Index

A

adapt() (in module skshape.geometry.curve_adaptivity) (skshape.geometry.curve.Curve method) (skshape.geometry.curve.CurveFamily method) adapt_integrate() (in module skshape.numerics.integration) adapt_integrate_tolerance() (in module skshape.numerics.integration) adapt_order_integrate() (in module skshape.numerics.integration) add_remove_curves() (skshape.geometry.curve.CurveFamily method)

AlignmentPenaltyFunction (class in skshape.numerics.function) AnisotropicMeshFunction (class in skshape.numerics.function) AnisotropicMeshFunction2 (class in skshape.numerics.function) AnisotropicSurfaceEnergy (class in skshape.image.segmentation.shape_energy) area() (skshape.geometry.curve.Curve method) (skshape.geometry.curve.CurveFamily method) (skshape.geometry.domain.Domain2d method) assemble_system_matrix() (in module skshape.numerics.fem.grid_fem)

B

BallFunction (class in skshape.image.synthetic_image) basin_width() (skshape.image.segmentation.shape_energy.AnisotropicSurfaceEnergy method) (skshape.image.segmentation.shape_energy.IsotropicSurfaceEnergy method) (skshape.image.segmentation.shape_energy.PwConstRegionEnergy method) (skshape.image.segmentation.shape_energy.ShapeEnergy method)

BlockDiagMatrix (class in skshape.numerics.matrix) boundary() (skshape.numerics.function.ImageFunction method) (skshape.numerics.function.MultiImageFunction method) bounding_box() (skshape.geometry.curve.Curve method) BoxFunction (class in skshape.image.synthetic_image) BoxIndicatorFunction (class in skshape.numerics.function)

C

ChanVeseEnergy (in module skshape.image.segmentation.shape_energy) coarsen_all_curves() (in module skshape.geometry.curve_network) compute_data_coarsening_error() (in module skshape.geometry.curve_adaptivity) compute_data_error() (in module skshape.geometry.curve_adaptivity) compute_geometric_error() (in module skshape.geometry.curve_adaptivity) contains() (skshape.geometry.curve.Curve method) coords() (skshape.geometry.curve.Curve method) (skshape.geometry.curve.CurveFamily method) (skshape.geometry.domain.Domain2d method) copy() (skshape.geometry.curve.Curve method) (skshape.geometry.curve.CurveFamily method) (skshape.geometry.domain.Domain2d method) (skshape.numerics.matrix.BlockDiagMatrix method) (skshape.numerics.matrix.Matrix method) (skshape.numerics.matrix.MatrixWithRankOneUpdates method) (skshape.numerics.matrix.TridiagMatrix method)

copy_adaptivity_parameters() (in module skshape.geometry.curve_adaptivity) core() (skshape.numerics.function.RadialFunction method) core_deriv1() (skshape.numerics.function.RadialFunction method) core_deriv2() (skshape.numerics.function.RadialFunction method) core_matrix() (skshape.numerics.matrix.MatrixWithRankOneUpdates method) curvature() (skshape.geometry.curve.Curve method) (skshape.geometry.curve.CurveFamily method) CurvatureDependentMeshFunction (class in skshape.numerics.function) Curve (class in skshape.geometry.curve) curve_hierarchy() (skshape.geometry.curve.CurveFamily method) curve_list() (skshape.geometry.curve.CurveFamily method) CurveFamily (class in skshape.geometry.curve)

D

degree() (skshape.numerics.integration.Quadrature method) diameter() (skshape.numerics.function.AnisotropicMeshFunction method) (skshape.numerics.function.AnisotropicMeshFunction2 method) (skshape.numerics.function.CurvatureDependentMeshFunction method) (skshape.numerics.function.ImageFunction method) (skshape.numerics.function.MeshFunction method) (skshape.numerics.function.MeshFunction2 method) (skshape.numerics.function.MultiImageFunction method) dim() (skshape.geometry.curve.Curve method) (skshape.geometry.curve.CurveFamily method) (skshape.geometry.domain.Domain2d method) (skshape.geometry.grid.Grid2d method)

dim_of_world() (skshape.geometry.curve.Curve method) (skshape.geometry.curve.CurveFamily method) (skshape.geometry.domain.Domain2d method) (skshape.geometry.grid.Grid2d method) domain() (skshape.numerics.function.ImageFunction method) (skshape.numerics.function.MultiImageFunction method) Domain2d (class in skshape.geometry.domain) double_integrate() (in module skshape.numerics.integration)

E

EdgeIndicatorFunction (class in skshape.numerics.function) edges() (skshape.geometry.curve.Curve method) (skshape.geometry.curve.CurveFamily method) element_sizes() (skshape.geometry.curve.Curve method) (skshape.geometry.curve.CurveFamily method) (skshape.geometry.domain.Domain2d method) ellipt_matvec() (in module skshape.numerics.fem.grid_fem) equidistribution_marking() (in module skshape.numerics.marking) estimate_errors() (skshape.image.segmentation.shape_energy.AnisotropicSurfaceEnergy method) (skshape.image.segmentation.shape_energy.IsotropicSurfaceEnergy method) (skshape.image.segmentation.shape_energy.PwConstRegionEnergy method) estimate_errors_from_tol() (skshape.image.segmentation.shape_energy.AnisotropicSurfaceEnergy method) (skshape.image.segmentation.shape_energy.IsotropicSurfaceEnergy method) (skshape.image.segmentation.shape_energy.PwConstRegionEnergy method) estimate_integration_errors() (in module skshape.image.statistics) estimates_and_markers() (in module skshape.geometry.curve_adaptivity) eval_basis_fct() (skshape.numerics.fem.curve_fem.ReferenceElement method) eval_basis_fct_products() (skshape.numerics.fem.curve_fem.ReferenceElement method) exact_coords() (skshape.geometry.curve_examples.FlowerCurve method) (skshape.geometry.curve_examples.GeneralizedCircle method) (skshape.geometry.curve_examples.GeneralizedEllipse method) (skshape.geometry.curve_examples.Limacon method)

exact_curvature() (skshape.geometry.curve_examples.FlowerCurve method) (skshape.geometry.curve_examples.GeneralizedCircle method) (skshape.geometry.curve_examples.Limacon method) exact_normals() (skshape.geometry.curve_examples.FlowerCurve method) (skshape.geometry.curve_examples.GeneralizedCircle method) (skshape.geometry.curve_examples.Limacon method) exact_second_fund_form() (skshape.geometry.curve_examples.FlowerCurve method) (skshape.geometry.curve_examples.GeneralizedCircle method) (skshape.geometry.curve_examples.Limacon method) exact_tangents() (skshape.geometry.curve_examples.FlowerCurve method) (skshape.geometry.curve_examples.GeneralizedCircle method) (skshape.geometry.curve_examples.Limacon method) exterior_area() (skshape.geometry.curve.Curve method) (skshape.geometry.curve.CurveFamily method) exterior_domain() (skshape.geometry.curve.CurveFamily method) exterior_volume() (skshape.geometry.curve.Curve method) (skshape.geometry.curve.CurveFamily method)

F

factorize() (skshape.numerics.matrix.BlockDiagMatrix method) (skshape.numerics.matrix.TridiagMatrix method) fast_tridiag_solve() (in module skshape.numerics.matrix)

fixed_el_tol_marking() (in module skshape.numerics.marking) fixed_ratio_marking() (in module skshape.numerics.marking) FlowerCurve (class in skshape.geometry.curve_examples)

G

GeneralizedCircle (class in skshape.geometry.curve_examples) GeneralizedEllipse (class in skshape.geometry.curve_examples) GeneralizedFunction (class in skshape.numerics.function) GeodesicActiveContourEnergy (in module skshape.image.segmentation.shape_energy) geometric_adaptivity_parameters() (in module skshape.geometry.curve_adaptivity) get_curve_object() (skshape.geometry.curve.CurveFamily method) get_diag() (skshape.numerics.matrix.TridiagMatrix method) gradient() (skshape.image.synthetic_image.BallFunction method) (skshape.image.synthetic_image.BoxFunction method) (skshape.image.synthetic_image.SyntheticImage method) (skshape.numerics.function.AlignmentPenaltyFunction method) (skshape.numerics.function.AnisotropicMeshFunction method) (skshape.numerics.function.BoxIndicatorFunction method) (skshape.numerics.function.EdgeIndicatorFunction method) (skshape.numerics.function.GeneralizedFunction method) (skshape.numerics.function.ImageFunction method) (skshape.numerics.function.InnerProductFunction method) (skshape.numerics.function.MeshFunction method) (skshape.numerics.function.MultiImageFunction method) (skshape.numerics.function.RadialFunction method) (skshape.numerics.function.UnitVectorFunction method)

Grid2d (class in skshape.geometry.grid)

H

has_maximum_accuracy() (skshape.image.segmentation.shape_energy.AnisotropicSurfaceEnergy method) (skshape.image.segmentation.shape_energy.IsotropicSurfaceEnergy method) (skshape.image.segmentation.shape_energy.PwConstRegionEnergy method) has_submeshes() (skshape.geometry.curve.CurveFamily method) (skshape.geometry.mesh.Mesh method) hessian() (skshape.image.synthetic_image.BallFunction method) (skshape.image.synthetic_image.BoxFunction method) (skshape.image.synthetic_image.SyntheticImage method) (skshape.numerics.function.AlignmentPenaltyFunction method) (skshape.numerics.function.AnisotropicMeshFunction method) (skshape.numerics.function.BoxIndicatorFunction method) (skshape.numerics.function.EdgeIndicatorFunction method) (skshape.numerics.function.GeneralizedFunction method) (skshape.numerics.function.ImageFunction method) (skshape.numerics.function.InnerProductFunction method) (skshape.numerics.function.MeshFunction method) (skshape.numerics.function.MultiImageFunction method) (skshape.numerics.function.RadialFunction method) (skshape.numerics.function.UnitVectorFunction method)

hole_points() (skshape.geometry.curve.CurveFamily method)

I

ImageFunction (class in skshape.numerics.function) InnerProductFunction (class in skshape.numerics.function) integrate() (in module skshape.numerics.integration) (skshape.numerics.integration.Quadrature1d method) (skshape.numerics.integration.Quadrature2d method) interior_area() (skshape.geometry.curve.Curve method) (skshape.geometry.curve.CurveFamily method) interior_domain() (skshape.geometry.curve.CurveFamily method) interior_volume() (skshape.geometry.curve.Curve method) (skshape.geometry.curve.CurveFamily method)

interpolate() (skshape.numerics.fem.curve_fem.ReferenceElement method) (skshape.numerics.fem.grid_fem.ReferenceElement method) inv_diag_ellipt_matvec() (in module skshape.numerics.fem.grid_fem) is_minimized() (skshape.image.segmentation.shape_energy.AnisotropicSurfaceEnergy method) (skshape.image.segmentation.shape_energy.IsotropicSurfaceEnergy method) (skshape.image.segmentation.shape_energy.PwConstRegionEnergy method) (skshape.image.segmentation.shape_energy.ShapeEnergy method) IsotropicSurfaceEnergy (class in skshape.image.segmentation.shape_energy) iterpoints() (skshape.numerics.integration.Quadrature1d method) (skshape.numerics.integration.Quadrature2d method)

K

k_means_clusters() (in module skshape.image.statistics)

L

L2_error() (in module skshape.numerics.integration) L2_norm() (in module skshape.numerics.integration) length() (skshape.geometry.curve.Curve method) (skshape.geometry.curve.CurveFamily method) Limacon (class in skshape.geometry.curve_examples) load_vector() (in module skshape.numerics.fem.curve_fem) (in module skshape.numerics.fem.grid_fem)

local_to_global() (skshape.geometry.curve.CurveFamily method) (skshape.numerics.fem.curve_fem.ReferenceElement method) (skshape.numerics.fem.domain2d_fem.ReferenceElement method) (skshape.numerics.fem.grid_fem.ReferenceElement method) lognormal() (in module skshape.numerics.fem.domain2d_fem)

M

mark_grid() (skshape.geometry.domain.Domain2d method) mark_inside_outside() (skshape.geometry.grid.Grid2d method) mass_matrix() (in module skshape.numerics.fem.curve_fem) Matrix (class in skshape.numerics.matrix) MatrixWithRankOneUpdates (class in skshape.numerics.matrix) matvec() (skshape.numerics.matrix.Matrix method) max_degree() (skshape.numerics.integration.Quadrature method) (skshape.numerics.integration.Quadrature1d method) (skshape.numerics.integration.Quadrature2d method) max_error() (in module skshape.numerics.integration) max_norm() (in module skshape.numerics.integration) max_order() (skshape.numerics.integration.Quadrature method) (skshape.numerics.integration.Quadrature1d method) (skshape.numerics.integration.Quadrature2d method) maximum_strategy_marking() (in module skshape.numerics.marking) Mesh (class in skshape.geometry.mesh) mesh() (skshape.geometry.domain.Domain2d method) MeshFunction (class in skshape.numerics.function) MeshFunction2 (class in skshape.numerics.function) module skshape skshape.geometry skshape.geometry.curve skshape.geometry.curve_adaptivity skshape.geometry.curve_examples skshape.geometry.curve_network skshape.geometry.domain skshape.geometry.graphics skshape.geometry.grid skshape.geometry.mesh skshape.image skshape.image.enhancement skshape.image.segmentation skshape.image.segmentation.segment skshape.image.segmentation.shape_energy skshape.image.segmentation.shape_optimization skshape.image.segmentation.topology_optimization skshape.image.statistics skshape.image.synthetic_image skshape.numerics skshape.numerics.fem skshape.numerics.fem.curve_fem skshape.numerics.fem.domain2d_fem skshape.numerics.fem.grid_fem skshape.numerics.function skshape.numerics.integration skshape.numerics.marking skshape.numerics.matrix

move() (skshape.geometry.curve.Curve method) (skshape.geometry.curve.CurveFamily method) move_back() (skshape.geometry.curve.Curve method) (skshape.geometry.curve.CurveFamily method) MultiImageFunction (class in skshape.numerics.function) MultiphaseRegionEnergy (in module skshape.image.segmentation.shape_energy)

N

norm() (skshape.numerics.matrix.Matrix method) (skshape.numerics.matrix.TridiagMatrix method)

normal_matrix() (in module skshape.numerics.fem.curve_fem) normals() (skshape.geometry.curve.Curve method) (skshape.geometry.curve.CurveFamily method)

O

optimize() (in module skshape.image.segmentation.shape_optimization) (in module skshape.image.segmentation.topology_optimization) order() (skshape.numerics.integration.Quadrature method)

orientation() (skshape.geometry.curve.Curve method) (skshape.geometry.curve.CurveFamily method) origin() (skshape.numerics.function.ImageFunction method) (skshape.numerics.function.MultiImageFunction method)

P

plot_curve_data() (in module skshape.geometry.graphics) points() (skshape.numerics.integration.Quadrature method)

predefined_curve() (in module skshape.geometry.curve_examples) pwconst_weighted_mass_matrix() (in module skshape.numerics.fem.curve_fem) PwConstRegionEnergy (class in skshape.image.segmentation.shape_energy)

Q

Quadrature (class in skshape.numerics.integration) quadrature() (skshape.numerics.fem.curve_fem.ReferenceElement method) (skshape.numerics.fem.domain2d_fem.ReferenceElement method) (skshape.numerics.fem.grid_fem.ReferenceElement method)

Quadrature1d (class in skshape.numerics.integration) Quadrature2d (class in skshape.numerics.integration)

R

RadialFunction (class in skshape.numerics.function) rand() (in module skshape.image.segmentation.segment) (in module skshape.numerics.fem.curve_fem) (in module skshape.numerics.fem.domain2d_fem) randn() (in module skshape.image.segmentation.segment) random_elements() (skshape.numerics.fem.curve_fem.ReferenceElement method) (skshape.numerics.fem.domain2d_fem.ReferenceElement method) ReferenceElement (class in skshape.numerics.fem.curve_fem) (class in skshape.numerics.fem.domain2d_fem) (class in skshape.numerics.fem.grid_fem) refine_coarsen() (in module skshape.geometry.curve_adaptivity) (skshape.geometry.curve.Curve method) (skshape.geometry.curve.CurveFamily method) (skshape.geometry.domain.Domain2d method) region_areas() (skshape.geometry.curve.CurveFamily method) region_volumes() (skshape.geometry.curve.CurveFamily method)

regions() (skshape.geometry.curve.CurveFamily method) reset_data() (skshape.geometry.curve.Curve method) (skshape.geometry.curve.CurveFamily method) (skshape.geometry.domain.Domain2d method) resolution() (skshape.numerics.function.AnisotropicMeshFunction method) (skshape.numerics.function.AnisotropicMeshFunction2 method) (skshape.numerics.function.CurvatureDependentMeshFunction method) (skshape.numerics.function.ImageFunction method) (skshape.numerics.function.MeshFunction method) (skshape.numerics.function.MeshFunction2 method) (skshape.numerics.function.MultiImageFunction method) reverse_orientation() (skshape.geometry.curve.Curve method) (skshape.geometry.curve.CurveFamily method) rmatvec() (skshape.numerics.matrix.BlockDiagMatrix method) (skshape.numerics.matrix.Matrix method) (skshape.numerics.matrix.MatrixWithRankOneUpdates method) (skshape.numerics.matrix.TridiagMatrix method)

S

safe_step_size() (skshape.geometry.curve.Curve method) (skshape.geometry.curve.CurveFamily method) second_fund_form() (skshape.geometry.curve.Curve method) (skshape.geometry.curve.CurveFamily method) segment_boundaries() (in module skshape.image.segmentation) (in module skshape.image.segmentation.segment) segment_phase_field() (in module skshape.image.segmentation) (in module skshape.image.segmentation.segment) segment_topology() (in module skshape.image.segmentation) set_accuracy() (skshape.image.segmentation.shape_energy.AnisotropicSurfaceEnergy method) (skshape.image.segmentation.shape_energy.IsotropicSurfaceEnergy method) (skshape.image.segmentation.shape_energy.PwConstRegionEnergy method) set_adaptivity() (skshape.geometry.curve.Curve method) (skshape.geometry.curve.CurveFamily method) set_boundary() (skshape.geometry.curve.CurveFamily method) set_data_adaptivity_criteria() (skshape.geometry.curve.Curve method) (skshape.geometry.curve.CurveFamily method) set_diag() (skshape.numerics.matrix.TridiagMatrix method) set_geometry() (skshape.geometry.curve.Curve method) set_orientation() (skshape.geometry.curve.Curve method) (skshape.geometry.curve.CurveFamily method) set_topology_changes() (skshape.geometry.curve.CurveFamily method) shape_derivative() (skshape.image.segmentation.shape_energy.ShapeEnergy method) shape_gradient() (skshape.image.segmentation.shape_energy.AnisotropicSurfaceEnergy method) (skshape.image.segmentation.shape_energy.IsotropicSurfaceEnergy method) (skshape.image.segmentation.shape_energy.PwConstRegionEnergy method) (skshape.image.segmentation.shape_energy.ShapeEnergy method) shape_gradient_norm() (skshape.image.segmentation.shape_energy.ShapeEnergy method) shape_hessian() (skshape.image.segmentation.shape_energy.AnisotropicSurfaceEnergy method) (skshape.image.segmentation.shape_energy.IsotropicSurfaceEnergy method) (skshape.image.segmentation.shape_energy.PwConstRegionEnergy method) (skshape.image.segmentation.shape_energy.ShapeEnergy method) ShapeEnergy (class in skshape.image.segmentation.shape_energy) show() (skshape.geometry.curve.Curve method) (skshape.geometry.curve.CurveFamily method) (skshape.geometry.domain.Domain2d method) size() (skshape.geometry.curve.Curve method) (skshape.geometry.curve.CurveFamily method) (skshape.geometry.domain.Domain2d method) (skshape.numerics.matrix.BlockDiagMatrix method) (skshape.numerics.matrix.Matrix method) (skshape.numerics.matrix.MatrixWithRankOneUpdates method) (skshape.numerics.matrix.TridiagMatrix method) skshape module skshape.geometry module skshape.geometry.curve module skshape.geometry.curve_adaptivity module skshape.geometry.curve_examples module skshape.geometry.curve_network module skshape.geometry.domain module

skshape.geometry.graphics module skshape.geometry.grid module skshape.geometry.mesh module skshape.image module skshape.image.enhancement module skshape.image.segmentation module skshape.image.segmentation.segment module skshape.image.segmentation.shape_energy module skshape.image.segmentation.shape_optimization module skshape.image.segmentation.topology_optimization module skshape.image.statistics module skshape.image.synthetic_image module skshape.numerics module skshape.numerics.fem module skshape.numerics.fem.curve_fem module skshape.numerics.fem.domain2d_fem module skshape.numerics.fem.grid_fem module skshape.numerics.function module skshape.numerics.integration module skshape.numerics.marking module skshape.numerics.matrix module smooth_all_curves() (in module skshape.geometry.curve_network) solve() (skshape.numerics.matrix.BlockDiagMatrix method) (skshape.numerics.matrix.Matrix method) (skshape.numerics.matrix.MatrixWithRankOneUpdates method) (skshape.numerics.matrix.TridiagMatrix method) solve_elliptic_pde() (in module skshape.numerics.fem.grid_fem) stiffness_matrix() (in module skshape.numerics.fem.curve_fem) submatrices() (skshape.numerics.matrix.BlockDiagMatrix method) submeshes() (skshape.geometry.curve.CurveFamily method) (skshape.geometry.mesh.Mesh method) surface_area() (skshape.geometry.curve.Curve method) (skshape.geometry.curve.CurveFamily method) SyntheticImage (class in skshape.image.synthetic_image)

T

tangents() (skshape.geometry.curve.Curve method) (skshape.geometry.curve.CurveFamily method) third_deriv() (skshape.image.synthetic_image.BallFunction method) (skshape.image.synthetic_image.BoxFunction method) (skshape.image.synthetic_image.SyntheticImage method) (skshape.numerics.function.AnisotropicMeshFunction method) (skshape.numerics.function.GeneralizedFunction method) (skshape.numerics.function.InnerProductFunction method) (skshape.numerics.function.MeshFunction method) to_sparse() (skshape.numerics.matrix.BlockDiagMatrix method) (skshape.numerics.matrix.TridiagMatrix method) topmost_curve_ids() (skshape.geometry.curve.CurveFamily method) transition_width() (skshape.image.synthetic_image.BallFunction method) (skshape.image.synthetic_image.BoxFunction method) (skshape.image.synthetic_image.SyntheticImage method) (skshape.numerics.function.AnisotropicMeshFunction method) (skshape.numerics.function.AnisotropicMeshFunction2 method) (skshape.numerics.function.BoxIndicatorFunction method) (skshape.numerics.function.CurvatureDependentMeshFunction method) (skshape.numerics.function.EdgeIndicatorFunction method) (skshape.numerics.function.GeneralizedFunction method) (skshape.numerics.function.ImageFunction method) (skshape.numerics.function.MeshFunction method) (skshape.numerics.function.MeshFunction2 method) (skshape.numerics.function.RadialFunction method)

triangles() (skshape.geometry.domain.Domain2d method) triangulate() (in module skshape.geometry.curve_network) triangulation_from_labels() (in module skshape.geometry.curve_network) tridiag_LU() (in module skshape.numerics.matrix) tridiag_solve() (in module skshape.numerics.matrix) tridiag_solve_from_LU() (in module skshape.numerics.matrix) TridiagMatrix (class in skshape.numerics.matrix)

U

UnitVectorFunction (class in skshape.numerics.function)

update_vectors() (skshape.numerics.matrix.MatrixWithRankOneUpdates method)

V

vertices() (skshape.geometry.domain.Domain2d method) volume() (skshape.geometry.curve.Curve method) (skshape.geometry.curve.CurveFamily method) (skshape.geometry.domain.Domain2d method)

W

weighted_mass_matrix() (in module skshape.numerics.fem.curve_fem) weighted_smoothing() (in module skshape.image.enhancement)

weighted_stiffness_matrix() (in module skshape.numerics.fem.curve_fem) weights() (skshape.numerics.integration.Quadrature method)