A Family of Metrics and Quasi-geodesics on the Manifold of Essential Matrices
Abstract
The manifold of essential matrices is equipped with a one-parameter family of (pseudo-)Riemannian metrics. For the whole family, explicit formulas for geodesics are derived. Moreover, specific curves, so-called quasi-geodesics, are studied and a closed form expression for a quasi-geodesic connecting two given essential matrices is obtained.
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| Titel | A Family of Metrics and Quasi-geodesics on the Manifold of Essential Matrices |
|---|---|
| Medien | APCA International Conference on Automatic Control and Soft Computing |
| Verlag | CONTROLO 2024 |
| Band | 2024 |
| Verfasser | Markus Schlarb |
| Veröffentlichungsdatum | 18.07.2024 |
| Projekttitel | DyCA |
| Zitation | Schlarb, Markus (2024): A Family of Metrics and Quasi-geodesics on the Manifold of Essential Matrices. APCA International Conference on Automatic Control and Soft Computing 2024. |