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Surface Models and the Resolution of N-Dimensional Cell Ambiguity

Hill, Steve and Roberts, Jonathan C. (1995) Surface Models and the Resolution of N-Dimensional Cell Ambiguity. In: Paeth, Alan W., ed. Graphics Gems V. Academic Press, pp. 98-106. ISBN 0-12-543455-3. (doi:10.1016/b978-0-12-543457-7.50023-1) (KAR id:21261)


The representation of n-dimensional continuous surfaces often employs a discrete lattice of n-dimensional cube cells. For instance, the marching cubes method locates the surface lying between adjacent vertices of the n-cube edges in which the cell vertices represent discrete sample values (Lorensen and Cline 1987). The volume's surface exists at a point of zero value: it intersects any cube edge whose vertex values have opposing sign. Ambiguities occur in the cells whose vertex set show many sign alternations. Geometrically, the surface intersects one face of the n-cube through each of its four edges. It is these special cases which engenders the need for resolution as a central concern in surface modeling. This gem reviews and illustrates the disambiguation strategies described in the literature.

Item Type: Book section
DOI/Identification number: 10.1016/b978-0-12-543457-7.50023-1
Uncontrolled keywords: surfaces, cell ambiguity
Subjects: Q Science > QA Mathematics (inc Computing science) > QA 76 Software, computer programming,
Divisions: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Computing
Depositing User: Mark Wheadon
Date Deposited: 20 Aug 2009 19:08 UTC
Last Modified: 09 Mar 2023 11:29 UTC
Resource URI: (The current URI for this page, for reference purposes)

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