A Method of Constructing Developable H-Bézier Surfaces with Shape Parameter

摘要

In terms of the significant idea of duality between points and planes in projective space, we design the enveloping and spine curve developable H-Bézier surfaces associated with shape parameters by means of using control planes with H-Bézier basis functions. At the same time, the parametric representations of two developable H-Bézier surfaces with shape parameters are given. In addition, some properties and concrete examples of the developable H-Bézier surfaces are discussed. The modeling examples imply that the proposed method in this paper is effective and easy to implement, which greatly enhances the ability to adjust local shape of the developable H-Bézier surfaces and have significant value in theory and practical application.