تقرير
Algebra and Geometry of Camera Resectioning
| العنوان: | Algebra and Geometry of Camera Resectioning |
|---|---|
| المؤلفون: | Connelly, Erin, Duff, Timothy, Loucks-Tavitas, Jessie |
| سنة النشر: | 2023 |
| المجموعة: | Computer Science Mathematics |
| مصطلحات موضوعية: | Mathematics - Algebraic Geometry, Computer Science - Computer Vision and Pattern Recognition, Mathematics - Commutative Algebra, 13P10, 14Q99, 68T45 |
| الوصف: | We study algebraic varieties associated with the camera resectioning problem. We characterize these resectioning varieties' multigraded vanishing ideals using Gr\"obner basis techniques. As an application, we derive and re-interpret celebrated results in geometric computer vision related to camera-point duality. We also clarify some relationships between the classical problems of optimal resectioning and triangulation, state a conjectural formula for the Euclidean distance degree of the resectioning variety, and discuss how this conjecture relates to the recently-resolved multiview conjecture. Comment: 27 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2309.04028 |
| رقم الأكسشن: | edsarx.2309.04028 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |