Set-combinations of the mixed-dimension cellular objects of the Djinn API

This paper is concerned with the mathematics and formal specification of “set-like” operations for the mixed dimension cellular geometric objects of the Djinn Application Programming Interface. The relationships between these operations and stratifications of dimensionally heterogeneous semianalytic...

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Bibliographic Details
Published in:Computer aided design 1999, Vol.31 (11), p.683-694
Main Authors: Middleditch, A.E., Reade, C.M.P., Gomes, A.J.
Format: Article
Language:English
Subjects:
Application programming interfaces
Point-set orientation
Semianalytic point-sets
Set-operations
Solid modelling
Stratification
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Summary:This paper is concerned with the mathematics and formal specification of “set-like” operations for the mixed dimension cellular geometric objects of the Djinn Application Programming Interface. The relationships between these operations and stratifications of dimensionally heterogeneous semianalytic point-sets are uncovered and formalised. Semianalytic geometry is central to the algebraic model discussed in this paper, but multi-disciplinary concepts from topology, differential geometry and computer-aided geometric design have been used also. In particular, the use of strong relative topological stratifications enables Djinn to satisfy significant industrial requirements.
ISSN:0010-4485
1879-2685
DOI:10.1016/S0010-4485(99)00065-2