Abstract
We construct and implement a uniformly distributed sequence in the orthogonal group O(n). From this sequence we obtain a uniformly distributed sequence on the Grassmannian manifold G(n,k), which we use to approximate integral-geometric formulas. We show that our algorithm compares well with classical random constructions which motivates various directions for future research.
Original language | English |
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Pages (from-to) | 13-22 |
Number of pages | 10 |
Journal | Mathematics and Computers in Simulation |
Volume | 160 |
Early online date | 12 Dec 2018 |
DOIs | |
Publication status | Published - 01 Jun 2019 |
Keywords
- Compact topological group
- Crofton formula
- Grassmannian manifold
- Orthogonal group
- Uniform distribution
ASJC Scopus subject areas
- Theoretical Computer Science
- General Computer Science
- Numerical Analysis
- Modelling and Simulation
- Applied Mathematics