Visualization and Processing of Tensor Fields: Advances and Perspectives

Many different measures have been proposed to compute similarities and distances between diffusion tensors. These measures are commonly used for algorithms such as segmentation, registration, and quantitative analysis of diffusion Tensor Imaging data sets. The results obtained from these algorithms are extremely dependent on the chosen measure. The measures presented in literature can be of complete different nature, and it is often difficult to predict the behavior of a given measure for a specific application. In this chapter, we classify and summarize the different measures that have been presented in literature. We also present a framework to analyze and compare the behavior of the measures according to several selected properties. We expect that this framework will help in the initial selection of a measure for a given application and to identify when the generation of a new measure is needed. This framework will also allow the comparison of new measures with existing ones.

@InBook { PRVH08,
  author       = "Peeters, T.H.J.M. and Rodrigues, P. and Vilanova, Anna and Haar Romeny, B.M. ter",
  title        = "Visualization and Processing of Tensor Fields: Advances and Perspectives",
  chapter      = "Analysis of distance/similarity measures for Diffusion Tensor Imaging",
  year         = "2008",
  publisher    = "Springer Verlag series Mathematics and Visualization",
  url          = "http://graphics.tudelft.nl/Publications-new/2008/PRVH08"
}