Construct Piecewise Hermite Interpolation Surface with Blending Methods

Three methods are proposed to construct a piecewise Hermite interpolation surface (PHIS), which is a piecewise algebraic surface interpolating a set of given points with associated normal directions. The surface is obtained by blending together some low-degree surface patches. Both the first and the second methods are completely local and give a surface with Gn -continuity. In the third construction, we reduce the number of surfaces patches by joining as many cubic patches as possible.This method gives a global solution with G1 -continuity. These three different methods can be used to meet different requirements of the designers.

• Type: Conference
• Year: 2002
• Where: GMP
• Authors: Xiao-Shan Gao, Ming Li
• Keywords: GMP 2002, Hermite Interpolation Surface, Low-degree Surface Patches, Piecewise Algebraic Surface, Solid Modeling