A New Method for Knot Placement of B-Spline Curve Approximation and Interpolation

DOI

10.2991/icmemtc-16.2016.294How to use a DOI?

Keywords

B-spline curve approximation; knot placement; curve fitting

Abstract

A new knot placement method for B-Spline curve fitting to a set of ordered points is presented in this paper. It is a unified explicit formula that applies to both approximation and interpolation. The experiments designed by authors show that this method is effective and it has the advantage of keeping bilateral symmetry features inherently in the data points unchanged in the resulting approximation cure, which means it can reflect more essential shape features of original data than the existing ones, and has the potential of being widely used in practices. This knot placement method is simple, convenient and pervasive, while the curves obtained by it can provide more flexible options for the shape design work.

Copyright

© 2016, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Wei Wang
AU  - Fazhong Shi
AU  - Gang Zhao
AU  - Xiaoxiao Du
PY  - 2016/04
DA  - 2016/04
TI  - A New Method for Knot Placement of B-Spline Curve Approximation and Interpolation
BT  - Proceedings of the 2016 3rd International Conference on Materials Engineering, Manufacturing Technology and Control
PB  - Atlantis Press
SP  - 1527
EP  - 1532
SN  - 2352-5401
UR  - https://doi.org/10.2991/icmemtc-16.2016.294
DO  - 10.2991/icmemtc-16.2016.294
ID  - Wang2016/04
ER  -