Anisotropy Across Fields and Scales
This open access book focuses on processing, modeling, and visualization of anisotropy information, which are often addressed by employing sophisticated mathematical constructs such as tensors and other higher-order descriptors. It also discusses adaptations of such constructs to problems encountere...
Збережено в:
| Формат: | Online |
|---|---|
| Мова: | Англійська |
| Опубліковано: |
Springer Nature
2021
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| Предмети: | |
| Онлайн доступ: | ONIX_20210215_9783030562151_15 |
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| _version_ | 1869530933935210496 |
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| collection | Directory of Open Access Books |
| description | This open access book focuses on processing, modeling, and visualization of anisotropy information, which are often addressed by employing sophisticated mathematical constructs such as tensors and other higher-order descriptors. It also discusses adaptations of such constructs to problems encountered in seemingly dissimilar areas of medical imaging, physical sciences, and engineering. Featuring original research contributions as well as insightful reviews for scientists interested in handling anisotropy information, it covers topics such as pertinent geometric and algebraic properties of tensors and tensor fields, challenges faced in processing and visualizing different types of data, statistical techniques for data processing, and specific applications like mapping white-matter fiber tracts in the brain. The book helps readers grasp the current challenges in the field and provides information on the techniques devised to address them. Further, it facilitates the transfer of knowledge between different disciplines in order to advance the research frontiers in these areas. This multidisciplinary book presents, in part, the outcomes of the seventh in a series of Dagstuhl seminars devoted to visualization and processing of tensor fields and higher-order descriptors, which was held in Dagstuhl, Germany, on October 28–November 2, 2018. |
| format | Online |
| id | doab-20.500.12854ir-63648 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2021 |
| publishDateRange | 2021 |
| publishDateSort | 2021 |
| publisher | Springer Nature |
| publisherStr | Springer Nature |
| record_format | ojs |
| spelling | doab-20.500.12854ir-636482025-03-12T15:42:56Z Anisotropy Across Fields and Scales Özarslan, Evren Schultz, Thomas Zhang, Eugene Fuster, Andrea Visualization Linear and Multilinear Algebras, Matrix Theory Computational Science and Engineering Computer Imaging, Vision, Pattern Recognition and Graphics Theoretical, Mathematical and Computational Physics Data and Information Visualization Linear Algebra tensor tensor fields higher-order harmonics spherical harmonics image processing medical imaging diffusion-weighted imaging (DWI) structural mechanics astrophysics statistics open access Combinatorics & graph theory Algebra Maths for scientists Computer vision Mathematical physics thema EDItEUR::P Mathematics and Science::PB Mathematics::PBV Combinatorics and graph theory thema EDItEUR::P Mathematics and Science::PB Mathematics::PBF Algebra thema EDItEUR::P Mathematics and Science::PD Science: general issues::PDE Maths for scientists thema EDItEUR::U Computing and Information Technology::UY Computer science::UYQ Artificial intelligence::UYQV Computer vision thema EDItEUR::P Mathematics and Science::PH Physics::PHU Mathematical physics This open access book focuses on processing, modeling, and visualization of anisotropy information, which are often addressed by employing sophisticated mathematical constructs such as tensors and other higher-order descriptors. It also discusses adaptations of such constructs to problems encountered in seemingly dissimilar areas of medical imaging, physical sciences, and engineering. Featuring original research contributions as well as insightful reviews for scientists interested in handling anisotropy information, it covers topics such as pertinent geometric and algebraic properties of tensors and tensor fields, challenges faced in processing and visualizing different types of data, statistical techniques for data processing, and specific applications like mapping white-matter fiber tracts in the brain. The book helps readers grasp the current challenges in the field and provides information on the techniques devised to address them. Further, it facilitates the transfer of knowledge between different disciplines in order to advance the research frontiers in these areas. This multidisciplinary book presents, in part, the outcomes of the seventh in a series of Dagstuhl seminars devoted to visualization and processing of tensor fields and higher-order descriptors, which was held in Dagstuhl, Germany, on October 28–November 2, 2018. 2021-02-17T08:45:01Z 2021-02-17T08:45:01Z 2021-02-15T10:20:27Z 2021 book ONIX_20210215_9783030562151_15 OCN: 1240211601 https://library.oapen.org/handle/20.500.12657/46809 https://directory.doabooks.org/handle/20.500.12854/63648 eng Mathematics and Visualization open access image/jpeg image/jpeg image/jpeg n/a n/a n/a https://library.oapen.org/bitstream/20.500.12657/46809/1/2021_Book_AnisotropyAcrossFieldsAndScale.pdf https://library.oapen.org/bitstream/20.500.12657/46809/1/2021_Book_AnisotropyAcrossFieldsAndScale.pdf https://library.oapen.org/bitstream/20.500.12657/46809/1/2021_Book_AnisotropyAcrossFieldsAndScale.pdf Springer Nature Springer 10.1007/978-3-030-56215-1 10.1007/978-3-030-56215-1 9fa3421d-f917-4153-b9ab-fc337c396b5a 63b5f0bf-446f-445e-b9ff-730f3a9ffcd8 Springer 280 [grantnumber unknown] open access |
| spellingShingle | Visualization Linear and Multilinear Algebras, Matrix Theory Computational Science and Engineering Computer Imaging, Vision, Pattern Recognition and Graphics Theoretical, Mathematical and Computational Physics Data and Information Visualization Linear Algebra tensor tensor fields higher-order harmonics spherical harmonics image processing medical imaging diffusion-weighted imaging (DWI) structural mechanics astrophysics statistics open access Combinatorics & graph theory Algebra Maths for scientists Computer vision Mathematical physics thema EDItEUR::P Mathematics and Science::PB Mathematics::PBV Combinatorics and graph theory thema EDItEUR::P Mathematics and Science::PB Mathematics::PBF Algebra thema EDItEUR::P Mathematics and Science::PD Science: general issues::PDE Maths for scientists thema EDItEUR::U Computing and Information Technology::UY Computer science::UYQ Artificial intelligence::UYQV Computer vision thema EDItEUR::P Mathematics and Science::PH Physics::PHU Mathematical physics Anisotropy Across Fields and Scales |
| title | Anisotropy Across Fields and Scales |
| title_full | Anisotropy Across Fields and Scales |
| title_fullStr | Anisotropy Across Fields and Scales |
| title_full_unstemmed | Anisotropy Across Fields and Scales |
| title_short | Anisotropy Across Fields and Scales |
| title_sort | anisotropy across fields and scales |
| topic | Visualization Linear and Multilinear Algebras, Matrix Theory Computational Science and Engineering Computer Imaging, Vision, Pattern Recognition and Graphics Theoretical, Mathematical and Computational Physics Data and Information Visualization Linear Algebra tensor tensor fields higher-order harmonics spherical harmonics image processing medical imaging diffusion-weighted imaging (DWI) structural mechanics astrophysics statistics open access Combinatorics & graph theory Algebra Maths for scientists Computer vision Mathematical physics thema EDItEUR::P Mathematics and Science::PB Mathematics::PBV Combinatorics and graph theory thema EDItEUR::P Mathematics and Science::PB Mathematics::PBF Algebra thema EDItEUR::P Mathematics and Science::PD Science: general issues::PDE Maths for scientists thema EDItEUR::U Computing and Information Technology::UY Computer science::UYQ Artificial intelligence::UYQV Computer vision thema EDItEUR::P Mathematics and Science::PH Physics::PHU Mathematical physics |
| topic_facet | Visualization Linear and Multilinear Algebras, Matrix Theory Computational Science and Engineering Computer Imaging, Vision, Pattern Recognition and Graphics Theoretical, Mathematical and Computational Physics Data and Information Visualization Linear Algebra tensor tensor fields higher-order harmonics spherical harmonics image processing medical imaging diffusion-weighted imaging (DWI) structural mechanics astrophysics statistics open access Combinatorics & graph theory Algebra Maths for scientists Computer vision Mathematical physics thema EDItEUR::P Mathematics and Science::PB Mathematics::PBV Combinatorics and graph theory thema EDItEUR::P Mathematics and Science::PB Mathematics::PBF Algebra thema EDItEUR::P Mathematics and Science::PD Science: general issues::PDE Maths for scientists thema EDItEUR::U Computing and Information Technology::UY Computer science::UYQ Artificial intelligence::UYQV Computer vision thema EDItEUR::P Mathematics and Science::PH Physics::PHU Mathematical physics |
| url | ONIX_20210215_9783030562151_15 |