Title
N-dimensional surface reconstruction from a noisy normal vector field
Abstract
We present a method to reconstruct an implicit hypersurface of a N-dimensional vector space from a normal vector field supposed to be unreliable and noisy. Either the surface boundary or a point belonging to the surface is required. Assuming that a basis is known in which the surface is explicit, our approach consists in an accurate and noise robust global optimization technique based on a non linear partial derivative equation relied on local dip. The key point is the expression of the local dip in the new basis.
Year
Venue
Keywords
2012
Signal Processing Conference
nonlinear equations,optimisation,signal reconstruction,N-dimensional surface reconstruction,implicit hypersurface reconstruction,noise robust global optimization technique,noisy normal vector field,nonlinear partial derivative equation,Poisson equation,Surface reconstruction,local dip transformation,normal vector field,partial derivative equation
Field
DocType
ISSN
Surface reconstruction,Vector space,Poisson's equation,Global optimization,Mathematical analysis,Partial derivative,Hypersurface,Signal reconstruction,Normal,Mathematics
Conference
2219-5491
ISBN
Citations 
PageRank 
978-1-4673-1068-0
2
0.47
References 
Authors
2
3
Name
Order
Citations
PageRank
Guillaume Zinck120.81
Marc Donias220.47
Olivier Lavialle320.47