Accuracy Improvements for Convolutional and Differential Distance Function Approximations
Numerical Analysis
2024-12-13 v1 Computer Vision and Pattern Recognition
Numerical Analysis
Abstract
Given a bounded domain, we deal with the problem of estimating the distance function from the internal points of the domain to the boundary of the domain. Convolutional and differential distance estimation schemes are considered and, for both the schemes, accuracy improvements are proposed and evaluated. Asymptotics of Laplace integrals and Taylor series extrapolations are used to achieve the improvements.
Cite
@article{arxiv.2412.09200,
title = {Accuracy Improvements for Convolutional and Differential Distance Function Approximations},
author = {Alexander Belyaev and Pierre-Alain Fayolle},
journal= {arXiv preprint arXiv:2412.09200},
year = {2024}
}