Search for dissertations about: "Magnus Herberthson"

Showing result 1 - 5 of 6 swedish dissertations containing the words Magnus Herberthson.

  2. 1. Multipole moments of axisymmetric spacetimes

    Author : Thomas Bäckdahl; Magnus Herberthson; Brian Edgar; Kjell Rosquist; Linköpings universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; multipole moments; axisymmetry; spacetimes; prescribed; solutions; static; stationary; Kerr; Weyl; Ernst; Theory of relativity; gravitation; Relativitetsteori; gravitation;

    Abstract : In this thesis we study multipole moments of axisymmetric spacetimes. Using the recursive definition of the multipole moments of Geroch and Hansen we develop a method for computing all multipole moments of a stationary axisymmetric spacetime without the use of a recursion. READ MORE

  4. 2. Conformal Einstein spaces and Bach tensor generalization in n dimensions

    Author : Jonas Bergman Ärlebäck; Brian Edgar; Magnus Herberthson; Mattias Marklund; Linköpings universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; MATHEMATICS; MATEMATIK;

    Abstract : In this thesis we investigate necessary and su±cient conditions for an n-dimensional space, n ≥ 4, to be locally conformal to an Einstein space. After reviewing the classical results derived in tensors we consider the four-dimensional spinor result of Kozameh, Newman and Tod. READ MORE

  5. 3. Diffusion MRI with generalised gradient waveforms : methods, models, and neuroimaging applications

    Author : Deneb Boito; Evren Özarslan; Magnus Herberthson; Anders Eklund; Ida Blystad; Frederik Laun; Linköpings universitet; []
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; Diffusion; Diffusion MRI; Microstructure; Brain; White matter; Microscopic anisotropy; Constrained optimisation;

    Abstract : The incessant, random motion of water molecules within biological tissues reveals unique information about the tissues’ structural and functional characteristics. Diffusion magnetic resonance imaging is sensitive to this random motion, and since the mid-1990s it has been extensively employed for studying the human brain. READ MORE

  6. 4. Manifold learning and representations for image analysis and visualization

    Author : Anders Brun; Hans Knutsson; Magnus Herberthson; Carl-Fredrik Westin; Reiner Lenz; Linköpings universitet; []
    Keywords : MEDICIN OCH HÄLSOVETENSKAP; MEDICAL AND HEALTH SCIENCES; manifold learning; image analysis; signal processing; diffusion tensor mri; Medical informatics; Medicinsk informatik;

    Abstract : We present a novel method for manifold learning, i.e. identification of the low-dimensional manifold-like structure present in a set of data points in a possibly high-dimensional space. The main idea is derived from the concept of Riemannian normal coordinates. READ MORE

  7. 5. Manifolds in Image Science and Visualization

    Author : Anders Brun; Hans Knutsson; Magnus Herberthson; Carl-Fredrik Westin; Roland Wilson; Linköpings universitet; []
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; manifold learning; image analysis; signal processing; diffusion tensor mri; Medical engineering; Medicinsk teknik;

    Abstract : A Riemannian manifold is a mathematical concept that generalizes curved surfaces to higher dimensions, giving a precise meaning to concepts like angle, length, area, volume and curvature. A glimpse of the consequences of a non-flat geometry is given on the sphere, where the shortest path between two points – a geodesic – is along a great circle. READ MORE