Dual fractals

This paper presents some definitions and propositions concerning to dual fractals. Among them, dual-similarity plays a key-role not only in generating dual fractals but also in handling inter-pattern relations. Dual-similarity is basically defined as a pair of the similarity relations between two pa...

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Bibliographic Details
Published inImage and vision computing Vol. 26; no. 5; pp. 622 - 631
Main Author Ozawa, Kazumasa
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.05.2008
Subjects
Dual fractals
Dual-similarity
Feature extraction
Hutchinson operator
Image coding
Secret sharing
Template matching
Dual-similarity
Image coding
Feature extraction
Secret sharing
Dual fractals
Template matching
Hutchinson operator
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Summary:This paper presents some definitions and propositions concerning to dual fractals. Among them, dual-similarity plays a key-role not only in generating dual fractals but also in handling inter-pattern relations. Dual-similarity is basically defined as a pair of the similarity relations between two patterns, from which two mirror operators have been derived. This paper shows that each mirror operator is nothing but a contraction mapping associated with a unique attractor. Next, the mirror operator has been extended to ring mapping defined as a cyclic sequence of contraction mappings for a sequence of patterns. Basic experiments have been carried out, correlating with some application schemes, to verify the obtained theoretical outcomes in the sense of approximation to the truth.
ISSN:0262-8856
1872-8138
DOI:10.1016/j.imavis.2007.07.012