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    Using state diagrams for Hilbert curve mappings

    Lawder, J.K. and King, Peter J.H. (2001) Using state diagrams for Hilbert curve mappings. International Journal of Computer Mathematics 78 (3), pp. 327-342. ISSN 0020-7160.

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    The Hilbert Curve describes a method of mapping between one and n dimensions. Such mappings are of interest in a number of application domains including image processing and, more recently, in the indexing of multi-dimensional data. Relatively little work, however, has been devoted to techniques for mapping in more that 2 dimensions. This paper presents a technique for constructing state diagrams to facilitate mappings and is a specialization of an incomplete generic process described by Bially. Although the storage requirements for state diagrams increase exponentially with the number of dimensions, they are useful in up to about 9 dimensions.


    Item Type: Article
    School: Birkbeck Faculties and Schools > Faculty of Science > School of Computing and Mathematical Sciences
    Depositing User: Sarah Hall
    Date Deposited: 04 May 2021 13:38
    Last Modified: 09 Aug 2023 12:50


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