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Rapid generation of C² continuous blending surfaces

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

Volume: 2330 LNCS

Pages: 92-101

DOI: 10.1007/3-540-46080-2_10

Abstract:

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.

Source: Scopus

Rapid generation of <i>C</i><SUP>2</SUP> continuous blending surfaces

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

Volume: 2330

Pages: 92-101

Source: Web of Science (Lite)

Rapid Generation of C2 Continuous Blending Surfaces

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

Pages: 92-101

Publisher: Springer-Verlag

Place of Publication: Berlin

ISBN: 978-3540435938

Abstract:

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.

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

Source: Manual

Preferred by: Jian Jun Zhang and Lihua You

Rapid Generation of C2 Continuous Blending Surfaces.

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

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

Volume: 2330

Pages: 92-101

Publisher: Springer

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

Source: DBLP