Developable Hermite Surfaces Constructed between Two Parallel and Oblique Planes

Abstract

The developable surfaces are useful in modeling plywood sheet installation and plat-metal-based industries. For this reason, this paper introduces the construction of cubic, quartic, and quintic developable Hermite surfaces with their boundary curves placed in two parallel and oblique planes. The steps are as follows. First, it defines the developable piece in the form of algebraic equations. Second, the criteria equation of the developable surfaces is determined for modeling the patches. Finally, we introduce a method for constructing the developable Hermite pieces between both planes. As a result, the presented technique is handy and straightforward for designing these developable surface types.