Gaussian Curvature Connection of Bézier Surfaces

DOI

10.2991/iccet-15.2015.273How to use a DOI?

Keywords

surface; curvature connection; Gaussian curvature; continuity

Abstract

Based on the properties of Gaussian curvature connection and the theory of differential geometry, a sufficient condition for Gaussian curvature connection between two adjacent Bézier surfaces is obtained. Next, a new method called Gaussian curvature connection is put forward by using the condition. The connection result is better than the connection with continuity of tangent plane, but the condition of connection is weaker than that of curvature connection.

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  - Qingxian Meng
AU  - Jinqiu Liu
AU  - Huihui Meng
PY  - 2015/11
DA  - 2015/11
TI  - Gaussian Curvature Connection of Bézier Surfaces
BT  - Proceedings of the 5th International Conference on Civil Engineering and Transportation 2015
PB  - Atlantis Press
SP  - 1467
EP  - 1470
SN  - 2352-5401
UR  - https://doi.org/10.2991/iccet-15.2015.273
DO  - 10.2991/iccet-15.2015.273
ID  - Meng2015/11
ER  -