Range Restricted Interpolation Using Cubic Bezier Triangles

  title={Range Restricted Interpolation Using Cubic Bezier Triangles},
  author={Voon Pang Kong and B. H. Ong and K. H. Saw},
A range restricted C interpolation local scheme to scattered data is derived. Each macro triangle of the triangulated domain is split into three mini triangles and the interpolating surface on each mini triangle is a cubic Bézier triangle. Sufficient conditions derived for the non-negativity of these cubic Bézier triangles are expressed as lower bounds to the Bézier ordinates. The non-negativity preserving interpolation scheme extends to the construction of a range restricted interpolating… CONTINUE READING

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