The Community for Technology Leaders
RSS Icon
Subscribe
Issue No.01 - January/February (1993 vol.13)
pp: 71-78
ABSTRACT
<p>An incremental boundary-evaluation algorithm that exploits adjacency information in B-reps to minimize the number of explicit edge classifications required is presented. Evaluations of the implemented algorithm show that it performs reliably and well, although global optimization schemes could increase performance significantly. The steps of the algorithm, which include self-edge partitioning, cross-edge self-edge (CESE) classification, inference of self-edge classifications, and checking for split and merged shells, are discussed.</p>
CITATION
James R. Miller, "Incremental Boundary Evaluation Using Inference of Edge Classifications", IEEE Computer Graphics and Applications, vol.13, no. 1, pp. 71-78, January/February 1993, doi:10.1109/38.180120
REFERENCES
1. A. A. Requicha, "Representations for rigid solids: Theory, methods, and systems,"Comput. Surveys, vol. 12, no. 4, pp. 437-465, 1980.
2. K.J. Weiler, "Edge-Based Data Structures for Solid Modeling in Curved-Surface Environments,"IEEE CG&A, Vol. 5, No. 1, Jan. 1985, pp. 21-40.
3. A.A.G. Requicha and H.B. Voelcker, "Boolean Operations in Solid Modeling: Boundary Evaluation and Merging Algorithms,"Proc. IEEE, Vol. 73, No. 1, Jan. 1985, pp. 30-44.
4. K.J. Weiler,Topological Structures for Geometric Modeling, doctoral dissertation, Rensselaer Polytechnic Inst., Troy, N.Y., 1986.
5. M. Mäntylä,An Introduction to Solid Modeling, Computer Science Press, Rockville, Md., 1988.
6. J. R. Miller, "Geometric approaches to nonplanar quadric surface intersection curves,"ACM Trans. Graphics, vol. 6, no. 4, pp. 274-307, Oct. 1987.
7. J.R. Miller and R.N. Goldman, "Using Tangent Balls to Find Plane Sections of Natural Quadrics,"IEEE CG&A, Vol. 12, No. 2, Mar. 1992, pp. 68-82.
8. H. Chiyokura,Solid Modelling with DESIGNBASE: Theory and Implementation, Addison-Wesley, Reading, Mass., 1988.
9. C. M. Hoffmann,Geometric and Solid Modeling: An Introduction. Los Altos, CA: Morgan Kaufmann, 1989.
10. C. T. Lea, "A new broadcast switching network,"IEEE Trans. Commun., vol. COM-36, pp. 1128-1137, 1988.
11. C.M. Hoffmann, J.E. Hopcroft, and M.S. Karasick, "Robust Set Operations on Polyhedral Solids,"IEEE CG&A, Vol. 9, No. 6, Nov. 1989, pp. 50-59.
12. G.A. Crocker and W.F. Reinke, "Boundary Evaluation of Non-Convex Primitives to Produce Parametric Trimmed Surfaces,"Computer Graphics(Proc. Siggraph), Vol. 21, No. 4, July 1987, pp. 129-136.
13. G.A. Crocker and W.F. Reinke, "An Editable Nonmanifold Boundary Representation,"IEEE CG&A, Vol. 11, No. 2, Mar. 1991, pp. 39- 51.
14. R.B. Tilove, "Set Membership Classification: A Unified Approach to Geometric Intersection Problems,"IEEE Trans. Computers, Vol. C- 29, No. 10, Oct. 1980, pp. 874-883.
34 ms
(Ver 2.0)

Marketing Automation Platform Marketing Automation Tool