@InCollection{guenther14d,
  author    = {D.~Günther and J.~Reininghaus and H.-P.~Seidel and T.~Weinkauf},
  booktitle = {Topological Methods in Data Analysis and Visualization III},
  publisher = {Springer},
  title     = {Notes on the Simplification of the Morse-Smale Complex},
  year      = {2014},
  editor    = {P.-T.~Bremer and I.~Hotz and V.~Pascucci and R.~Peikert},
  isbn      = {978-3-319-04099-8},
  pages     = {135--150},
  series    = {Mathematics and Visualization},
  abstract  = {The Morse-Smale complex can be either explicitly or implicitly represented.
              Depending on the type of representation, the simplification of the
              Morse-Smale complex works differently. In the explicit representation,
              the Morse-Smale complex is directly simplified by explicitly reconnecting
              the critical points during the simplification. In the implicit representation,
              on the other hand, the Morse-Smale complex is given by a combinatorial
              gradient field. In this setting, the simplification changes the combinatorial
              flow, which yields an indirect simplification of the Morse-Smale
              complex. The topological complexity of the Morse-Smale complex is
              reduced in both representations. However, the simplifications generally
              yield different results. In this paper, we emphasize the differences
              between these two representations, and provide a high-level discussion
              about their advantages and limitations.},
  url = {http://tinoweinkauf.net/publications/absguenther14d.html},
}