DeformationPaths.jl

A package for approximating continuous motions of geometric constraint systems using Riemannian optimization techniques and homotopy continuation.

The logo of this package is inspired by the Gough-Stewart platform, which is a body-bar framework that is a popular object of study in numerical algebraic geometry and applied rigidity theory. It has been stylized in the Julia colors.

Contents

Usage Guide

• Guide for Using the package DeformationPaths.jl
• • Installation
  • Usage
  • Exported functions

API Reference

• API Reference
• DeformationPath Constructors
• Constraint System Constructors
• • Types of Geometric Constraint Systems
  • Transformations
• Visualization Capabilities
• • Plotting Capabilities
  • Animation Methods
• Auxiliary Functions
• • Rigidity Checks
  • Predictor-Corrector Methods
  • Infinitessimal Flexes
  • Transformation Methods
  • Special Polytope Methods