Elements of a Fuzzy Geometry for Visual Space

M. Ferraro, D. H. Foster

    Research output: Chapter in Book/Conference proceedingConference contributionpeer-review

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    Abstract

    This study introduces the notions of fuzzy location and fuzzy proximity to capture the imprecision associated with judgements of absolute and relative visual position. These notions are used to establish the elements of a fuzzy geometry for visual space, including the fuzzy betweenness of points, the fuzzy orientation of a pair of points, and the fuzzy collinearity of three or more points. Fuzzy orientation and fuzzy collinearity are, in turn, used to define the fuzzy straightness of a curve and the fuzzy tangency of two curves.
    Original languageEnglish
    Title of host publicationShape in Picture: Mathematical Description of Shape in Grey-level Images
    Place of PublicationBerlin
    PublisherSpringer Nature
    Publication statusPublished - 1994

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