Thumbnail Image
Publication

The PDE surface method in higher dimensions.

Woodland, A.
; 
Ugail, Hassan
; 
Labrosse, F.
Publication Date
2007
End of Embargo
Supervisor
Keywords
PDE surfaces, Partial differential equations, Higher dimensional spaces
Rights
© 2007 The Authors. Reproduced by permission from the copyright holders.
Peer-Reviewed
Yes
Open Access status
Accepted for publication
Institution
Department
Awarded
Embargo end date
Collections
Engineering and Digital Technology Publications
Show all metadata
Files
Thumbnail Image
WoodlandUgailLabrosseBMVC2007.pdf
Adobe PDF, 200.07 KB
Additional title
Abstract
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.
URI
http://hdl.handle.net/10454/2853
Version
Accepted Manuscript
Citation
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.
Link to publisher’s version
Link to published version
Link to Version of Record
Type
Conference paper
Qualification name
Notes