INTERVAL METHOD FOR INTERROGATION OF IMPLICIT SOLID MODELS

Proceedings of the ASME Design Engineering Technical Conference

Volumn 2, Issue , 2000, Pages 595-604

  Chang, Jack ^a   Ganter, Mark ^a   Storti, Duane ^a  

^a UNIVERSITY OF WASHINGTON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AUTOMATED DESIGN; AUTOMATED MANUFACTURING; CAD-CAM SYSTEMS; COMPUTER-AIDED DESIGN; DESIGN APPLICATIONS; IMPLICIT SOLIDS; INTERVAL METHODS; MANUFACTURING APPLICATIONS; SOLID FREE-FORM FABRICATION; SOLID MODELLING;

COMPUTER AIDED DESIGN;

EID: 78649252409     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/DETC2000/DAC-14290     Document Type: Conference Paper

References (15)

1. Bloomenthal, J., editor (1997). Introducation to Implicit Surfaces. Morgan Kaufmann.
2. Ensz, M., Storti, D., and Ganter, M. (1998). Implicit methods for geometry creation. International Journal of Computational Geometry Applications, 8 (5, 6): 5 0 9-3 6.
3. Hansen, E. R. (1992). Global Optimization Using Interval Analysis. Marcel Dekker.
4. Kahan, W. (1968). A more complete interval arithmetic. Technical report, University of Toronto.
5. Mantyla, M. (1988). An Introduction to Solid Modeling. Computer Science Press.
6. Moore, R. E. (1979). Methods and Applications of Interval Analysis. SIAM.
7. Mortenson, M. (1985). Geometric Modeling. John Wiley Sons.
8. Requicha, A. (1980). Representations for rigid solids: Theory, methods, and systems. Computing Surveys, 12:437-64.
9. Ricci, A. (1972). A constructive geometry for computer graphics. The Computer Journal, 16(2): 157-160.
10. Samet, H. (1990). Applications of spatial data structures : computer graphics, image processing, and GIS. Addison-Wesley.
11. Shapiro, V. (1994). Real functions for representation of rigid solids. ComputerAided Geometric Design, 11:153-175.
12. Shapiro, V. and Tsukanov, I. (1999). Implicit functions with guaranteed differential properties. In Proceedings of the Fifth ACM Symposium on Solid Modeling and Applications.
13. Stander, B. and Hart, J. (1994). A lipschitz method for accelerated volume rendering. In 1994 Symposium on Volume Visualization, pages 107-14.
14. Stolfi, J. and de Figueiredo, L. H. (1997). Self-Validated Numerical Methods and Applications. Brazilian Mathematics Colloquium, IMPA.
15. Tupper, J. A. (1996). Graphing equations with generalized interval arithmetic. Master's thesis, University of Toronto.