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 language | English |
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Title of host publication | 6th 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 |
Publisher | IEEE |
Number of pages | 7 |
ISBN (Electronic) | 9780769528410 |
ISBN (Print) | 0769528414 |
Publication status | Published - 2007 |
Event | IEEE/ACIS International Conference on Computer and Information Science,IEEE/ACIS International Workshop on e-Activity - Duration: 1 Jan 2007 → … |
Conference
Conference | IEEE/ACIS International Conference on Computer and Information Science,IEEE/ACIS International Workshop on e-Activity |
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Period | 1/01/07 → … |
Keywords
- image processing
- set theory
- voxels
- topology