n-sided control point surfaces without twist constraints

Computer Aided Geometric Design

Volumn 18, Issue 2, 2001, Pages 129-134

  Zheng, J J ^a,b  

^a UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

^b BOURNEMOUTH UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

CONSTRAINT THEORY; THEOREM PROVING;

ZHENG-BALL CONSTRUCTION;

COMPUTATIONAL GEOMETRY;

EID: 0035278389     PISSN: 01678396     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-8396(01)00019-X     Document Type: Article

References (9)

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2. Farin G. Curves and Surfaces for Computer Aided Geometric Design. 3rd edn :1992;Academic Press.
3. Gregory J.A. Smooth interpolation without twist constraints. Barnhill R.E., Riesenfeld R.F., Computer Aided Geometric Design. 1974;71-88 Academic Press.
4. Hall R., Mullineux G. The Zheng-Ball construction without twist constraints. Comput. Aided Geom. Design. 16:1999;165-175.
5. Hosaka M., Kimura F. Non-four-sided patch expressions with control points. Comput. Aided Geom. Design. 1:1984;75-86.
6. Sabin M.A., 1983. Non-rectangular surfaces suitable for inclusion in a B-spline surface, in: Hagen, T.(Ed.), Eurographics 83 pp. 57-69.
7. Sabin M.A. A symmetric domain for a 6-sided patch. Bowyer A., Computer Aided Surface Geometry and DesignThe Mathematics of Surfaces IV. 1994;185-193 Clarendon Press, Oxford.
8. Zheng J.J., Ball A.A. Control point surfaces over non-four-sided areas. Comput. Aided Geom. Design. 14:1997;807-820.
9. Zheng J.J., Ball A.A. Parametrisations over n -sided areas. Comput. Aided Geom. Design. 1999;. (submitted).