Abstract
Functions for manipulating objects are essential for scientific visualization systems because it is necessary to handle all related data efficiently and to generate objects satisfying given conditions to objects. If operations to compare objects both topologically and geometrically when visualizing the real world, we can model objects more credibly and validly. We introduce comparative operations for this purpose. They are based on a boundary representation incorporating the concept of connected component as a separate geometric entity. Quantitative and qualitative characteristics for all geometric entities which compose objects are analyzed during comparison. The necessary algorithms for performing comparative operations have been developed, and implemented on a commercial solid modeler.
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References
Aristides A. G. Requicha, “Representations for Rigid Solids: Theory, Methods, and Systems”, Computing Surveys, Vol. 12, No. 4, December 1980, pp437–464
DESIGNBASE Library Manual, Ricoh Company, LTD., 1988
Ellis Horowitz and Sartaj Sahni, Fundamentals of Computer Algorithm, Computer Science Press, Inc., 1978
Hiroaki Chiyokura, Solid Modeling with DESIGNBASE, Theory and Implementation, Addison-Wesley Publishing Company, 1988
Joshua U. Turner, “Accurate Solid Modeling Using Polyhedral Approximations”, IEEE Computer Graphics & Applications, May 1988, ppl4–28
Kokichi Sugihara, “An n logn Algorithm for Determining the Congruity of Polyhedra”, Journal of Computer and System Sciences 29, 1984, pp36–47
Martti Mantyla, An Introduction to Solid Modeling, Computer Science Press, Inc., 1988
Michael Karasick, “The Same-Object Problem for Polyhedral Solids”, Computer Vision, Graphics, and Image Processing 46, 1989, pp22–36
Robert B. Tilove, “A Null-Object Detection Algorithm for Constructive Solid Geometry”, Communications of the ACM, Vol. 27, No. 7, July 1984, pp684–694
Silvia Ansaldi, Leila De Floriani and Bianca Falcidieno, “Geometric Modeling of Solid Objects by Using a Face Adjacency Graph Representation”, Computer Graphics (SIGGRAPH’85), Vol. 19, No. 3, 1985, ppl31–139
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© 1991 Springer-Verlag Berlin Heidelberg
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Lee, M.W., Satoh, T., Kunii, T.L. (1991). Comparative Operations in Solid Modeling. In: Encarnação, J.L., Grinstein, G.G. (eds) Workstations for Experiments. IFIP Series on Computer Graphics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-75903-1_8
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DOI: https://doi.org/10.1007/978-3-642-75903-1_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-75905-5
Online ISBN: 978-3-642-75903-1
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