ThisbookattemptstocapturesomeoftheexcitementofaninspiringDagstuhl
SeminarinJanuary2007. Theauthorsreportonrecentresearchresultsaswell as
opining on future directions for the analysis and visualization of
tensor ?elds. Topics range from applications of the analysis of tensor
?elds to purer researchintotheirmathematical andanalytical properties.
Oneofthegoalsof
thisseminarwastobringtogetherresearchersfromalongthatpure-to-applied
disciplinary axis with the hope of fostering new collaborations and
research. This book, we hope, will continue to further that goal in a
broader context. Providence, Rhode Island, USA David H. Laidlaw Saarbruc
] ken, Saarland, Germany Joachim Weickert August 2008 Contents Part I
Models for Di?usion MRI Modelling, Fitting and Sampling in Di?usion MRI
Daniel C. Alexander. . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . 3 Tensors, Polynomials and Models
for Directional Data P. G. Batchelor . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 A
Mixture of Wisharts (MOW) Model for Multi?ber Reconstruction ] Bing
Jian, Baba C. Vemuri, and Evren Ozarslan. . . . . . . . . . . . . . . .
. . . . . 39 The Algebra of Fourth-Order Tensors with Application to
Di?usion MRI Maher Moakher. . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . 57 Part II
Higher-Level Analysis of Di?usion Images Structure-Speci?c
StatisticalMappingofWhiteMatterTracts Paul A. Yushkevich, Hui Zhang,
Tony J. Simon, and James C. Gee. . . . 83 Analysis of
Distance/Similarity Measures for Di?usion Tensor Imaging T. H. J. M.
Peeters, P. R. Rodrigues, A. Vilanova, and B. M. ter Haar Romeny . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
113 XContents Part III Tensor Field Visualization Tensor Glyph Warping:
Visualizing Metric Tensor Fields using Riemannian Exponential Maps
Anders Brun and Hans Knutsson . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . 139 Interactive Volume Rendering of Di?usion
Tensor Data Mario Hlawitschka, Gunther H. Weber, Alfred Anwander, Owen
T. Carmichael, Bernd Hamann, and Gerik Scheuermann. . . . . . . . 161
Dense Glyph Sampling for Visualization Louis Feng, Ingrid Hotz, Bernd
Hamann, and Kenneth Joy. . . . . . . . . . . .
