An efficient approach for surface creation

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

Volume: 3482

Pages: 197-205

DOI: 10.1007/11424857_22

Abstract:

In this paper, we present an efficient method for generation of free from surfaces using the solution to a fourth order partial differential equation. In the interest of computational efficiency, the surface function is taken to be the combination of the boundary functions modulated by some unknown functions. Making use of the properties of boundary functions, the fourth order partial differential equation is transformed into a fourth order ordinary differential equation. To solve this equation, we further convert it to a set of one-dimensional finite difference equations where the number of unknowns is reduced significantly allowing fast surface generation. © Springer-Verlag Berlin Heidelberg 2005.

Source: Scopus

An efficient approach for surface creation

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

Volume: 3482

Pages: 197-205

Source: Web of Science (Lite)

An efficient approach for surface creation

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

Pages: 197-205

Publisher: Springer-Verlag

Place of Publication: Berlin

ISBN: 9783540258629

DOI: 10.1007/b136271

Abstract:

In this paper, we present an efficient method for generation of free from surfaces using the solution to a fourth order partial differential equation. In the interest of computational efficiency, the surface function is taken to be the combination of the boundary functions modulated by some unknown functions. Making use of the properties of boundary functions, the fourth order partial differential equation is transformed into a fourth order ordinary differential equation. To solve this equation, we further convert it to a set of one-dimensional finite difference equations where the number of unknowns is reduced significantly allowing fast surface generation.

http://www.springerlink.com/content/x5vt7gxd9bk6u1v3/

Source: Manual

Preferred by: Jian Jun Zhang and Lihua You

An Efficient Approach for Surface Creation.

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

Editors: Gervasi, O., Gavrilova, M.L., Kumar, V., Laganà, A., Lee, H.P., Mun, Y., Taniar, D. and Tan, C.J.K.

Volume: 3482

Pages: 197-205

Publisher: Springer

https://doi.org/10.1007/b136271

Source: DBLP