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Keyword: PIA, Triangular Bezier surface, Control point, Even permutation. Abstract. In this paper, a local PIA format for triangular Bezier surface and rational triangular Bezier surface is designed, which adjusts control points of even permutations only. It generates a surface sequence with finer precision and its limit surface interpolates given data points. Examples show that the surface sequence generated by the local PIA has finer fitting precision.

Local Progressive Iterative Approximation for Triangular Bézier and Rational Triangular Bézier Surfaces