Slice and blockwise well-composed sets

Luke Domanski

    Research output: Chapter in Book / Conference PaperConference Paper

    Abstract

    ![CDATA[An infinite or closed continuous surface partitions space R2 or R3 into two disjoint sub-spaces, an "inside" and an "outside". Notions of voxel set separability describe an analogous partitioning of discrete space Z2 or Z3 by a surface voxelisation. Similar concepts, 2D and 3D well-composed sets, define the manifold nature of the boundary between a voxel set and its complement embedded in R2 or R3. Cohen-Or and Kaufman define separating sets and present theorems for slicewise construction of 3D separating voxel sets from a group of 2D separating slices. This paper presents similar theorems for 3D well-composed sets. This allows slicewise construction to be applied in a wider range of situations, for example, where the manifold nature of a voxel set boundary is of vital importance or where we are considering solid voxelisa- tions. Theorems for blockwise construction of 2D and 3D well-composed sets from a pair of smaller well- composed sets are also presented, providing further tools for piecewise analysis of voxel sets.]]
    Original languageEnglish
    Title of host publication6th IEEE/ACIS International Conference on Computer and Information Science : (ICIS 2007) in Conjunction With 1st IEEE/ACIS International Workshop on e-Activity (IWEA 2007) : Proceedings : 11-13 Jul., 2007, Melbourne, Australia
    PublisherIEEE
    Number of pages7
    ISBN (Electronic)9780769528410
    ISBN (Print)0769528414
    Publication statusPublished - 2007
    EventIEEE/ACIS International Conference on Computer and Information Science,IEEE/ACIS International Workshop on e-Activity -
    Duration: 1 Jan 2007 → …

    Conference

    ConferenceIEEE/ACIS International Conference on Computer and Information Science,IEEE/ACIS International Workshop on e-Activity
    Period1/01/07 → …

    Keywords

    • image processing
    • set theory
    • voxels
    • topology

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