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

Adran Cyfrifiadureg

Allbwn ymchwil: Papur gweithio

39 Wedi eu Llwytho i Lawr (Pure)

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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.

Iaith wreiddiol	Saesneg
Cyhoeddwr	British Machine Vision Association
Statws	Cyhoeddwyd - Medi 2007

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title = "The PDE surface method in higher dimensions",

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.",

author = "Alan Woodland and Hassan Ugail and Fr{\'e}d{\'e}ric Labrosse",

note = "Woodland, A., Ugail, H., and Labrosse, F. (2007). 'The PDE surface method in higher dimensions', Vision, Video and Graphics Workshop, Warwick University, In association with BMVC 2007. Sponsorship: EPSRC VVG Network placement grant",

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AB - 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.

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The PDE surface method in higher dimensions

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