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Analytical C² smooth blending surfaces

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

Journal: Future Generation Computer Systems

Volume: 20

Issue: 8

Pages: 1317-1326

ISSN: 0167-739X

DOI: 10.1016/j.future.2004.05.023

Abstract:

Two factors are important in the generation of blending surfaces for interactive graphical and CAD applications, computational speed and the degree of smoothness. Most surface-blending methods blend surfaces with tangent continuity. However, curvature continuity has recently become increasingly important in various applications. In this paper, we present a method that is able to achieve curvature continuity based on the use of partial differential equations (PDE). The blending surfaces are generated as the solution to a sixth-order PDE with one vector-valued parameter. To achieve interactive performance, we propose an effective analytical method for the resolution of this sixth-order PDE. © 2004 Elsevier B.V. All rights reserved.

Source: Scopus

Analytical <i>C</i><SUP>2</SUP> smooth blending surfaces

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

Journal: FUTURE GENERATION COMPUTER SYSTEMS-THE INTERNATIONAL JOURNAL OF ESCIENCE

Volume: 20

Issue: 8

Pages: 1317-1326

eISSN: 1872-7115

ISSN: 0167-739X

DOI: 10.1016/j.future.2004.05.023

Source: Web of Science (Lite)

Analytical C2 smooth blending surfaces

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

Journal: Future Generation Computer Systems. Special Issue on Computer Graphics and Geometric Modeling

Volume: 20

Pages: 1317-1326

ISSN: 0167-739X

DOI: 10.1016/j.future.2004.05.023

Abstract:

Two factors are important in the generation of blending surfaces for interactive graphical and CAD applications, computational speed and the degree of smoothness. Most surface-blending methods blend surfaces with tangent continuity. However, curvature continuity has recently become increasingly important in various applications. In this paper, we present a method that is able to achieve curvature continuity based on the use of partial differential equations (PDE). The blending surfaces are generated as the solution to a sixth-order PDE with one vector-valued parameter. To achieve interactive performance, we propose an effective analytical method for the resolution of this sixth-order PDE.

http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V06-4CVX0RT-5&_user=1682380&_coverDate=11%2F01%2F2004&_rdoc=1&_fmt=&_orig=search&_sort=d&view=c&_acct=C000011378&_version=1&_urlVersion=0&_userid=1682380&md5=1d3e4ad755eabb5e78c241b510b357ae

Source: Manual

Preferred by: Jian Jun Zhang and Lihua You

Analytical C2 smooth blending surfaces.

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

Journal: Future Gener. Comput. Syst.

Volume: 20

Pages: 1317-1326

DOI: 10.1016/j.future.2004.05.023

Source: DBLP