On the topology of the level sets of a scalar field

  title={On the topology of the level sets of a scalar field},
  author={Valerio Pascucci},
This paper introduces the first algorithm for the construction of the Contour Tree of a 3D scalar field augmented with the Betti numbers of each contour component. The scheme has time complexity and auxiliary storage, where is the number of cells in the domain of the field. Previous schemes [11, 10, 3] computed only the Contour Tree which accounts for the number of components of each isosurface but does not make a distinction among isosurfaces of different topology. For example a toroidal… CONTINUE READING


Publications referenced by this paper.
Showing 1-9 of 9 references

Morse Theory, volume 51 of Annals of Mathematics Studies

  • J. Milnor
  • 1963
2 Excerpts

Similar Papers

Loading similar papers…