Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Using the concept of duality beten points and planes in 3D projective space, an explicit and efficient method of computer-aided design for developable surfaces based on Bezier and B-spline basis functions is proposed. By the result that a developable surface is the envelope of a single-parameter family of planes,  give the parametric equation of a Bezier and B-spline developable surface, and discuss respectively properties of Bezier and B-spline representations. Meanwhile,  also present a simplified geometric-construction for developable surfaces, that is, G 2  Beta restraint condition algorithm for G 2  continuity beten two developable surfaces. It is shown that the geometric construction technique that exists for curves also can be generalized to the design of developable surfaces.
['Junqing Yang', 'Min Zhou', 'Quanyi Lv', 'Hongchan Zheng']
I am writing a research paper on a idea Geometric Design of Developable Bezier and B-spline Parametric Surfaces
[{"from": "human", "value": "I am writing a research paper on a idea Geometric Design of Developable Bezier and B-spline Parametric Surfaces"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Using the concept of duality beten points and planes in 3D projective space, an explicit and efficient method of computer-aided design for developable surfaces based on Bezier and B-spline basis functions is proposed. By the result that a developable surface is the envelope of a single-parameter family of planes,  give the parametric equation of a Bezier and B-spline developable surface, and discuss respectively properties of Bezier and B-spline representations. Meanwhile,  also present a simplified geometric-construction for developable surfaces, that is, G 2  Beta restraint condition algorithm for G 2  continuity beten two developable surfaces. It is shown that the geometric construction technique that exists for curves also can be generalized to the design of developable surfaces."}]