Approximate the product between infinite functional objects on a manifold -- i.e. belief products. ApproxManifoldProducts (AMP) is intended for use with the Caesar.jl framework. AMP is intended for development and testing of various kernel embedding methods for approximating functional products.
See Caesar documentation for more details.
For Julia 0.7 and above press ']' in the Julia REPL:
pkg> add ApproxManifoldProducts
Current Supported (Mixed) Manifolds
The following on-manifold function approximations:
- Euclidean (2DOF),
- S1/Circular (1DOF), or SO(2) equivalent.
- S2 (not implemented yet)
Work in progress on so-called 'subgroup' mixed-manifolds, where DOFs are bunched together for particular manifolds:
- SO(3) / Quaternion,
- Plucker coordinates (SP(3)) for rigid transforms,
- SE(3) for rigid transforms.
Implementation of multivariate methodology requires code to consider "double loops" that iterate over sub-groups, and then within each sub-group as required. The supported list above can be implemented with "single loop" over all DOFs.
Any suggestions or issues welcome.