A New Method for Knot Placement of B-Spline Curve Approximation and Interpolation
Authors
Wei Wang, Fazhong Shi, Gang Zhao, Xiaoxiao Du
Corresponding Author
Wei Wang
Available Online April 2016.
- 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/).
Cite this article
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 -