Study On Constructing Tensor Product Bezier Surface From A Given Geodesic Curve

Geodesic on a surface is a kind of important curve. Geodesic methodfinds its applications in computer vision and image processing, such as ingarment design. This article first introduces the concept and properties of thegeodesics on the surface, and the definition and related properties of theBezier curve and surface, on the basis of this we are specific to a given curveis studied for geodesic boundary of double three problems in the constructionof the four edges of the Bezier surface and further research on the combinationof double cubic Bezier curved surface continuity stitching problem. In thispaper, a curve is a pregeodesic if and only if its rectifying plane coincideswith the tangent plane of the surfaces, we use this fact to construct bicubicBézier pathes through pregeodesics and bicubic Bézier patches which possessabutting geodesics, discuss the continuity of composite Bézier patches throughpairs of pregeodesics. Finally, some examples are provided to demonstrate theeffectiveness of the proposed method.