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Scale invariant filtering design and analysis for edge detection

Scale invariant filtering design and analysis for edge detection
Scale invariant filtering design and analysis for edge detection
Existing edge detection filters work well on straight edges but make significant errors near sharp corners by producing rounded corners. This is due to the fact that the edge maps produced by these filters are scale variant. We enhance Canny’s optimality criteria to incorporate detection performance near corners as an explicit design objective. The resulting optimal filter, termed “Bessel integral filter” can be derived analytically and exhibits superior performance over recent alternatives, both in terms of numerical accuracy and experimental fidelity. A noise free localization index is also derived here to account for the detection accuracy of discontinuities forming sharp corners in the absence of noise. We prove here that edges detected by the filters which are not optimal with respect to this noise free localization index are scale variant. However the Bessel integral filter proposed here is optimal with respect to the noise free localization index and therefore it is a scale invariant filter
1364-5021
1719-1738
Mahmoodi, Sasan
91ca8da4-95dc-4c1e-ac0e-f2c08d6ac7cf
Mahmoodi, Sasan
91ca8da4-95dc-4c1e-ac0e-f2c08d6ac7cf

Mahmoodi, Sasan (2011) Scale invariant filtering design and analysis for edge detection. Proceedings of the Royal Society A, 467 (2130), 1719-1738. (doi:10.1098/rspa.2010.0475).

Record type: Article

Abstract

Existing edge detection filters work well on straight edges but make significant errors near sharp corners by producing rounded corners. This is due to the fact that the edge maps produced by these filters are scale variant. We enhance Canny’s optimality criteria to incorporate detection performance near corners as an explicit design objective. The resulting optimal filter, termed “Bessel integral filter” can be derived analytically and exhibits superior performance over recent alternatives, both in terms of numerical accuracy and experimental fidelity. A noise free localization index is also derived here to account for the detection accuracy of discontinuities forming sharp corners in the absence of noise. We prove here that edges detected by the filters which are not optimal with respect to this noise free localization index are scale variant. However the Bessel integral filter proposed here is optimal with respect to the noise free localization index and therefore it is a scale invariant filter

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Published date: 1 June 2011
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 271511
URI: http://eprints.soton.ac.uk/id/eprint/271511
ISSN: 1364-5021
PURE UUID: 262c3854-9cc6-42f8-98f3-176e16513859

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Date deposited: 02 Sep 2010 11:41
Last modified: 09 Dec 2019 20:10

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Author: Sasan Mahmoodi

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