Visualization and Processing of Tensor Fields, Joachim Weickert; Hans Hagen
Автор: Ralph Abraham; Jerrold E. Marsden; Tudor Ratiu Название: Manifolds, Tensor Analysis, and Applications ISBN: 1461269903 ISBN-13(EAN): 9781461269908 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents core material in nonlinear analysis, offering working knowledge of manifolds, dynamical systems, tensors and differential forms. Coverage includes Hamiltonian mechanics, fluid mechanics, electromagnetism, plasma dynamics and control theory.
Автор: James G. Simmonds Название: A Brief on Tensor Analysis ISBN: 1461264243 ISBN-13(EAN): 9781461264248 Издательство: Springer Рейтинг: Цена: 5723.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: There are three changes in the second edition. First, with the help of readers and colleagues-thanks to all-I have corrected typographical errors and made minor changes in substance and style. Second, I have added a fewmore Exercises, especially at the end ofChapter4.Third, I have appended a section on Differential Geometry, the essential mathematical tool in the study of two-dimensional structural shells and four-dimensional general relativity. JAMES G. SIMMONDS vii Preface to the First Edition When I was an undergraduate, working as a co-op student at North Ameri- can Aviation, I tried to learn something about tensors. In the Aeronautical Engineering Department at MIT, I had just finished an introductory course in classical mechanics that so impressed me that to this day I cannot watch a plane in flight-especially in a turn-without imaging it bristling with vec- tors. Near the end of the course the professor showed that, if an airplane is treated as a rigid body, there arises a mysterious collection of rather simple- looking integrals called the components of the moment of inertia tensor.
Автор: David H. Laidlaw; Joachim Weickert Название: Visualization and Processing of Tensor Fields ISBN: 3642100031 ISBN-13(EAN): 9783642100031 Издательство: Springer Рейтинг: Цена: 23058.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book provides researchers an inspirational look at how to process and visualize complicated 2D and 3D images known as tensor fields. With numerous color figures, it details both the underlying mathematics and the applications of tensor fields.
Описание: Bringing together key researchers in disciplines ranging from visualization and image processing to applications in structural mechanics, fluid dynamics, elastography, and numerical mathematics, the workshop that generated this edited volume was the third in the successful Dagstuhl series.
Part I: Tensor Data Visualization: Top Challenges in the Visualization of Engineering Tensor Fields: M Hlawitschka et al.- Tensor Invariants and Glyph Design: A. Kratz et al.- Part II: Representation and Processing of Higher-order Descriptors: Monomial Phase: A Matrix Representation of Local Phase: H. Knutsson et al.- Order Based Morphology for Colour Images via Matrix Fields: B. Burgeth et al.- Sharpening Fibers in Diffusion Weighted MRI via Erosion: T.C.J. Dela Haije et al.- Part III: Higher Order Tensors and Riemannian-Finsler Geometry: Higher-Order Tensors in Diffusion Imaging: Thomas Schultz et al.- 4th Order Symmetric Tensors and Positive ADC Modelling: A. Ghosh et al.- Riemann-Finsler Geometry for Diffusion Weighted Magnetic Resonance Imaging: L.Florack et al.- Riemann-Finsler Multi-Valued Geodesic Tractography for HARDI: N.Sepasian et al.- Part IV: Tensor Signal Processing: Kernel-based Morphometry of Diffusion Tensor Images: M. Ingalhalikar et al.- The Estimation of Free-Water Corrected Diffusion Tensors: O. Pasternak et al.- Techniques for Computing Fabric Tensors: A Review: R. Moreno et al.- Part V: Applications of tensor processing: Tensors in Geometry Processing: E. Zhang.- Preliminary findings in diagnostic prediction of schizophrenia using diffusion tensor imaging: Y.Rathi et al.- A System for Combined Visualization of EEG and Diffusion Tensor Imaging Tractography Data: A. Wiebel et al.
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