A Note on Weighted Fermat Problem in Lp Space
Optimization and Control
2016-11-18 v3 Metric Geometry
Abstract
In this paper, we begin by introducing a well-known geometry concept: the Fermat point in a triangle. Then, we generalize the problem and propose an iterative algorithm based on gradient descent to the weighted form in Lp space. We also build specific solutions to some special norms: one, two and infinity. We show that the solution may not be unique in norm-one and infinity. Finally, we provide our qualitative results in the PASCAL-based program.
Cite
@article{arxiv.1312.6748,
title = {A Note on Weighted Fermat Problem in Lp Space},
author = {Shikun Liu},
journal= {arXiv preprint arXiv:1312.6748},
year = {2016}
}
Comments
8 pages, 4 figures, 3 tables