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XIX Brazilian Symposium on Computer Graphics and Image Processing (SIBGRAPI'06)
Vector field reconstruction from sparse samples with applications
Manaus, AM, Brazil
October 08-October 11
ISBN: 0-7695-2686-1
Marcos Lage, PUC.Rio, Rio de Janeiro, Brazil
Fabiano Petronetto, PUC.Rio, Rio de Janeiro, Brazil
Afonso Paiva, PUC.Rio, Rio de Janeiro, Brazil
Helio Lopes, PUC.Rio, Rio de Janeiro, Brazil
Thomas Lewiner, PUC.Rio, Rio de Janeiro, Brazil
Geovan Tavares, PUC.Rio, Rio de Janeiro, Brazil
We present a novel algorithm for 2D vector field reconstruction from sparse set of points.vectors pairs. Our approach subdivides the domain adaptively in order to make local piecewise polynomial approximations for the field. It uses partition of unity to blend those local approximations together, generating a global approximation for the field. The flexibility of this scheme allows handling data from very different sources. In particular, this work presents important applications of the proposed method to velocity and acceleration fields' analysis, in particular for fluid dynamics visualization.
Citation:
Marcos Lage, Fabiano Petronetto, Afonso Paiva, Helio Lopes, Thomas Lewiner, Geovan Tavares, "Vector field reconstruction from sparse samples with applications," sibgrapi, pp.297-306, XIX Brazilian Symposium on Computer Graphics and Image Processing (SIBGRAPI'06), 2006
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