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Representation and ...
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Sladoje, NatasaUppsala universitet,Centrum för bildanalys,Datoriserad bildanalys
(författare)
Representation and Reconstruction of Fuzzy Disks by Moments
- Artikel/kapitelEngelska2007
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Elsevier BV,2007
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LIBRIS-ID:oai:DiVA.org:uu-18180
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https://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-18180URI
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https://doi.org/10.1016/j.fss.2006.09.017DOI
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Språk:engelska
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Sammanfattning på:engelska
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Ämneskategori:art swepub-publicationtype
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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.
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Lindblad, JoakimUppsala universitet,Datoriserad bildanalys,Centrum för bildanalys(Swepub:uu)joali534
(författare)
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Uppsala universitetCentrum för bildanalys
(creator_code:org_t)
Sammanhörande titlar
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Ingår i:Fuzzy sets and systems (Print): Elsevier BV158:5, s. 517-5340165-01141872-6801
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