Dual space drawing methods of cylinders

Abstract

Ruled surface design and its applications are widely used in CAGD (Computer Aid Geometric Design) and industrial areas. The cylinder is a particular ruled surface. Its drawing methods lay the foundation for drawing other ruled surfaces, such as cones, with dual space drawing methods. In this paper, new methods are introduced for drawing cylinders. The underlying principle of these methods is the application and extension (variation) of the dual De Casteljau algorithm [11]. Based on this, a comprehensive study is carried out for the creation of cylinders. The dual De Casteljau algorithm is adjusted by adding boundary conditions to draw cylinders with smooth closed trajectories. The dual space drawing methods of the circular cylinder with boundary conditions and segment construction are also discussed.