Abstract | ||
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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 |
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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 Zinck | 1 | 2 | 0.81 |
Marc Donias | 2 | 2 | 0.47 |
Olivier Lavialle | 3 | 2 | 0.47 |