arXiv:2503.00400cs.CVcs.RO2025-03
提出两种球面函数的区间分析方法，解决鲁棒透视多线问题
Inteval Analysis for two spherical functions arising from robust Perspective-n-Lines problem
- 基于降维思想分析两类球面函数的区间特性
- 理论证明结合数值实验，确保全局解可靠性
- 适合从事几何计算与鲁棒视觉求解的研究者
本报告系统研究了从鲁棒透视多线（PnL）问题中导出的两个球面函数的区间分析。研究动机源于通过降维技术实现鲁棒PnL问题的全局求解。文中建立了严格的理论结果，并辅以详尽的证明，同时通过大量数值模拟验证了结论的有效性。
原文摘要 · Abstract (English)
This report presents a comprehensive interval analysis of two spherical functions derived from the robust Perspective-n-Lines (PnL) problem. The study is motivated by the application of a dimension-reduction technique to achieve global solutions for the robust PnL problem. We establish rigorous theoretical results, supported by detailed proofs, and validate our findings through extensive numerical simulations.
几何计算鲁棒估计区间分析
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