On Local Fairing Algorithm for Cubic B-spline with the Second Discrete Curvature

DOI

10.2991/icmii-15.2015.80How to use a DOI?

Keywords

discrete curvature, differential, fairing, cubic B-spline.

Abstract

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.

Copyright

© 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/).

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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  - 10.2991/icmii-15.2015.80
ID  - Cheng2015/10
ER  -