Curvature motion for union of balls

Curvature motion for union of balls
Thomas Lewiner, Cynthia Ferreira, Marcos Craizer, Ralph Teixeira

Abstract:

This work proposes a scheme for multi-resolution representation of union of balls in the plane. This representation is inspired by curvature motion for smooth curves. More precisely, the proposed evolution of centers and radii of the balls are based on equations of evolution of the medial axis of a curve that performs curvature motion. The results obtained are very close to the pixel approximation of curvature motion.

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BibTeX:

@inproceedings{medialmove_sibgrapi,
    author = {Thomas Lewiner and Cynthia Ferreira and Marcos Craizer and Ralph Teixeira},
    title = {Curvature motion for union of balls},
    year = {2005},
    month = {october},
    booktitle = {Sibgrapi 2005 (XVIII Brazilian Symposium on Computer Graphics and Image Processing)},
    pages = {47--54},
    publisher = {IEEE},
    address = {Natal, RN},
    doi = {10.1109/SIBGRAPI.2005.24},
    url = {\url{http://thomas.lewiner.org/pdfs/medialmove_sibgrapi.pdf}}
}