Corpus ID: 86631784

Stiefel manifolds and polygons.

@article{Shonkwiler2019StiefelMA,
  title={Stiefel manifolds and polygons.},
  author={C. Shonkwiler},
  journal={arXiv: History and Overview},
  year={2019}
}
  • C. Shonkwiler
  • Published 2019
  • Computer Science, Mathematics
  • arXiv: History and Overview
Polygons are compound geometric objects, but when trying to understand the expected behavior of a large collection of random polygons -- or even to formalize what a random polygon is -- it is convenient to interpret each polygon as a point in some parameter space, essentially trading the complexity of the object for the complexity of the space. In this paper I describe such an interpretation where the parameter space is a Stiefel manifold and show how to exploit the geometry of the Stiefel… Expand

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References

SHOWING 1-10 OF 11 REFERENCES
Random Triangles and Polygons in the Plane
Polygon spaces and Grassmannians
Probability Theory of Random Polygons from the Quaternionic Viewpoint
The Geometry of Algorithms with Orthogonality Constraints
On the embeddability of the real projective spaces
Knot types of generalized Kirchhoff rods
Discrete Frenet frame, inflection point solitons, and curve visualization with applications to folded proteins.
Numerical methods for computing angles between linear subspaces
The computation of elementary unitary matrices
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