Determining knots with quadratic polynomial precision

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Abstract

A new method for determining knots in parametric curve interpolation is presented. The determined knots have a quadratic poly-nomial precision in the sense that an interpolation scheme which re-produces quadratic polynomials would reproduce parametric quadratic polynomials if the new method is used to determine knots in the inter-polation process. Testing results on the efficiency of the new method are also included. © Springer-Verlag Berlin Heidelberg 2007.

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Zhang, C., Ji, X., & Liu, H. (2007). Determining knots with quadratic polynomial precision. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 4488 LNCS, pp. 130–137). https://doi.org/10.1007/978-3-540-72586-2_17

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