Rapid generation of C<sup>2</sup> 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