Construct Piecewise Hermite Interpolation Surface with Blending Methods
نویسندگان
چکیده
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 G-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 G-continuity. These three different methods can be used to meet different requirements of the designers.
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