circle_bundles
Getting started
Installation
Basic installation
Optional dependencies
Developer installation
Verifying the installation
Quickstart
Minimal Working Example
Theory
Theory
Introduction
Algorithms
Overview
Cocycle Fitting
Classification
Coordinatization
Algorithm 1: Local Trivializations and Transition Matrices
Algorithm 2: Characteristic Classes
Algorithm 3: Pullback Bundle Coordinates
API reference
API Reference
Core pipeline
Bundle
Result and Configuration Dataclasses
Main Result Containers
Lower-Level Result Containers
Configuration Objects
Covers
circle_bundles.CoverData
circle_bundles.get_metric_ball_cover
circle_bundles.get_s2_fibonacci_cover
circle_bundles.get_rp2_fibonacci_cover
Metrics
circle_bundles.EuclideanMetric
circle_bundles.S1AngleMetric
circle_bundles.RP1AngleMetric
circle_bundles.S1UnitVectorMetric
circle_bundles.RP1UnitVectorMetric
circle_bundles.RP2UnitVectorMetric
circle_bundles.T2FlatMetric
circle_bundles.Torus_DiagQuotientMetric_R4
circle_bundles.Torus_KleinQuotientMetric_R4
circle_bundles.RP2_TrivialMetric
circle_bundles.RP2_TwistMetric
circle_bundles.RP2_FlipMetric
circle_bundles.S3QuotientMetric
Analysis utilities
circle_bundles.fiberwise_clustering
circle_bundles.get_local_pca
circle_bundles.get_local_rips
circle_bundles.plot_local_rips
circle_bundles.get_cocycle_dict
circle_bundles.lift_base_points
Visualization utilities
circle_bundles.viz
Synthetic datasets
circle_bundles.synthetic
Optical flow utilities
circle_bundles.optical_flow
Tutorials
Tutorials
All Tutorials
Torus With Varying Fiber Radius
Folded Klein Bottle
Synthetic Natural Image Patches
Sintel Optical Flow Dataset
Star Pyramid Meshes
Triangle Prism Densities
Star Density Unwrapping
Quotient Bundles
All Tutorials
References
Citing
Software
Papers
References
circle_bundles
Index
Index
_
|
B
|
C
|
D
|
E
|
F
|
G
|
H
|
K
|
L
|
M
|
N
|
O
|
P
|
R
|
S
|
T
|
U
|
V
_
__init__() (circle_bundles.BundleMapResult method)
(circle_bundles.BundleQualityReport method)
(circle_bundles.ClassesAndPersistence method)
(circle_bundles.CobirthResult method)
(circle_bundles.CodeathResult method)
(circle_bundles.CoverData method)
(circle_bundles.DreimacCCConfig method)
(circle_bundles.EuclideanMetric method)
(circle_bundles.FrameReducerConfig method)
(circle_bundles.LocalTrivsResult method)
(circle_bundles.NerveSummary method)
(circle_bundles.O2Cocycle method)
(circle_bundles.PersistenceResult method)
(circle_bundles.RP1AngleMetric method)
(circle_bundles.RP1UnitVectorMetric method)
(circle_bundles.RP2UnitVectorMetric method)
(circle_bundles.S1AngleMetric method)
(circle_bundles.S1UnitVectorMetric method)
(circle_bundles.T2FlatMetric method)
B
base_name (circle_bundles.RP1AngleMetric attribute)
(circle_bundles.RP1UnitVectorMetric attribute)
(circle_bundles.RP2UnitVectorMetric attribute)
(circle_bundles.S1AngleMetric attribute)
(circle_bundles.S1UnitVectorMetric attribute)
(circle_bundles.T2FlatMetric attribute)
base_name_latex (circle_bundles.RP1AngleMetric attribute)
(circle_bundles.RP1UnitVectorMetric attribute)
(circle_bundles.RP2UnitVectorMetric attribute)
(circle_bundles.S1AngleMetric attribute)
(circle_bundles.S1UnitVectorMetric attribute)
(circle_bundles.T2FlatMetric attribute)
base_vis() (in module circle_bundles.viz)
Bundle (class in circle_bundles)
BundleMapResult (class in circle_bundles)
BundleQualityReport (class in circle_bundles)
C
circle_bundles.optical_flow
module
circle_bundles.synthetic
module
circle_bundles.viz
module
CircularCoords_cls (circle_bundles.DreimacCCConfig attribute)
ClassesAndPersistence (class in circle_bundles)
CobirthResult (class in circle_bundles)
CodeathResult (class in circle_bundles)
compare_trivs() (circle_bundles.Bundle method)
(in module circle_bundles.viz)
complete_orientations() (circle_bundles.O2Cocycle method)
CoverData (class in circle_bundles)
cutoff_weight (circle_bundles.CobirthResult attribute)
D
d (circle_bundles.FrameReducerConfig attribute)
det (circle_bundles.O2Cocycle attribute)
DreimacCCConfig (class in circle_bundles)
E
edge_weights (circle_bundles.PersistenceResult attribute)
err (circle_bundles.O2Cocycle attribute)
EuclideanMetric (class in circle_bundles)
F
F (circle_bundles.BundleMapResult attribute)
fiber_vis() (in module circle_bundles.viz)
fiberwise_clustering() (in module circle_bundles)
FrameReducerConfig (class in circle_bundles)
G
get_classes() (circle_bundles.Bundle method)
get_cocycle_dict() (in module circle_bundles)
get_contrast_norms() (in module circle_bundles.optical_flow)
get_dct_basis() (in module circle_bundles.optical_flow)
get_density_axes() (in module circle_bundles.synthetic)
get_frame_dataset() (circle_bundles.Bundle method)
get_global_trivialization() (circle_bundles.Bundle method)
get_gradient_dirs() (in module circle_bundles.synthetic)
get_lifted_predominant_dirs() (in module circle_bundles.optical_flow)
get_local_pca() (in module circle_bundles)
get_local_rips() (in module circle_bundles)
get_local_trivs() (circle_bundles.Bundle method)
get_mesh_sample() (in module circle_bundles.synthetic)
get_metric_ball_cover() (in module circle_bundles)
get_patch_sample() (in module circle_bundles.optical_flow)
get_patch_types_list() (in module circle_bundles.synthetic)
get_predominant_dirs() (in module circle_bundles.optical_flow)
get_rp2_fibonacci_cover() (in module circle_bundles)
get_s2_fibonacci_cover() (in module circle_bundles)
get_simplices() (circle_bundles.Bundle method)
H
hopf_projection() (in module circle_bundles.synthetic)
K
k_removed (circle_bundles.CobirthResult attribute)
L
landmarks_per_patch (circle_bundles.DreimacCCConfig attribute)
lattice_vis() (in module circle_bundles.viz)
lift_base_points() (in module circle_bundles)
LocalTrivsResult (class in circle_bundles)
M
make_all_step_edges() (in module circle_bundles.synthetic)
make_density_visualizer() (in module circle_bundles.synthetic)
make_flow_patches() (in module circle_bundles.synthetic)
make_patch_visualizer() (in module circle_bundles.optical_flow)
make_star_pyramid() (in module circle_bundles.synthetic)
make_star_pyramid_visualizer() (in module circle_bundles.synthetic)
make_step_edges() (in module circle_bundles.synthetic)
make_tri_prism() (in module circle_bundles.synthetic)
make_tri_prism_visualizer() (in module circle_bundles.synthetic)
max_frames (circle_bundles.FrameReducerConfig attribute)
mean_center() (in module circle_bundles.synthetic)
mesh_to_density() (in module circle_bundles.synthetic)
mesh_vertex_normals() (in module circle_bundles.synthetic)
meta (circle_bundles.BundleMapResult attribute)
method (circle_bundles.FrameReducerConfig attribute)
module
circle_bundles.optical_flow
circle_bundles.synthetic
circle_bundles.viz
N
name (circle_bundles.EuclideanMetric attribute)
(circle_bundles.RP1AngleMetric attribute)
(circle_bundles.RP1UnitVectorMetric attribute)
(circle_bundles.RP2UnitVectorMetric attribute)
(circle_bundles.S1AngleMetric attribute)
(circle_bundles.S1UnitVectorMetric attribute)
(circle_bundles.T2FlatMetric attribute)
nerve_vis() (in module circle_bundles.viz)
NerveSummary (class in circle_bundles)
O
O2Cocycle (class in circle_bundles)
Omega (circle_bundles.O2Cocycle attribute)
omega_O1() (circle_bundles.O2Cocycle method)
Omega_used (circle_bundles.BundleMapResult attribute)
omega_Z2() (circle_bundles.O2Cocycle method)
orient_if_possible() (circle_bundles.O2Cocycle method)
P
pairwise() (circle_bundles.EuclideanMetric method)
(circle_bundles.RP1AngleMetric method)
(circle_bundles.RP1UnitVectorMetric method)
(circle_bundles.RP2UnitVectorMetric method)
(circle_bundles.S1AngleMetric method)
(circle_bundles.S1UnitVectorMetric method)
(circle_bundles.T2FlatMetric method)
persistence (circle_bundles.ClassesAndPersistence attribute)
PersistenceResult (class in circle_bundles)
Phi_used (circle_bundles.BundleMapResult attribute)
plot_local_rips() (in module circle_bundles)
pre_F (circle_bundles.BundleMapResult attribute)
preprocess_flow_patches() (in module circle_bundles.optical_flow)
prime (circle_bundles.DreimacCCConfig attribute)
project_o3() (in module circle_bundles.synthetic)
psc_verbosity (circle_bundles.FrameReducerConfig attribute)
R
read_flo() (in module circle_bundles.optical_flow)
ref_angle (circle_bundles.O2Cocycle attribute)
removed_edges (circle_bundles.CobirthResult attribute)
report (circle_bundles.BundleMapResult attribute)
reps (circle_bundles.ClassesAndPersistence attribute)
restrict() (circle_bundles.O2Cocycle method)
restricted (circle_bundles.ClassesAndPersistence attribute)
rng_seed (circle_bundles.FrameReducerConfig attribute)
RP1AngleMetric (class in circle_bundles)
RP1UnitVectorMetric (class in circle_bundles)
RP2_FlipMetric() (in module circle_bundles)
RP2_TrivialMetric() (in module circle_bundles)
RP2_TwistMetric() (in module circle_bundles)
RP2UnitVectorMetric (class in circle_bundles)
S
S1AngleMetric (class in circle_bundles)
S1UnitVectorMetric (class in circle_bundles)
S3QuotientMetric() (in module circle_bundles)
sample_binary_step_edges() (in module circle_bundles.synthetic)
sample_foldy_klein_bottle() (in module circle_bundles.synthetic)
sample_from_frame() (in module circle_bundles.optical_flow)
sample_nat_img_kb() (in module circle_bundles.synthetic)
sample_opt_flow_torus() (in module circle_bundles.synthetic)
sample_R3_torus() (in module circle_bundles.synthetic)
sample_s2_trivial() (in module circle_bundles.synthetic)
sample_so3() (in module circle_bundles.synthetic)
sample_sphere() (in module circle_bundles.synthetic)
sample_step_edge_torus() (in module circle_bundles.synthetic)
scatter_lattice_vis() (in module circle_bundles.viz)
show_bundle_vis() (in module circle_bundles.viz)
show_circle_nerve() (circle_bundles.Bundle method)
show_data_vis() (in module circle_bundles.viz)
show_nerve() (circle_bundles.Bundle method)
show_pca() (in module circle_bundles.viz)
show_summary() (circle_bundles.NerveSummary method)
stage (circle_bundles.FrameReducerConfig attribute)
standard_range (circle_bundles.DreimacCCConfig attribute)
summary() (circle_bundles.Bundle method)
summary_text (circle_bundles.ClassesAndPersistence attribute)
sw1 (circle_bundles.PersistenceResult attribute)
T
T2FlatMetric (class in circle_bundles)
theta (circle_bundles.O2Cocycle attribute)
theta_normalized() (circle_bundles.O2Cocycle method)
Torus_DiagQuotientMetric_R4() (in module circle_bundles)
Torus_KleinQuotientMetric_R4() (in module circle_bundles)
twisted_euler (circle_bundles.PersistenceResult attribute)
U
update_frac (circle_bundles.DreimacCCConfig attribute)
V
vertices (circle_bundles.PersistenceResult attribute)