Title
A novel family of edge preserving anisotropic filters
Abstract
In this article, new anisotropic image filters are introduced and their performances are compared with existing isotropic and anisotropic filters. The developed filters were examined according to their image noise removing performances in terms of standard image quality metrics, as well as the edge preserving properties of the filtered images. Mathematical inferences of anisotropic filters are made based on the minimization of the Polyakov action energy integral. New anisotropic metrics are found by means of Finsler metrics that minimize the corresponding integral. The new metrics perform filtering by updating the image with anisotropic Laplace-Beltrami flow. After filtering, it was observed that the introduced metrics perform well against other anisotropic metrics. It is also observed that the developed New Randers, New Normalized Miron, and New Metric filters preserve edges better than other filters, making it a plausible noise removal tool prior to edge detection in image processing. The source codes of proposed filters are publicly available at https://github.com/HAYDARKILIC.
Year
DOI
Venue
2022
10.1016/j.dsp.2022.103623
Digital Signal Processing
Keywords
DocType
Volume
Noise reduction,Edge preservation,Polyakov action,Finsler,Beltrami flow,Anisotropic filter
Journal
128
ISSN
Citations 
PageRank 
1051-2004
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Haydar Kilic100.34
Salim Ceyhan200.34
Ömer Nezih Gerek311819.51