Do blending and offsetting commute for Dupin cyclides?

Computer Aided Geometric Design

Volumn 17, Issue 9, 2000, Pages 891-910

  Shene, Ching Kuang ^a  

^a Michigan Technological University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS;

ALLEN-DUTTA THEORY; DUPIN CYCLIDES;

COMPUTATIONAL GEOMETRY;

EID: 0034298451     PISSN: 01678396     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-8396(00)00032-7     Document Type: Article

References (9)

1. Allen, S., and Dutta, D. (1997), Cyclides in pure blending I and II, Computer Aided Geometric Design 14, 51-102.
2. Allen, S. and Dutta, D. (1998), Results on nonsingular, cyclide transition surfaces, Computer Aided Geometric Design 15, 127-145.
3. Boehm, W. (1990), On cyclides in geometric modeling, Computer Aided Geometric Design 7, 243-255.
4. Johnstone, J.K. and Shene, C.-K. (1994), Dupin cyclides as blending surfaces for cones, in: Fisher, R.B., eds., The Mathematics of Surfaces V, Clarendon Press, Oxford, England, 3-29.
5. Pratt, M.J. (1990), Cyclides in computer aided geometric design, Computer Aided Geometric Design 7, 221-242.
6. Shene, C.-K. (1992), Planar Intersection and Blending of Natural Quadrics, Ph.D. thesis, Department of Computer Science, The Johns Hopkins University, Baltimore, MD.
7. Shene, C.-K. (1998), Blending two cones with Dupin cyclides, Computer Aided Geometric Design 15 (7), 643-673.
8. Shene, C.-K. and Johnstone, J.K. (1991), When does a quadrilateral have an inscribed circle?, Technical Report JHU-91/22, Department of Computer Science, The Johns Hopkins University.
9. Shene, C.-K. and Johnstone, J.K. (1994), On the lower degree intersections of two natural quadrics, ACM Transactions on Graphics 13 (4), 400-424.