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
  • Tutorials
  • All Tutorials
  • View page source

All Tutorials

A single flat collection of tutorial notebooks.

Torus With Varying Fiber Radius
Torus With Varying Fiber Radius
Folded Klein Bottle
Folded Klein Bottle
Synthetic Natural Image Patches
Synthetic Natural Image Patches
Sintel Optical Flow Dataset
Sintel Optical Flow Dataset
Star Pyramid Meshes
Star Pyramid Meshes
Triangle Prism Densities
Triangle Prism Densities
Star Density Unwrapping
Star Density Unwrapping
Quotient Bundles
Quotient Bundles
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