Mathematical morphology on directional data
Statistics Theory
2023-11-20 v1 Statistics Theory
Abstract
We define morphological operators and filters for directional images whose pixel values are unit vectors. This requires an ordering relation for unit vectors which is obtained by using depth functions. They provide a centre-outward ordering with respect to a specified centre vector. We apply our operators on synthetic directional images and compare them with classical morphological operators for grey-scale images. As application examples, we enhance the fault region in a compressed glass foam and segment misaligned fibre regions of glass fibre reinforced polymers.
Cite
@article{arxiv.2311.10639,
title = {Mathematical morphology on directional data},
author = {Konstantin Hauch and Claudia Redenbach},
journal= {arXiv preprint arXiv:2311.10639},
year = {2023}
}
Comments
19 pages