Cubic interpolation based on uniform parametrization

Cai Ming Zhang; Takeshi Agui; Hiroshi Nagahashi; Lee Peisuei

doi:10.1117/12.235535

22 March 1996 Cubic interpolation based on uniform parametrization

Cai Ming Zhang, Takeshi Agui, Hiroshi Nagahashi, Lee Peisuei

Proceedings Volume 2644, Fourth International Conference on Computer-Aided Design and Computer Graphics; (1996) https://doi.org/10.1117/12.235535
Event: Fourth International Conference on Computer-Aided Design and Computer Graphics, 1995, Wuhan, China

Abstract

A method for constructing high precision parametric planar curve is presented. The method uses the uniform parametrization to assign nodes and evaluates slope vectors at the nodes by supposing that the given data points are taken from a parametric quadratic polynomial. The constructed curve is a C¹ piecewise parametric cubic polynomial, and it reproduces exactly a parametric polynomial of degree two or less.

Citation Download Citation

Cai Ming Zhang, Takeshi Agui, Hiroshi Nagahashi, and Lee Peisuei "Cubic interpolation based on uniform parametrization", Proc. SPIE 2644, Fourth International Conference on Computer-Aided Design and Computer Graphics, (22 March 1996); https://doi.org/10.1117/12.235535

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