Research on convexity-preserving of the weight factor of cubic NURBS interpolation curve

DOI

10.2991/nceece-15.2016.174How to use a DOI?

Keywords

NURBS interpolation curve; weight factor; convexity- preserving

Abstract

This paper mainly discusses the weight factor that influence on cubic NURBS interpolation curve shape. Based on the existing curve and surface interpolation, the thought, the criterion and the concrete steps of the convexity-preserving of the weight factor of cubic NURBS interpolation curve are provided, numerical examples are carried out by the computer simulation and the weights are controlled with purpose and procedure. Then a scope of the convexity- preserving is putted up with through observing the changes of the cubic NURBS interpolation curve and the associated with this operation. In addition, its application in the design of ship modeling is given.

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  - Jiyuan Liu
AU  - Shaoping Chen
PY  - 2015/12
DA  - 2015/12
TI  - Research on convexity-preserving of the weight factor of cubic NURBS interpolation curve
BT  - Proceedings of the 2015 4th National Conference on Electrical, Electronics and Computer Engineering
PB  - Atlantis Press
SP  - 969
EP  - 975
SN  - 2352-5401
UR  - https://doi.org/10.2991/nceece-15.2016.174
DO  - 10.2991/nceece-15.2016.174
ID  - Liu2015/12
ER  -