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Scale Space Smoothing, Image Feature Extraction and Bessel Filters

Scale Space Smoothing, Image Feature Extraction and Bessel Filters
Scale Space Smoothing, Image Feature Extraction and Bessel Filters
The Green function of Mumford-Shah functional in the absence of discontinuities is known to be a modified Bessel function of the second kind and zero degree. Such a Bessel function is regularized here and used as a filter for feature extraction. It is demonstrated in this paper that a Bessel filter does not follow the scale space smoothing property of bounded linear filters such as Gaussian filters. The features extracted by the Bessel filter are therefore scale invariant. Edges, blobs, and junctions are features considered here to show that the extracted features remain unchanged by varying the scale of a Bessel filter. The scale invariance property of Bessel filters for edges is analytically proved here. We conjecture that Bessel filters also enjoy this scale invariance property for other kinds of features. The experimental results presented
625-634
Mahmoodi, Sasan
91ca8da4-95dc-4c1e-ac0e-f2c08d6ac7cf
Gunn, Steve
306af9b3-a7fa-4381-baf9-5d6a6ec89868
Mahmoodi, Sasan
91ca8da4-95dc-4c1e-ac0e-f2c08d6ac7cf
Gunn, Steve
306af9b3-a7fa-4381-baf9-5d6a6ec89868

Mahmoodi, Sasan and Gunn, Steve (2011) Scale Space Smoothing, Image Feature Extraction and Bessel Filters. Lecture Notes in Computer Science-17th Scandinavian Conference on Image Analysis, Sweden. 23 - 27 May 2011. pp. 625-634 .

Record type: Conference or Workshop Item (Poster)

Abstract

The Green function of Mumford-Shah functional in the absence of discontinuities is known to be a modified Bessel function of the second kind and zero degree. Such a Bessel function is regularized here and used as a filter for feature extraction. It is demonstrated in this paper that a Bessel filter does not follow the scale space smoothing property of bounded linear filters such as Gaussian filters. The features extracted by the Bessel filter are therefore scale invariant. Edges, blobs, and junctions are features considered here to show that the extracted features remain unchanged by varying the scale of a Bessel filter. The scale invariance property of Bessel filters for edges is analytically proved here. We conjecture that Bessel filters also enjoy this scale invariance property for other kinds of features. The experimental results presented

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Published date: 23 May 2011
Additional Information: Event Dates: 23-27 May 2011
Venue - Dates: Lecture Notes in Computer Science-17th Scandinavian Conference on Image Analysis, Sweden, 2011-05-23 - 2011-05-27
Organisations: Electronic & Software Systems, Southampton Wireless Group

Identifiers

Local EPrints ID: 272038
URI: https://eprints.soton.ac.uk/id/eprint/272038
PURE UUID: d6a25f49-ff75-4f46-bfa3-70ca0c77e8e1

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Date deposited: 17 Feb 2011 10:33
Last modified: 09 Dec 2019 20:09

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Contributors

Author: Sasan Mahmoodi
Author: Steve Gunn

University divisions

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