Vector field reconstruction from sparse samples with applications

Vector field reconstruction from sparse samples with applications
Marcos Lage, Fabiano Petronetto, Afonso Paiva, Hélio Lopes, Thomas Lewiner, Geovan Tavares

Abstract:

This work presents 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.

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BibTeX:

@inproceedings{vector_field_sibgrapi,
    author = {Marcos Lage and Fabiano Petronetto and Afonso Paiva and Hélio Lopes and Thomas Lewiner and Geovan Tavares},
    title = {Vector field reconstruction from sparse samples with applications},
    year = {2006},
    month = {october},
    booktitle = {Sibgrapi 2006 (XIX Brazilian Symposium on Computer Graphics and Image Processing)},
    pages = {297--304},
    publisher = {IEEE},
    address = {Manaus, AM},
    doi = {10.1109/SIBGRAPI.2006.47},
    url = {\url{http://thomas.lewiner.org/pdfs/vector_field_sibgrapi.pdf}}
}