The extension of the dual De Casteljau algorithm

Author

Ding, Rena ; Zhang, Yan

Author_Institution

Sch. of Comput. & Inf. Technol., Univ. of Western Sydney, NSW, Australia

fYear

2003

fDate

27-29 Aug. 2003

Firstpage

688

Lastpage

692

Abstract

Ruled surface design and its applications are widely used in CAGD (computer aided geometric design) and industrial areas. The dual De Casteljau algorithm [K. Sprott et. al., (1997)] is for drawing ruled surfaces. However, it cannot draw any type of ruled surfaces. Here, the algorithm is extended to draw the hyperboloid which could be indefinite if it is drawn by the initial algorithm. The dual characteristics of ruled surfaces created by using the dual method are investigated. The special displacement method of the rulings with two parallel control screws is also discussed. The extension of the dual De Casteljau algorithm has shown the wider usage of the dual approach for drawing ruled surfaces.

Keywords

CAD; computational geometry; curve fitting; engineering graphics; splines (mathematics); surface fitting; CAGD; computer aided geometric design; dual De Casteljau algorithm; hyperboloid design; ruled surface design; Australia; Design methodology; Displacement control; Fasteners; Geometry; H infinity control; Information technology; Mesh generation; Quaternions; Spline;

fLanguage

English

Publisher

ieee

Conference_Titel

Parallel and Distributed Computing, Applications and Technologies, 2003. PDCAT'2003. Proceedings of the Fourth International Conference on

Print_ISBN

0-7803-7840-7

Type

conf

DOI

10.1109/PDCAT.2003.1236392

Filename

1236392