Abstract.
An algorithm for least-squares approximation of data with end derivative constraints is presented. The approximating curve minimises the error in the least-squares sense, while at the same time assumes the derivatives specified. For degree p approximation, up to p 2 1 derivatives may be specified, resulting in C p−1 continuous curve approximants. The method is useful to piece individual curve segments together, or to create closed curves with various degrees of smoothness.
Similar content being viewed by others
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Piegl, L., Tiller, W. Least-Squares B-Spline Curve Approximation with Arbitary End Derivatives. EWC 16, 109–116 (2000). https://doi.org/10.1007/PL00007188
Issue Date:
DOI: https://doi.org/10.1007/PL00007188