PDE based surface representation - Vase design

This source preferred by Lihua You, Jian Jun Zhang, Jian Jun Zhang and Lihua You

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

http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6TYG-4549VJN-3&_user=1682380&_coverDate=02%2F28%2F2002&_rdoc=1&_fmt=&_orig=search&_sort=d&view=c&_acct=C000011378&_version=1&_urlVersion=0&_userid=1682380&md5=b716c4c98d7617d24ad1f2070c9c4e15

Journal: Computers and Graphics

Volume: 26

Pages: 89-98

ISSN: 0097-8493

DOI: 10.1016/S0097-8493(01)00160-1

The aesthetic features of some free form surfaces, such as vases, despite being adjunct, can prove tedious and time consuming to create by the conventional surface models, such as NURBS. In this paper, we propose a new method that is able to rapidly generate complex free form surfaces, such as vases together with their accessory features using the fourth order partial differential equations (PDEs) with three vector-valued shape parameters. Vases of different shapes can be easily produced by altering the shape parameters, force functions and boundary conditions of the proposed PDE. As computational performance is of paramount significance for interactive computer graphics applications, an analytical solution to the PDE has been derived. The effects of the shape parameters, boundary conditions and force functions on the final surface shape have also been studied.

This data was imported from DBLP:

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

Journal: Computers & Graphics

Volume: 26

Pages: 89-98

This data was imported from Scopus:

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

Journal: Computers and Graphics (Pergamon)

Volume: 26

Issue: 1

Pages: 89-98

ISSN: 0097-8493

DOI: 10.1016/S0097-8493(01)00160-1

The aesthetic features of some free form surfaces, such as vases, despite being adjunct, can prove tedious and time consuming to create by the conventional surface models, such as NURBS. In this paper, we propose a new method that is able to rapidly generate complex free form surfaces, such as vases together with their accessory features using the fourth order partial differential equations (PDEs) with three vector-valued shape parameters. Vases of different shapes can be easily produced by altering the shape parameters, force functions and boundary conditions of the proposed PDE. As computational performance is of paramount significance for interactive computer graphics applications, an analytical solution to the PDE has been derived. The effects of the shape parameters, boundary conditions and force functions on the final surface shape have also been studied. © 2002 Published by Elsevier Science Ltd.

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

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

Journal: COMPUTERS & GRAPHICS-UK

Volume: 26

Issue: 1

Pages: 89-98

ISSN: 0097-8493

DOI: 10.1016/S0097-8493(01)00160-1

The data on this page was last updated at 13:55 on February 25, 2020.