Reconstruction of cross-sectional data using implicit solid modelling

Proceedings of the ASME Design Engineering Technical Conference

Volumn 3, Issue , 1996, Pages

  Lim, Chek T ^a   Ensz, Mark T ^a  

^a University of Washington   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BLENDING; COMPUTER AIDED DESIGN; NONLINEAR PROGRAMMING;

BLENDING FUNCTION; DELAU-NAY TRIANGULATIONS; IMPLICIT FUNCTION; IMPLICIT SOLIDS; MATHEMATICAL REPRESENTATIONS; MORPHING TECHNIQUES; NON-LINEAR OPTIMIZATION; SPATIAL LOCATION;

COST FUNCTIONS;

EID: 25044461305     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/96-DETC/DAC-1606     Document Type: Conference Paper

References (26)

1. J.L. Blechschmidt and D. Nagasuru. The use of algebraic functions as a solid modeling alternative: An investigation. In ASME Advances in Design Automation, pages 33-41, Chicago, 11, USA, 1990.
2. J.F. Blinn. A generalization of algebraic surface drawing. ACM Transactions on Graphics, 1(3):235-256, July 1982.
3. J. Bloornenthal. An implicit surface polygonizer. In P.S. Heckbert, editor, Graphics Gems IV, pages 324-349. Al? Professional, Cambridge, MA, USA, 1994
4. J.-D. Boissonnat. Shape reconstruction from planar cross-sections. Computer Vision, Graphics, and Image Processing, 44( 1J: 1-29, October 1988.
5. T.E. Boult and A.D. Gross. Recovery of superquadrics from depth information. In Proceedings of Workshop on Spatial Reasoning and Multi-Sensor Fusion, pages 128-137, 1987.
6. H. Christensen and T.W. Sederberg. Conversion of complex contour line definitions into polygonal element mosaics. Computer Graphics, 12(3):187-192, 1978.
7. M.T. Ensz. Implicit swept solids. Master's thesis, University of Washington, Seattle, Washington, 1994.
8. M.T. Ensz, M.A. Ganter, and D.W. Storti. Implicit function alteration via radius mapping and direct function modification. In ASME Advances in Design Automation DE-VOL82-1, pages 57-64, 1995.
9. F.P. Ferrie, J. Lagarde, and P. Whaite. Recovery of volumetric object descriptions from laser rangefinder images. In Proceedings of Computer Vision-ECCV '90, Antibes, France, pages 387-396, 1990.
10. H. Fuchs, Z.M. Kedem, and S.P. Uselton. Optimal surface reconstruction from planar contours. Communications of A CM, 10(20):693-702, 1977.
11. S. Ganapathy and T.G. Dennehy. A new general triangulation method for planar contours. Computer Graphics, 16(3):69-75. 1982.
12. M.A. Ganter, D.W. Storti, and M.T. Ensz. On algebraic methods for implicit swept solids with finite extent. In ASME .4dvances in Design Automation DEVol. 65-2, pages 389-396, 1993.
13. P.E. Gill, W. Murray, and hf.H. Wright. Practical Optimization. Academic Press, Yew York, hTew York, 1st edition, 1981.
14. H. Hoppe, T. Derose, T. Duchamp, J. McDonald, and W. Stuetzle. Surface reconstruction from unorganized points. In Computer Graphics, SIGGRAPH '92 Proceedings, pages 71-78, 1992.
15. Y.C. Hsieh, S.H. Drake, and R.F. Riesenfeld. Reconstruction of scupltured surfaces using coordinate measuring machines. In ASME Advances in Design Automation DE-VOL65-2, pages 35-46, Albuquerque, NM, USA, 1993.
16. C.T. Lim, M..4. Ganter, D.W. Storti, and M.T. Ensz. Algebraic computer aided-design with maplev2. In T. Lee, editor, Mathematical Computation with Maple V: Ideas and Applications, Proceedings of the Maple Summer Workshop and Symposium, University of Michigan, Ann Arbor, June 28-30, 1993, pages 169-175, Boston, MA, USA, 1993. Birkhtiauser.
17. C.T. Lim. G.M. Tux-kiyyah, M.A. Ganter, and D.W. Storti. Implicit reconstruction of solids from cloud point sets. In C, Hoffman and J. Rossignac, editors, Third Symposium on Solid Modeling and Applications, Salt Lake City, Utah, pages 393-402, New York, New York 10036, 1995. ACM Press.
18. A.E. Middleditch and K.H. Sears. Blend surfaces for set theoretic volume modeling systems. In B. A. Barsky, editor, Computer Graphics (SIGGRA PH '85 Proceedings), volume 19, pages 161-170, July 1985.
19. S. Muraki. Volumetric shape description of range data using "blobby model". In Computer Graphics (SIGGRAPH '91 Proceedings), pages 227-235, 1991.
20. A. Pasko, V. Savchenko, V. Adzhiev, and A. Sourin. Multidimensional geometric modeling and visualization based on the function representation of objects. Technical Report 93-1-008, The University of .Aizu, Japan, 1993.
21. A. Ricci. S constructive geometry for computer graphics. Computer Journal, 16(2):157-160, May 1973.
22. V. Savchenko, A. Pasko, O. Okunev, and T. Kunii. Function representation of solids reconstructed from scattered surface points and contours. Technical Report 94-1-032, The University of Aizu, Japan, 1994.
23. V. Shapiro. Real functions for representation of rigid solids. C'omputer-Aided Geometric Design, 11(2) :153-175, 1994.
24. D.F. Watson. Contouring: a guide to the analysis and display of spatial data, pages 59-68. Pergamon Press, 1992.
25. R. Widmann. An efficient algorithm for the triangulation of surface in R3. Preprint, Colorado State LTniversity, Fort Collins, CO, 1990.
26. B. Wyvill, C. McPheeters, and G. Wyvill. Data structure for soft objects. The Visual Computer, 2(4):227-234, 1986.