An Approach Towards Image Edge Detection Based on Interval-Valued Fuzzy Mathematical Morphology and Admissible Orders

DOI

10.2991/eusflat-19.2019.96How to use a DOI?

Keywords

Interval-valued fuzzy mathematical morphology L-fuzzy mathematical morphology Lattice theory Admissible order Image processing Edge detection

Abstract

Edge detection is an important step for pre-processing digital images before more advanced methods of image analysis such as segmentation can be applied. There are an infite number of edge detectors that can be derived from pairs of fuzzy dilation and erosion operators. Usually, an edge detector is based on the incorrect assumption that there is no uncertainty regarding the pixel values of the given digital image. The approach presented in this paper does not rely on this assumption. Instead, the uncertainty regarding the pixel values is modelled in terms of an interval-valued image. After an application of an interval-valued fuzzy dilation and erosion, we are able to produce a crisp edge image after a number of steps including an order-preserving transformation based on an admissible order.

Copyright

© 2019, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Peter Sussner
AU  - Lisbeth Corbacho Carazas
PY  - 2019/08
DA  - 2019/08
TI  - An Approach Towards Image Edge Detection Based on Interval-Valued Fuzzy Mathematical Morphology and Admissible Orders
BT  - Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT 2019)
PB  - Atlantis Press
SP  - 690
EP  - 697
SN  - 2589-6644
UR  - https://doi.org/10.2991/eusflat-19.2019.96
DO  - 10.2991/eusflat-19.2019.96
ID  - Sussner2019/08
ER  -