Elastic Analysis of Augmented Curves and Constrained Surfaces
Differential Geometry
2024-03-29 v3 Numerical Analysis
Numerical Analysis
Abstract
The square root velocity transformation provides a convenient and numerically efficient approach to functional and shape data analysis of curves. We study fundamental geometric properties of curves under this transformation. Moreover, utilizing natural geometric constructions, we employ the approach for intrinsic comparison within several classes of surfaces and augmented curves, which arise in the real world applications such as tubes, ruled surfaces, spherical strips, protein molecules and hurricane tracks.
Keywords
Cite
@article{arxiv.2402.04944,
title = {Elastic Analysis of Augmented Curves and Constrained Surfaces},
author = {Esfandiar Nava-Yazdani},
journal= {arXiv preprint arXiv:2402.04944},
year = {2024}
}