# An efficient approach for surface creation

This source preferred by Lihua You and Jian Jun Zhang

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

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

**Pages:** 197-205

**Publisher:** Springer-Verlag

**Place of Publication:** Berlin

**ISBN:** 9783540258629

**DOI:** 10.1007/b136271

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.

This data was imported from DBLP:

**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.

https://doi.org/10.1007/b136271

**Volume:** 3482

**Pages:** 197-205

**Publisher:** Springer

This data was imported from Scopus:

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

**Volume:** 3482

**Pages:** 197-205

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.

This data was imported from Web of Science (Lite):

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

**Volume:** 3482

**Pages:** 197-205