Proceedings of the 2016 3rd International Conference on Mechatronics and Information Technology

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

Authors
Zhenwei Wang, Fang Fan, Shuangyin Liu
Corresponding Author
Zhenwei Wang
Available Online April 2016.
DOI
https://doi.org/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.
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This is an open access article distributed under the CC BY-NC license.

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Proceedings
2016 3rd International Conference on Mechatronics and Information Technology
Part of series
Advances in Computer Science Research
Publication Date
April 2016
ISBN
978-94-6252-184-1
ISSN
2352-538X
DOI
https://doi.org/10.2991/icmit-16.2016.23How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

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  - 2016 3rd International Conference on Mechatronics and Information Technology
PB  - Atlantis Press
SN  - 2352-538X
UR  - https://doi.org/10.2991/icmit-16.2016.23
DO  - https://doi.org/10.2991/icmit-16.2016.23
ID  - Wang2016/04
ER  -