computeBsplineBasisDeriv.m ├── computeBsplineBasisDerivs.m ├── computeBsplineBasisFuns.m ├── computeBsplineCurvePoint.m ├── computeBsplineSurfDerivsPoint.m ├── computeBsplineSurfPoint.m ├── defineBsplinePlateHole.m ├── defineBsplineRing.m ├── drawBivariateBsplineBasisFuns.m ├── drawBsplineBasisDerivs.m ├── drawBsplineBasisFuns.m ├── drawBsplineCurve.m ├── drawBsplineRing.m ├── drawBsplineSurf.m ├── drawBsplineSurfDemo.m ├── drawBsplineSurfDemo2.m ├── eq_bspline_1.png ├── eq_bspline_2.png ├── eq_bspline_3.png ├── eq_bspline_4.png ├── eq_bspline_5.png └── findSpan.m ├── 3.5 ├── README.md ├── computeNURBSBasisDeriv.m ├── computeNURBSBasisFun.m ├── computeNURBSCurvePoint.m ├── computeNURBSSurfDerivsPoint.m ├── computeNURBSSurfPoint.m ├── defineNURBSPlateHole.m ├── defineNURBSToroid.m ├── drawBivariateNURBSBasisFuns.m ├── drawNURBSBasisDeriv.m ├── drawNURBSBasisFuns.m ├── drawNURBSBasisFunsP5.m ├── drawNURBSCircle.m ├── drawNURBSCurve.m ├── drawNURBSExampleCurve.m ├── drawNURBSExampleWeights.m ├── drawNURBSKnotInsertion.m ├── drawNURBSPlateHole.m ├── drawNURBSSurf.m ├── drawNURBSToroid.m ├── eq_nurbs_1.png ├── eq_nurbs_2.png ├── eq_nurbs_3.png ├── nurbs_basis.svg.png ├── nurbs_basis.svg.xz ├── nurbs_basis_derivs.svg.png ├── nurbs_basis_derivs.svg.xz ├── nurbs_basis_w3.ofig.xz ├── nurbs_basis_w3.svg.png ├── nurbs_basis_w3.svg.xz ├── nurbs_bivariate_basis.svg.png ├── nurbs_bivariate_basis.svg.xz ├── nurbs_bivariate_basis_weight.svg.png ├── nurbs_bivariate_basis_weight.svg.xz ├── nurbs_circle.ofig ├── nurbs_circle.svg.png ├── nurbs_circle.svg.xz ├── nurbs_curve_example.ofig ├── nurbs_curve_example.svg.png ├── nurbs_curve_example.svg.xz ├── nurbs_curve_weight.svg.png ├── nurbs_curve_weight.svg.xz ├── nurbs_plate.ofig ├── nurbs_plate.svg.png ├── nurbs_plate.svg.xz ├── nurbs_toroid.ofig ├── nurbs_toroid.svg.png └── nurbs_toroid.svg.xz ├── 4.5 ├── README.md ├── computeIGA1DBsplines.m ├── computeKnotInsertion.m ├── computeSurfKnotInsertion.m ├── drawIGA1DExample.m ├── drawIGA1DExample2.m ├── drawIGA1DExample3.m ├── drawIGABasisFuns.m ├── drawNURBSCircleKnotInsertion.m ├── drawNURBSPlateHoleKnotInsertion.m ├── eq_knot_insertion_1.png ├── eq_knot_insertion_2.png ├── iga_knot_insertion_1.svg.png ├── iga_knot_insertion_1.svg.xz ├── iga_knot_insertion_2.svg.png ├── iga_knot_insertion_2.svg.xz ├── iga_knot_insertion_3.svg.png ├── iga_knot_insertion_3.svg.xz ├── iga_knot_insertion_basis_funs.svg.png ├── iga_knot_insertion_basis_funs.svg.xz ├── iga_knot_insertion_circle.svg.png ├── iga_knot_insertion_circle.svg.xz ├── iga_knot_insertion_plate_hole.ofig ├── iga_knot_insertion_plate_hole.svg.png └── iga_knot_insertion_plate_hole.svg.xz ├── 4.6 ├── wp_p2_q2_k4_l4_rXi1_rEta1.mat ├── wp_p2_q2_k5_l5_rXi0_rEta0_TolX-5_TolFun-5.mat ├── wp_p3_q3_k4_l4_rXi1_rEta1.mat ├── wp_p4_q4_k4_l4_rXi0_rEta0_M21.mat ├── wxi2D-1.mat ├── wxi_hughes_p2_k0_5elements.mat ├── wxi_p1_k-1_5elements.mat ├── wxi_p1_k_1_4elements.mat ├── wxi_p1_q1_nelXi4_nelEta4_4lementsXi_4elementsEta.mat ├── wxi_p2_k0_2elements.mat ├── wxi_p2_k0_3elements.mat ├── wxi_p2_k0_4elements.mat ├── wxi_p2_k0_5elements.mat ├── wxi_p2_k1_4elements.mat ├── wxi_p2_q2_nelXi4_nelEta4_4elementsXi_4elementsEta.mat ├── wxi_p2_q4_kXi0_kEta1_4elementsXi_4elementsEta.mat ├── wxi_p3_k0_2elements.mat ├── wxi_p3_k0_3elements.mat ├── wxi_p3_k0_4elements.mat ├── wxi_p3_k0_5elements.mat ├── wxi_p4_k0_2elements.mat ├── wxi_p4_k0_3elements.mat ├── wxi_p4_k0_4elements.mat ├── wxi_p4_k0_5elements.mat ├── wxi_p4_k1_2elements.mat ├── wxi_p4_k1_3elements.mat ├── wxi_p4_k1_4elements.mat ├── wxi_p4_k1_5elements.mat ├── wxi_p4_q4_kXi0_kEta0_4elementsXi_4elementsEta.mat ├── wxi_p4_q4_kXi0_kEta0_4elementsXi_4elementsEta_2.mat ├── wxi_p4_q4_kXi4_kEta4_4elementsXi_4elementsEta.mat ├── wxi_p6_k0_2elements.mat ├── wxi_p6_k0_3elements.mat ├── wxi_p6_k0_4elements.mat └── wxi_p6_k0_5elements.mat ├── 4.7 ├── IGA2D513.m ├── IGA2D56.m ├── README.md ├── computeForceIntegralBsplines.m ├── computeForceIntegralBsplines02.m ├── computeLeftHandIntegrand.m ├── computeRightHandIntegrand.m ├── computeStiffnessIntegralBsplines.m ├── computeStiffnessIntegralBsplines02.m ├── eq_iga_1.png ├── iga_2d_513.ofig ├── iga_2d_513_1.svg.png ├── iga_2d_513_1.svg.xz ├── iga_2d_513_2.svg.png ├── iga_2d_513_2.svg.xz ├── iga_2d_513_3.svg.png ├── iga_2d_513_3.svg.xz ├── iga_2d_56.ofig ├── iga_2d_56_1.svg.png ├── iga_2d_56_1.svg.xz ├── iga_2d_56_2.svg.png └── iga_2d_56_2.svg.xz ├── LICENSE ├── README.md ├── docs ├── .gitattributes ├── bezier.html ├── bspline.html ├── dist │ ├── bundle.js │ ├── bundle.js.map │ └── bundle.min.js ├── images │ ├── bezier_2d.svg.png │ ├── bezier_3d.svg.png │ ├── bezier_deg.svg.png │ ├── bezier_surf.svg.png │ ├── bspline_basis.svg.png │ ├── bspline_basis_derivs.svg.png │ ├── bspline_basis_derivs_2.svg.png │ ├── bspline_bivariate_basis.svg.png │ ├── bspline_curve.svg.png │ ├── bspline_curve_3d.svg.png │ ├── bspline_surf.svg.png │ ├── bspline_surf_2.svg.png │ ├── bspline_surf_2.svg.webp │ ├── bspline_surf_ring.svg.png │ ├── ellipse_parametric.svg.png │ ├── eq_bezier_1.png │ ├── eq_bezier_2.png │ ├── eq_bezier_3.png │ ├── eq_bspline_1.png │ ├── eq_bspline_2.png │ ├── eq_bspline_3.png │ ├── eq_bspline_4.png │ ├── eq_bspline_5.png │ ├── eq_fem_h_refinement_1.png │ ├── eq_iga_1.png │ ├── eq_knot_insertion_1.png │ ├── eq_knot_insertion_2.png │ ├── eq_nurbs_1.png │ ├── eq_nurbs_2.png │ ├── eq_nurbs_3.png │ ├── eq_sphere.png │ ├── example.png │ ├── fem_h_refinement_1.svg.png │ ├── fem_h_refinement_2.svg.png │ ├── iga_2d_513_1.svg.png │ ├── iga_2d_513_2.svg.png │ ├── iga_2d_513_3.svg.png │ ├── iga_2d_56_1.svg.png │ ├── iga_2d_56_2.svg.png │ ├── iga_knot_insertion_1.svg.png │ ├── iga_knot_insertion_2.svg.png │ ├── iga_knot_insertion_3.svg.png │ ├── iga_knot_insertion_basis_funs.svg.png │ ├── iga_knot_insertion_circle.svg.png │ ├── iga_knot_insertion_plate_hole.svg.png │ ├── lagrange.svg.png │ ├── latex.png │ ├── nurbs_basis.svg.png │ ├── nurbs_basis_derivs.svg.png │ ├── nurbs_basis_w3.svg.png │ ├── nurbs_bivariate_basis.svg.png │ ├── nurbs_bivariate_basis_weight.svg.png │ ├── nurbs_circle.svg.png │ ├── nurbs_curve_example.svg.png │ ├── nurbs_curve_weight.svg.png │ ├── nurbs_plate.svg.png │ ├── nurbs_toroid.svg.png │ └── sphere_implicit.svg.png ├── nurbs.html ├── nurbs_knot_insertion.html ├── nurbs_knot_insertion_curve.html ├── nurbs_knot_insertion_plate.html └── nurbs_knot_insertion_toroid.html ├── eq └── equations.lyx ├── rust ├── .gitignore ├── isogeometric-analysis-benchmarks │ ├── Cargo.toml │ └── src │ │ └── main.rs ├── isogeometric-analysis-demos │ ├── Cargo.toml │ └── src │ │ ├── bezier.rs │ │ └── main.rs └── isogeometric-analysis │ ├── Cargo.toml │ ├── README.md │ ├── images │ ├── bezier_teacup.png │ ├── bezier_teapot.png │ ├── bezier_teaspoon.png │ ├── circle_1.png │ ├── circle_2.png │ ├── circle_3.png │ └── circle_4.png │ ├── src │ ├── bezier │ │ ├── bezier.rs │ │ ├── mod.rs │ │ ├── teacup.rs │ │ ├── teapot.rs │ │ ├── teaspoon.rs │ │ └── utahdata.rs │ ├── core │ │ ├── color.rs │ │ ├── factorial.rs │ │ ├── hsl.rs │ │ ├── mapping.rs │ │ ├── matrix.rs │ │ ├── mod.rs │ │ ├── point.rs │ │ ├── range.rs │ │ ├── size.rs │ │ └── utils.rs │ └── lib.rs │ └── utah_teapot_data │ ├── teacup │ ├── teapot │ └── teaspoon ├── tools ├── latex_to_png.sh ├── svg_to_png.sh └── svgxz_to_png.sh └── ts ├── bezier.html ├── bspline.html ├── ki_curve.webp ├── ki_plate.webp ├── ki_toroid.webp ├── nurbs.html ├── nurbs_knot_insertion.html ├── nurbs_knot_insertion_curve.html ├── nurbs_knot_insertion_plate.html ├── nurbs_knot_insertion_toroid.html ├── src ├── bezier │ ├── bernstein.ts │ ├── bezier.ts │ ├── drawBezierCurve.ts │ ├── drawBezierCurveExample.ts │ ├── drawBezierSurf.ts │ └── drawBezierSurfExample.ts ├── bspline │ ├── bspline.ts │ ├── drawBsplineCurve.ts │ ├── drawBsplineCurveExample.ts │ ├── drawBsplineSurf.ts │ └── drawBsplineSurfExample.ts ├── core │ ├── conv.ts │ ├── factorial.ts │ ├── iequatable.ts │ ├── linsystem.ts │ ├── lu.ts │ ├── 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