A mathematical model for boundary representations of n-dimensional geometric objects

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A mathematical model for boundary representations of n-dimensional geometric objects

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ACM Symposium on Solid and Physical Modeling archive
Proceedings of the fifth ACM symposium on Solid modeling and applications table of contents

Ann Arbor, Michigan, United States

Pages: 270 - 277

Year of Publication: 1999

ISBN:1-58113-080-5

Authors

Abel Gomes	Centre for Geometric Modelling and Design, Brunel University, Tower A, 2nd Floor, Uxbridge, Middlesex, UB8 3PH, England
Alan Middleditch	Centre for Geometric Modelling and Design, Brunel University, Tower A, 2nd Floor, Uxbridge, Middlesex, UB8 3PH, England
Chris Reade	Centre for Geometric Modelling and Design, Brunel University, Tower A, 2nd Floor, Uxbridge, Middlesex, UB8 3PH, England

Sponsor

SIGGRAPH: ACM Special Interest Group on Computer Graphics and Interactive Techniques

Publisher

ACM New York, NY, USA

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Downloads (6 Weeks): 0, Downloads (12 Months): 28, Citation Count: 3

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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

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	2	R. Brown. Topology: a geometric account of general topology, homotopy types and the fundamental groupoid. Mathematics and Its Applications. Ellis Horwood Ltd, Chicester, England, 1988.
	3	L. Dries. A generalization of the Tarski-Seidenberg Theorem and some nondefininability results. Bulletin of the American Mathematical Society, 15(2):189-193, October 1986.
	4	A. Gomes. Mathematical and computing design of a unified geometric kernel based on sub-analytic Whitney stratifications(in preparation). PhD thesis, Centre for Geometric Modelling and Design, Department of Information Systems and Computing, Brunel University, Uxbridge, West London, England, 1998.
	5	A. J. Gomes , Alan E. Middleditch , Chris Reade, Issues and Solutions in Feature-Based Modelling: Re-Designing the Shape Kernel of CAD Systems, Proceedings of the Tenth International IFIP WG5.2/WG5.3 Conference on Globalization of Manufacturing in the Digital Communications Era of the 21st Century: Innovation, Agility, and the Virtual Enterprise, p.325-336, September 09-12, 1998
	6	H. Hironaka. Subanalytic sets. In Y. Kusunoki, S. Mizohata, M. Nagata, H. Toda, M. Yamaguti, and H. Yoshizawa, editors, Number Theory, Algebraic Geometry and Commutative Algebra, pages 453-493. Kinokuniya Book-Store Co., Ltd., Tokyo, Japan, 1973.
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	10	H. Masuda, K. Shimada, K. Numao, and S. Kawabe. A mathematical theory and applications of non-manifold geometric modeling. In F. Krause and H. Jansen, editors, Advanced Geometric Modeling for Engineering Applications. International GI-IFIP Symposium 89, North-Holland, 1989.
	11	A. Middleditch, C. Reade, and A. Gomes. Improvements for the Djinn API to a geometric modelling kernel. Submited for publication, 1998.
	12	A. Middleditch, C. Reade, and A. Gomes. Rationale and formal definitions for the objects of the Djinn API to a geometric modelling kernel. Submited for publication, 1998.
	13	A. Middleditch, C. Reade, and A. Gomes. Set operations of mixed dimension objects for Djinn API. Submited for publication, 1998.
	14	J. Rossignac and M. O'Connor. SGC: a dimensionindependent model for pointsets with internal structures and incomplete boundaries. In M. Wozny, J. Turner, and K. Preiss, editors, Geometric Modeling for Product Engineering. IFIP, Elsevier Science Publishers B.V. (North-Holland), 1990.
	15	Jarek R. Rossignac , Aristides A. G. Requicha, Constructive non-regularized geometry, Computer-Aided Design, v.23 n.1, p.21-32, Jan./Feb. 1991 [doi>10.1016/0010-4485(91)90078-B ]
	16	V. Shapiro. Maintenance of geometric representations through space decompositions. International Journal of Computational Geometry ~ Applications, (to be published).
	17	Masahiro Shiota, Geometry of subanalytic and semialgebraic sets, Birkhauser Boston Inc., Cambridge, MA, 1997
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CITED BY 3

	Abel J. P. Gomes, Euler operators for stratified objects with incomplete boundaries, Proceedings of the ninth ACM symposium on Solid modeling and applications, June 09-11, 2004, Genoa, Italy
	Annie Hui , Leila De Floriani, A two-level topological decomposition for non-manifold simplicial shapes, Proceedings of the 2007 ACM symposium on Solid and physical modeling, June 04-06, 2007, Beijing, China
	Alexander Pasko , Valery Adzhiev , Benjamin Schmitt , Christophe Schlick, Constructive hypervolume modeling, Graphical Models, v.63 n.6, p.413-442, November 2001