Curvature motion for union of balls

Thomas Lewiner; Cynthia Ferreira; Marcos Craizer; Ralph Teixeira

doi:10.1109/SIBGRAPI.2005.24

Discrete Geometry

Curvature motion for union of balls

Thomas Lewiner, Cynthia Ferreira, Marcos Craizer, Ralph Teixeira

Sibgrapi 2005 (XVIII Brazilian Symposium on Computer Graphics and Image Processing): pp. 47-54 (October 2005)

abstract

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.

video

Video

downloads

Downloads

PDF paper609 KB PPT presentation2.0 MB journal versiondoi ↗YouTube↗

cite

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           = {https://thomas.lewiner.org/pdfs/medialmove_sibgrapi.pdf}
}