A geometric representation method using independent coordinates of the same control points

DOI

10.2991/icmit-16.2016.23How to use a DOI?

Keywords

shape representation, independent coordinates, B‚zier curve or surface patch, equivalent parameter.

Abstract

B‚zier curve is one of typical nonlinear splines, which is of importance for geometric representation, such as edge, contour. Generally, all control points are dealt with based on the same blending functions, regardless of the effect of every independent coordinates on geometric shape. Therefore, current representation lacks flexibility and controllability for complex shape. In this paper, we propose an equivalent parameter representation method using the independent coordinates of control points. Because all control point coordinates are used independently, geometric shape representation becomes more flexible and controllable. Particularly, different geometric shapes can be constructed by the same control points. Modeling experiments show that this proposed method is feasible and reasonable.

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  - Zhenwei Wang
AU  - Fang Fan
AU  - Shuangyin Liu
PY  - 2016/04
DA  - 2016/04
TI  - A geometric representation method using independent coordinates of the same control points
BT  - Proceedings of the 2016 3rd International Conference on Mechatronics and Information Technology
PB  - Atlantis Press
SP  - 121
EP  - 124
SN  - 2352-538X
UR  - https://doi.org/10.2991/icmit-16.2016.23
DO  - 10.2991/icmit-16.2016.23
ID  - Wang2016/04
ER  -