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The PDE surface method in higher dimensions.
Woodland, A. ; Ugail, Hassan ; Labrosse, F.
Woodland, A.
Ugail, Hassan
Labrosse, F.
Publication Date
2007
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© 2007 The Authors. Reproduced by permission from the copyright holders.
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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.
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.
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Conference paper