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Representation and Reconstruction of Fuzzy Disks by Moments
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- Sladoje, Natasa (author)
- Uppsala universitet,Centrum för bildanalys,Datoriserad bildanalys
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- Lindblad, Joakim (author)
- Uppsala universitet,Datoriserad bildanalys,Centrum för bildanalys
- (creator_code:org_t)
- Elsevier BV, 2007
- 2007
- English.
- In: Fuzzy sets and systems (Print). - : Elsevier BV. - 0165-0114 .- 1872-6801. ; 158:5, s. 517-534
- Journal article (peer-reviewed)
Abstract
Subject headings
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- In this paper, we analyze the representation and reconstruction of fuzzy disks by using moments. Both continuous and digital fuzzy disks are considered. A fuzzy disk is a convex fuzzy spatial set, where the membership of a point to the fuzzy disk depends only on the distance of the point to the centre of the disk. We show that, for a certain class of membership functions defining a fuzzy disk, there exists a one-to-one correspondence between the set of fuzzy disks and the set of their generalized moment representations. Theoretical error bounds for the accuracy of the estimation of generalized moments of a continuous fuzzy disk from the generalized moments of its digitization and, in connection with that, the accuracy of an approximate reconstruction of a continuous fuzzy disk from the generalized moments of its digitization, are derived. Defuzzification (reduction of a continuous fuzzy disk to a crisp representative) is also considered. A statistical study of generated synthetic objects complements the theoretical results.
Subject headings
- NATURVETENSKAP -- Data- och informationsvetenskap (hsv//swe)
- NATURAL SCIENCES -- Computer and Information Sciences (hsv//eng)
Keyword
- Image processing
- Geometric moments
- Shape representation
- Shape reconstruction
- Parameter estimation
- Defuzzification
- Information technology
- Informationsteknik
Publication and Content Type
- ref (subject category)
- art (subject category)
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