On Local Fairing Algorithm for Cubic B-spline with the Second Discrete Curvature
- https://doi.org/10.2991/icmii-15.2015.80How to use a DOI?
- discrete curvature, differential, fairing, cubic B-spline.
In this paper, a new discrete curvature-the second discrete curvature is introduced. It is obtained that the curvatures of a cubic B-spline curve at its joining points are “proportional to” the second discrete curvatures of its corresponding control points about the node vector, and the second discrete curvature has similar properties but be more accurate than discrete curvature. The fairing algorithm for cubic B-spline based on the second discrete curvature is given. With this algorithm curves are faired through adjusting the second discrete curvature of the corresponding control points directly, thus the fairing process is more concise and has stronger geometrical intuition. It is showed that the algorithm can get better fairing effects through experiment examples.
- © 2015, 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 - Cheng Cheng AU - Desheng Yu PY - 2015/10 DA - 2015/10 TI - On Local Fairing Algorithm for Cubic B-spline with the Second Discrete Curvature BT - Proceedings of the 3rd International Conference on Mechatronics and Industrial Informatics PB - Atlantis Press SP - 464 EP - 472 SN - 2352-538X UR - https://doi.org/10.2991/icmii-15.2015.80 DO - https://doi.org/10.2991/icmii-15.2015.80 ID - Cheng2015/10 ER -