非齐次自相测度在广义绝对连续性域中的例外
机器人学
2025-02-18 v2 计算几何
摘要
非齐次自相测度在相似维数大于一的参数域中普遍为绝对连续，参见 \cite{[SSS]}。本文利用某些代数曲线在此域中构造特殊的奇异非齐次自相测度。
引用
@article{arxiv.2410.08784,
title = {Omnidirectional Sensor Placement: A Large-Scale Computational Study and Novel Hybrid Accelerated-Refinement Heuristics},
author = {Jan Mikula and Miroslav Kulich},
journal= {arXiv preprint arXiv:2410.08784},
year = {2025}
}
备注
30 pages, 33 figures; major revision of the previous version titled "Hybrid Filtering Heuristic for the Sensor-Placement Problem to Discretize 2D Continuous Environments"; submitted to Robotics and Autonomous Systems; associated repository: https://github.com/janmikulacz/spp