LEADER 04235nam 22006975 450 001 9910254286103321 005 20200705023159.0 010 $a3-319-61358-8 024 7 $a10.1007/978-3-319-61358-1 035 $a(CKB)4100000000881617 035 $a(DE-He213)978-3-319-61358-1 035 $a(MiAaPQ)EBC5106099 035 $a(PPN)220125376 035 $a(EXLCZ)994100000000881617 100 $a20171014d2017 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aModeling, Analysis, and Visualization of Anisotropy /$fedited by Thomas Schultz, Evren Özarslan, Ingrid Hotz 205 $a1st ed. 2017. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017. 215 $a1 online resource (X, 407 p. 150 illus. in color.) 225 1 $aMathematics and Visualization,$x1612-3786 311 $a3-319-61357-X 320 $aIncludes bibliographical references at the end of each chapters and index. 327 $aPart I: Features and Visualization -- Part II: Image Processing and Analysis -- Part III: Diffusion Modeling and Microstructure -- Part IV: Tractography -- Part V: Machine Learning Approaches. 330 $aThis book focuses on the modeling, processing and visualization of anisotropy, irrespective of the context in which it emerges, using state-of-the-art mathematical tools. As such, it differs substantially from conventional reference works, which are centered on a particular application. It covers the following topics: (i) the geometric structure of tensors, (ii) statistical methods for tensor field processing, (iii) challenges in mapping neural connectivity and structural mechanics, (iv) processing of uncertainty, and (v) visualizing higher-order representations. In addition to original research contributions, it provides insightful reviews. This multidisciplinary book is the sixth in a series that aims to foster scientific exchange between communities employing tensors and other higher-order representations of directionally dependent data. A significant number of the chapters were co-authored by the participants of the workshop titled Multidisciplinary Approaches to Multivalued Data: Modeling, Visualization, Analysis, which was held in Dagstuhl, Germany in April 2016. It offers a valuable resource for those working in the field of multi-directional data, vital inspirations for the development of new models, and essential analysis and visualization techniques, thus furthering the state-of-the-art in studies involving anisotropy. 410 0$aMathematics and Visualization,$x1612-3786 606 $aMatrix theory 606 $aAlgebra 606 $aComputer mathematics 606 $aMathematics 606 $aVisualization 606 $aOptical data processing 606 $aLinear and Multilinear Algebras, Matrix Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M11094 606 $aComputational Science and Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/M14026 606 $aVisualization$3https://scigraph.springernature.com/ontologies/product-market-codes/M14034 606 $aImage Processing and Computer Vision$3https://scigraph.springernature.com/ontologies/product-market-codes/I22021 615 0$aMatrix theory. 615 0$aAlgebra. 615 0$aComputer mathematics. 615 0$aMathematics. 615 0$aVisualization. 615 0$aOptical data processing. 615 14$aLinear and Multilinear Algebras, Matrix Theory. 615 24$aComputational Science and Engineering. 615 24$aVisualization. 615 24$aImage Processing and Computer Vision. 676 $a530 702 $aSchultz$b Thomas$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aÖzarslan$b Evren$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aHotz$b Ingrid$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254286103321 996 $aModeling, Analysis, and Visualization of Anisotropy$91562451 997 $aUNINA