Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data [[electronic resource] /] / edited by Carl-Fredrik Westin, Anna Vilanova, Bernhard Burgeth |
Edizione | [1st ed. 2014.] |
Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2014 |
Descrizione fisica | 1 online resource (346 p.) |
Disciplina | 515.63 |
Collana | Mathematics and Visualization |
Soggetto topico |
Mathematics
Visualization Partial differential equations Differential geometry Optical data processing Computer graphics Mathematical physics Partial Differential Equations Differential Geometry Computer Imaging, Vision, Pattern Recognition and Graphics Computer Graphics Theoretical, Mathematical and Computational Physics |
ISBN | 3-642-54301-4 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | 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. |
Record Nr. | UNINA-9910299992203321 |
Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2014 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
The Volume of Vector Fields on Riemannian Manifolds [[electronic resource] ] : Main Results and Open Problems / / by Olga Gil-Medrano |
Autore | Gil-Medrano Olga |
Edizione | [1st ed. 2023.] |
Pubbl/distr/stampa | Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2023 |
Descrizione fisica | 1 online resource (131 pages) |
Disciplina | 516 |
Collana | Lecture Notes in Mathematics |
Soggetto topico |
Geometry
Mathematical analysis Geometry, Differential Global analysis (Mathematics) Manifolds (Mathematics) Analysis Differential Geometry Global Analysis and Analysis on Manifolds |
ISBN | 3-031-36857-6 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Intro -- Preface -- Funding Acknowledgements -- Contents -- 1 Introduction -- 2 Minimal Sections of Tensor Bundles -- 2.1 Geometry of the Submanifold Determined by a Section of a Tensor Bundle -- 2.2 Minimal Sections of Tensor Bundles and Sphere Subbundles -- 2.3 First Variation of the Volume of Vector Fields: Minimal Vector Fields -- 2.4 Second Variation of the Volume of Vector Fields -- 2.5 The 2-Dimensional Case -- 2.6 Notes -- 2.6.1 Sections That Are Harmonic Maps -- 2.6.2 Sections That Are Critical Pointsof the Energy Functional -- 2.6.3 Minimal Oriented Distributions -- 3 Minimal Vector Fields of Constant Length on the Odd-Dimensional Spheres -- 3.1 Minimality of the Hopf Vector Fields -- 3.2 Study of the Stability of the Hopf Vector Fields -- 3.3 Stability of the Hopf Vector Fields of Odd-Dimensional Space Forms of Positive Curvature -- 3.4 Notes -- 3.4.1 Spheres and Their Quotients with Berger Metrics -- 3.4.2 The Minimality Condition for Unit Killing Vector Fields -- 3.4.3 Minimality of the Characteristic Vector Field of a Contact Riemannian Manifold -- 3.4.4 Minimal Invariant Vector Fields on Lie Groups and Homogeneous Spaces -- 3.4.5 Examples Related with Complex and Quaternionic Structures -- 4 Vector Fields of Constant Length of Minimum Volume on the Odd-Dimensional Spherical Space Forms -- 4.1 Hopf Vector Fields as Volume Minimisers in the 3-Dimensional Case -- 4.2 Hopf Vector Fields on 3-Dimensional Spheres with the Berger Metrics -- 4.3 Lower Bound of the Volume of Vector Fields of Constant Length -- 4.4 Asymptotic Behaviour of the Volume Functional -- 4.5 Notes -- 4.5.1 Unit Vector Fields on the Two-Dimensional Torus -- 4.5.2 Lower Bound of the Volume of Unit Vector Fields on Hypersurfaces of Rn+1 -- 4.5.3 Almost Hermitian Structures on S6 That Minimise the Volume -- 4.5.4 Minimisers of Functionals Related with the Energy.
5 Vector Fields of Constant Length on Punctured Spheres -- 5.1 The Radial Vector Fields -- 5.2 Parallel Transport Vector Fields -- 5.3 The Main Open Problem -- 5.4 Area Minimising Vector Fields on the 2-Sphere -- 5.5 Notes -- 5.5.1 Radial Vector Fields on Riemannian Manifolds -- 5.5.2 Minimisers of the Volume Among Unit Vector Fields with Singular Points -- References. |
Record Nr. | UNINA-9910736012303321 |
Gil-Medrano Olga | ||
Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2023 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
The Volume of Vector Fields on Riemannian Manifolds [[electronic resource] ] : Main Results and Open Problems / / by Olga Gil-Medrano |
Autore | Gil-Medrano Olga |
Edizione | [1st ed. 2023.] |
Pubbl/distr/stampa | Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2023 |
Descrizione fisica | 1 online resource (131 pages) |
Disciplina | 516 |
Collana | Lecture Notes in Mathematics |
Soggetto topico |
Geometry
Mathematical analysis Geometry, Differential Global analysis (Mathematics) Manifolds (Mathematics) Analysis Differential Geometry Global Analysis and Analysis on Manifolds |
ISBN | 3-031-36857-6 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Intro -- Preface -- Funding Acknowledgements -- Contents -- 1 Introduction -- 2 Minimal Sections of Tensor Bundles -- 2.1 Geometry of the Submanifold Determined by a Section of a Tensor Bundle -- 2.2 Minimal Sections of Tensor Bundles and Sphere Subbundles -- 2.3 First Variation of the Volume of Vector Fields: Minimal Vector Fields -- 2.4 Second Variation of the Volume of Vector Fields -- 2.5 The 2-Dimensional Case -- 2.6 Notes -- 2.6.1 Sections That Are Harmonic Maps -- 2.6.2 Sections That Are Critical Pointsof the Energy Functional -- 2.6.3 Minimal Oriented Distributions -- 3 Minimal Vector Fields of Constant Length on the Odd-Dimensional Spheres -- 3.1 Minimality of the Hopf Vector Fields -- 3.2 Study of the Stability of the Hopf Vector Fields -- 3.3 Stability of the Hopf Vector Fields of Odd-Dimensional Space Forms of Positive Curvature -- 3.4 Notes -- 3.4.1 Spheres and Their Quotients with Berger Metrics -- 3.4.2 The Minimality Condition for Unit Killing Vector Fields -- 3.4.3 Minimality of the Characteristic Vector Field of a Contact Riemannian Manifold -- 3.4.4 Minimal Invariant Vector Fields on Lie Groups and Homogeneous Spaces -- 3.4.5 Examples Related with Complex and Quaternionic Structures -- 4 Vector Fields of Constant Length of Minimum Volume on the Odd-Dimensional Spherical Space Forms -- 4.1 Hopf Vector Fields as Volume Minimisers in the 3-Dimensional Case -- 4.2 Hopf Vector Fields on 3-Dimensional Spheres with the Berger Metrics -- 4.3 Lower Bound of the Volume of Vector Fields of Constant Length -- 4.4 Asymptotic Behaviour of the Volume Functional -- 4.5 Notes -- 4.5.1 Unit Vector Fields on the Two-Dimensional Torus -- 4.5.2 Lower Bound of the Volume of Unit Vector Fields on Hypersurfaces of Rn+1 -- 4.5.3 Almost Hermitian Structures on S6 That Minimise the Volume -- 4.5.4 Minimisers of Functionals Related with the Energy.
5 Vector Fields of Constant Length on Punctured Spheres -- 5.1 The Radial Vector Fields -- 5.2 Parallel Transport Vector Fields -- 5.3 The Main Open Problem -- 5.4 Area Minimising Vector Fields on the 2-Sphere -- 5.5 Notes -- 5.5.1 Radial Vector Fields on Riemannian Manifolds -- 5.5.2 Minimisers of the Volume Among Unit Vector Fields with Singular Points -- References. |
Record Nr. | UNISA-996542671803316 |
Gil-Medrano Olga | ||
Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2023 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. di Salerno | ||
|
Vorlesungen über asymptotische Reihen [[electronic resource] /] / von F. Pittnauer |
Autore | Pittnauer F |
Edizione | [1st ed. 1972.] |
Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1972 |
Descrizione fisica | 1 online resource (VI, 188 S.) |
Disciplina | 516.36 |
Collana | Lecture Notes in Mathematics |
Soggetto topico |
Differential geometry
Differential Geometry |
ISBN | 3-540-38077-9 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | ger |
Nota di contenuto | Grundeigenschaften -- Existenzsätze -- Eindeutigkeitssätze -- Struktureigenschaften -- Asymptotische Entwicklungen spezieller Funktionen -- Numerische Anwendungen. |
Record Nr. | UNISA-996466589403316 |
Pittnauer F | ||
Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1972 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. di Salerno | ||
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Wagner’s Theory of Generalised Heaps [[electronic resource] /] / by Christopher D. Hollings, Mark V. Lawson |
Autore | Hollings Christopher D |
Edizione | [1st ed. 2017.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 |
Descrizione fisica | 1 online resource (XV, 189 p. 19 illus.) |
Disciplina | 512.2 |
Soggetto topico |
Group theory
Mathematics History Differential geometry Group Theory and Generalizations History of Mathematical Sciences Differential Geometry |
ISBN | 3-319-63621-9 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | 1. Introduction -- 2. Viktor VladimirovichWagner (1908–1981) -- 3. Wagner’s work in historical context -- 4. Notes on the translations -- 5. A ternary algebraic operation in the theory of coordinate structures -- 6. On the theory of partial transformations -- 7. Generalised groups -- 8. Theory of generalised heaps and generalised groups -- 9. Generalised heaps as affine structures. - Wagner’s publications. –Index. |
Record Nr. | UNINA-9910254303203321 |
Hollings Christopher D | ||
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|