Knot removal for scattered data

Alain Le Mehaute; Yvon Lafranche

doi:10.1117/12.135142

1 February 1992 Knot removal for scattered data

Alain Le Mehaute, Yvon Lafranche

Proceedings Volume 1610, Curves and Surfaces in Computer Vision and Graphics II; (1992) https://doi.org/10.1117/12.135142
Event: Robotics '91, 1991, Boston, MA, United States

Abstract

We present a strategy for reducing the number of knots for the representation of a piecewise polynomial approximation of a function defined on scattered data, without perturbing the approximation more than a given tolerance. The method removes some (or all) of the interior knots. The number and location of these knots are determined automatically. Applications are in approximation of data, data storage, and image reconstruction.

Citation Download Citation

Alain Le Mehaute and Yvon Lafranche "Knot removal for scattered data", Proc. SPIE 1610, Curves and Surfaces in Computer Vision and Graphics II, (1 February 1992); https://doi.org/10.1117/12.135142

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