Variable-radius blending by constrained spine generation

Visual Computer

Volumn 13, Issue 7, 1997, Pages 316-329

  Chuang, Jung Hong ^a   Hwang, Wei Chung ^a  

^a NATIONAL CHIAO TUNG UNIVERSITY   (Taiwan)

Author keywords

Blending; Geometric modeling; Spine specification; Variable radius spherical and circular blend

Indexed keywords

COMPUTER SIMULATION; CONSTRAINT THEORY; NONLINEAR SYSTEMS; THREE DIMENSIONAL COMPUTER GRAPHICS;

SURFACE BLENDING; VARIABLE RADIUS BLENDING;

COMPUTATIONAL GEOMETRY;

EID: 0030705912     PISSN: 01782789     EISSN: None     Source Type: Journal    
DOI: 10.1007/s003710050106     Document Type: Article

References (21)

1. Barnhill RE, Kersey SN (1990) A marching method for parametric surface/surface intersection. Comput Aided Geom Des 7:257-280
2. Barnhill RE, Farin GE, Chen Q (1993) Constant-radius blending of parametric surfaces. In: Farin GE, Hagen H, and Noltemeier H (eds) Geometrie modeling. Springer, Berlin Heidelberg New York, pp 1-20
3. Chandru V, Dutta D, Hoffmann CM (1990) Variable radius blending using dupin cyclides. In: Wozny MJ, Turner JU, Preiss K (eds) Geometric modeling for product engineering. North-Holland, Amsterdam, pp 39-57
4. Choi BK (1991) Surface modeling for CAD/CAM. Elsevier, Amsterdam
5. Choi BK, Ju SY (1989) Constant-radius blending in surface modelling. Comput Aided Des 21:213-220
6. Chuang JH, Hoffmann CM (1992) Curvature computations on surfaces in n-space. Math modelling numerical anal 26:95-112
7. Chuang JH, Lien FL (1995) One and two-parameter blending for blending parametric surfaces. In: Shin SY, Kunii TL (eds) Computer graphics and applications. World Scientific, Singapore, pp 333-347
8. Chuang JH, Lin CH, Hwang WC (1995) Variable-radius blending of parametric surfaces. Visual Comput 11:513-525
9. Filip DJ (1989) Blending parametric surfaces. ACM Trans Graph 8:164-173
10. Harada T, Konno K, Chiyokura H (1991) Variable-radius blending by using Gregory patches in geometric modeling. Proceedings of Eurographics '91, North-Holland, Amsterdam, pp 507-518
11. Hoffmann CM (1990) A dimensionality paradigm for surface interrogations. Comput Aid Geom Des 7:517-532
12. Hoffmann CM, Hopcroft J (1987) The potential method for blending surfaces and coners. In: Farm G (ed) Geometric modeling: algorithms and new trends. SIAM Publications. Philadelphia, pp 347-365
13. Klass R, Kuhn B (1992) Fillet and surface intersections defined by rolling balls. Comput Aided Geom Des 9:185-193
14. Koparkar P (1991) Designing parametric blends: surface model and geometric correspondence. Visual Comput 7:39-58
15. Lee T, Bedi S, Dubey RN (1993) A parametric surface blending method for complex engineering objects In: Rossignac J, Turner J, Allen G (eds) Proceeding of 2nd Symposium on Solid Modeling and Applications, ACM Press, New York, pp 179-188
16. Middleditch AE, Sears KH (1985) Blend surfaces for set theoretic volume modelling systems. Comput Graph 19:161-170
17. Pegna J, Wilde DJ (1990) Spherical and circual blending of functional surfaces. Trans ASME, J Offshore Mechanics Arctic Eng 112:134-142
18. Plass M, Stone M (1983) Curve-fitting with piecewise parametric curves. Comput Graph 17:229-239
19. Rockwood AP, Owen JC (1987) Blending surfaces in solid modeling. In: Farin GE (ed) Geometric modeling: algorithms and new trends. SIAM Publications, Philadelphia, pp 367-383
20. Vaishnav H, Rockwood A (1993) Blending parametric objects by implicit techniques. In: Rossignac J, Turner J, Allen G (eds) Proceeding of 2nd Symposium on Solid Modeling and Applications, ACM Press, New York, pp 165-168
21. Varady T (1989) Rolling ball blends in solid modelling. In: Kimura F, Rolstadas A (eds) Computer applications in production and engineering. Elsevier (North-Holland), Amsterdam, pp 295-308