Rapid generation of C<sup>2</sup> continuous blending surfaces

This source preferred by Jian Jun Zhang and Lihua You

Authors: Zhang, J.J. and You, L.H.

http://www.springerlink.com/content/jmacxlcu27el919j/?p=c1f52b5b75ae4140bd81f1bf6403cdd2&pi=0

Pages: 92-101

Publisher: Springer-Verlag

Place of Publication: Berlin

ISBN: 978-3540435938

Most surface-blending methods are able to blend surfaces with tangent continuity. However, curvature continuity has become increasingly important in geometric modelling and its applications, such as computer animation, computer-aided design and virtual reality. In this paper, we present a method which is able to achieve C2 continuity based on the use of partial differential equations (PDE). A sixth order partial differential equation with one vector-valued parameter is introduced to produce such blending surfaces. Since computational efficiency is crucial for interactive computer graphics applications, we have developed a unified closed form (analytical) method for the resolution of this sixth order PDE. Therefore blending surfaces of up to C2 smoothness can be generated in real time.

This data was imported from DBLP:

Authors: Zhang, J.J. and You, L.

Editors: Sloot, P.M.A., Tan, C.J.K., Dongarra, J.J. and Hoekstra, A.G.

https://doi.org/10.1007/3-540-46080-2

Volume: 2330

Pages: 92-101

Publisher: Springer

This data was imported from Scopus:

Authors: Zhang, J.J. and You, L.

Volume: 2330 LNCS

Pages: 92-101

ISBN: 9783540435938

Most surface-blending methods are able to blend surfaces with tangent continuity. However, curvature continuity has become increasingly important in geometric modelling and its applications, such as computer animation, computer-aided design and virtual reality. In this paper, we present a method which is able to achieve C2 continuity based on the use of partial differential equations (PDE). A sixth order partial differential equation with one vector-valued parameter is introduced to produce such blending surfaces. Since computational efficiency is crucial for interactive computer graphics applications, we have developed a unified closed form (analytical) method for the resolution of this sixth order PDE. Therefore blending surfaces of up to C2 smoothness can be generated in real time. © Springer-Verlag Berlin Heidelberg 2002.

This data was imported from Web of Science (Lite):

Authors: Zhang, J.J. and You, L.H.

Volume: 2330

Pages: 92-101

The data on this page was last updated at 05:09 on February 24, 2020.