The PDE surface method in higher dimensions.

Description

Yes / This paper presents a method to extend PDE surfaces to high dimensional
spaces. We review a common existing analytic solution, and show
how it can be used straightforwardly to increase the dimension of the
space the surface is embedded within. We then further develop a numerical
scheme suitable for increasing the number of variables that parametrise
the surface, and investigate some of the properties of this solution with a
view to future work.

Links & Downloads

1. Woodland A., Ugail H. and Labrosse, F. (2007). The PDE surface method in higher dimensions. In: Vision, Video and Graphics Workshop. BMVA British Machine Vision Conference, Warwick University, September 10-13. Malvern: BMVA.
2. http://hdl.handle.net/10454/2853

Tags

PDE surfaces

Partial differential equations

Higher dimensional spaces

Additional Fields

Identifer	oai:union.ndltd.org:BRADFORD/oai:bradscholars.brad.ac.uk:10454/2853
Date	January 2007
Creators	Woodland, A., Ugail, Hassan, Labrosse, F.
Source Sets	Bradford Scholars
Language	English
Detected Language	English
Type	Conference paper, Accepted Manuscript
Rights	© 2007 The Authors. Reproduced by permission from the copyright holders.