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Visualization and Processing of Tensor Fields - Advances and Perspectives (Paperback, 1st ed. Softcover of orig. ed. 2009)
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Visualization and Processing of Tensor Fields - Advances and Perspectives (Paperback, 1st ed. Softcover of orig. ed. 2009)
Series: Mathematics and Visualization
Expected to ship within 10 - 15 working days
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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. . . . . . . . . . . ."
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