The extension of the dual De Casteljau algorithm

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.