Construct Piecewise Hermite Interpolation Surface with Blending Methods

  title={Construct Piecewise Hermite Interpolation Surface with Blending Methods},
  author={Xiao-Shan Gao and Ming Li},
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 withG-continuity. In the third construction, we reduce the number of surfaces patches by joining as many cubic patches as possible.This method… CONTINUE READING


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