The PDE surface method in higher dimensions

Alan Woodland; Hassan Ugail; Frédéric Labrosse

The PDE surface method in higher dimensions

Alan Woodland, Hassan Ugail, Frédéric Labrosse

Department of Computer Science

Research output: Working paper

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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.

Original language	English
Publisher	British Machine Vision Association
Publication status	Published - Sept 2007

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The PDE surface method in higher dimensions

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