PDE blending surfaces with C<sup>2</sup> continuity

This source preferred by Jian Jun Zhang and Lihua You

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

http://www.sciencedirect.com/science?_ob=MImg&_imagekey=B6TYG-4DN8Y7C-5-F&_cdi=5618&_user=1682380&_orig=search&_coverDate=12%2F01%2F2004&_sk=999719993&view=c&wchp=dGLbVtz-zSkzS&md5=e363443cc9f635ebdad499be917819e1&ie=/sdarticle.pdf

Journal: Computers and Graphics

Volume: 28

Pages: 895-906

ISSN: 0097-8493

DOI: 10.1016/j.cag.2004.08.003

In this paper, we propose to use a general sixth-order partial differential equation (PDE) to solve the problem of C2 continuous surface blending. Good accuracy and high efficiency are obtained by constructing a compound solution function, which is able to both satisfy the boundary conditions exactly and minimise the error of the PDE. This method can cope with much more complex surface-blending problems than other published analytical PDEmethods.

Comparison with the existing methods indicates that our method is capable of generating blending surfaces almost as fast and accurately as the closed-form method and it is more efficient and accurate than other extant PDE-based methods.

This data was imported from DBLP:

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

Journal: Computers & Graphics

Volume: 28

Pages: 895-906

This data was imported from Scopus:

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

Journal: Computers and Graphics (Pergamon)

Volume: 28

Issue: 6

Pages: 895-906

ISSN: 0097-8493

DOI: 10.1016/j.cag.2004.08.003

In this paper, we propose to use a general sixth-order partial differential equation (PDE) to solve the problem of C2 continuous surface blending. Good accuracy and high efficiency are obtained by constructing a compound solution function, which is able to both satisfy the boundary conditions exactly and minimise the error of the PDE. This method can cope with much more complex surface-blending problems than other published analytical PDE methods. Comparison with the existing methods indicates that our method is capable of generating blending surfaces almost as fast and accurately as the closed-form method and it is more efficient and accurate than other extant PDE-based methods. © 2004 Published by Elsevier Ltd.

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

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

Journal: COMPUTERS & GRAPHICS-UK

Volume: 28

Issue: 6

Pages: 895-906

eISSN: 1873-7684

ISSN: 0097-8493

DOI: 10.1016/j.cag.2004.08.003

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