ScholarLens Back to search
2008•Computer Engineering and Applications JournalRequires access

Design of developable Bezier surface based on ruled surface

Mao Shi

Open publisher page 1 citations

Abstract

Using de Casteljau algorithm,The allthors derive the sufficient and necessary conditions of a developable surface being a ruled surface generated by curves of n degree and m degree respectively as its two boundaries,point out the number of constraint conditions of a ruled surface,and present a new method of designing ruled surface of(2,3) degree.Experimental results show that the design method proposed is easy to design and easy to control the surface shape.

About this research paper

What this paper is about

Using de Casteljau algorithm,The allthors derive the sufficient and necessary conditions of a developable surface being a ruled surface generated by curves of n degree and m degree respectively as its two boundaries,point out the number of constraint conditions of a ruled surface,and present a new method of designing ruled surface of(2,3) degree.Experimental results show that the design method proposed is easy to design and easy to control the surface shape.

Why it matters

OpenAlex reports 1 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Using de Casteljau algorithm,The allthors derive the sufficient and necessary conditions of a developable surface being a ruled surface generated by curves of n degree and m degree respectively as its two boundaries,point out the number of constraint conditions of a ruled surface,and present a new method of designing ruled surface of(2,3) degree.Experimental results show that the design method proposed is easy to design and easy to control the surface shape.

Key concepts: Bézier curve, Surface (topology), Developable surface, Ruled surface, Degree (music), Constraint (computer-aided design), Mathematics, Point (geometry)

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Design of developable Bezier surface based on ruled surface — Research Paper | ScholarLens