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

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

Abstract:

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.

Source: Scopus

PDE blending surfaces with <i>C</i><SUP>2</SUP> continuity

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

Source: Web of Science (Lite)

PDE Blending Surfaces with C2 Continuity

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

Journal: Computers and Graphics

Volume: 28

Pages: 895-906

ISSN: 0097-8493

DOI: 10.1016/j.cag.2004.08.003

Abstract:

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.

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

Source: Manual

Preferred by: Jian Jun Zhang and Lihua You

PDE blending surfaces with C2 continuity.

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

Journal: Comput. Graph.

Volume: 28

Pages: 895-906

DOI: 10.1016/j.cag.2004.08.003

Source: DBLP