Blar i Department of Mathematics på emneord "VDP::Mathematics and natural science: 400::Mathematics: 410"
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An approximate hybrid method for modeling of electromagnetic scattering from an underground target
(Doctoral thesis, 2010-12-09)The detection of a potential petroleum reservoir is achieved through inversion of electromagnetic data acquired in sea floor receivers. Inversion of electromagnetic data requires a number of repeated solves of the ... -
Comparison of distance measures in Multimodal registration of medical images
(Master thesis, 2011-06-14)In this thesis I have worked with medical image registration, in particular registration of multimodal images. I have tested the image registration software package FAIR developed by Jan Modersitzki, with particular focus ... -
A Continuous Max-Flow Approach to Minimal Partitions with Label Cost Prior
(Chapter; Peer reviewed, 2011)This paper investigates a convex relaxation approach for minimum description length (MDL) based image partitioning or labeling, which proposes an energy functional regularized by the spatial smoothness prior joint with a ... -
Efficient Global Minimization for the Multiphase Chan-Vese Model of Image Segmentation
(Peer reviewed; Journal article, 2009)The Mumford-Shah model is an important variational image segmentation model. A popular multiphase level set approach, the Chan-Vese model, was developed as a numerical realization by representing the phases by several ... -
Efficient global minimization methods for variational problems in imaging and vision
(Doctoral thesis, 2011-08-19)Energy minimization has become one of the most important paradigms for formulating image processing and computer vision problems in a mathematical language. Energy minimization models have been developed in both the ... -
A Fast Continuous Max-Flow Approach to Non-Convex Multilabeling Problems
(Working paper, 2011)This work addresses a class of multilabeling problems over a spatially continuous image domain, where the data fidelity term can be any bounded function, not necessarily convex. Two total variation based regularization ... -
Feasibility of simplified integral equation modeling of low-frequency marine CSEM with a resistive target
(Peer reviewed; Journal article, 2009)We have assessed the accuracy of a simplified integral equation (SIE) modeling approach for marine controlledsource electromagnetics (CSEM) with low applied frequencies and a resistive target. The most computationally ... -
The Flow of Quasiconformal Mappings on S³ with Contact structure and a Family of Surfaces on the Heisenberg Group
(Master thesis, 2011-05-31) -
Global Minimization for Continuous Multiphase Partitioning Problems Using a Dual Approach
(Peer reviewed; Journal article, 2011)This paper is devoted to the optimization problem of continuous multi-partitioning, or multi-labeling, which is based on a convex relaxation of the continuous Potts model. In contrast to previous efforts, which are tackling ... -
Gode rank 1 latticereglar av høg dimensjon
(Master thesis, 2011-06-01)Oppgåva omhandlar numeriske integrasjonsreglar av trigonometrisk grad kalla latticereglar, med særskild fokus på å utvikle og teste algoritmer for å finne gode latticereglar av rank 1. For at teksten skal kunne stå ... -
Injective braids, braided operads and double loop spaces
(Master thesis, 2011-06-01)We construct the category of B-spaces, which is a braided monoidal diagram category. This category is Quillen equivalent to the category of simplicial sets. The induced equivalence of homotopy categories maps a commutative ... -
Lattice-Boltzmann modelling of spatial variation in surface tension and wetting effects
(Doctoral thesis, 2010-08-26)The main focus of the project which is the foundation of the thesis is to study the effects spatial variations in capillary effects have on fluid flow. This requires knowledge of the underlying fluid flow equations, and ... -
Modulus method and its application to the theory of univalent functions
(Master thesis, 2011-05-23)This work is about the modulus method in univalent function theory. It is based on the notion of modulus of families of curves on Riemann surface and is turned out to be very useful in solving various extremal problems in ... -
New examples of curves with a one-dimensional family of pencils of minimal degree
(Peer reviewed; Journal article, 2011-07-14)We give a geometric construction of sub-linear systems on a K3 surface consisting of smooth curves C with infinitely many g1 gon(C)’s. -
Nonholonomic geometry on finite and infinite dimensional Lie groups and rolling manifolds
(Doctoral thesis, 2012-03-30)Part I: We start by giving some background on the topics discussed in this thesis. The main topic of the thesis is nonholonomic geometry. In Chapter 1 we give an introduction of nonholonomic geometry in the context of ... -
Open-source MATLAB implementation of consistent discretisations on complex grids
(Peer reviewed; Journal article, 2011-08-02)Accurate geological modelling of features such as faults, fractures or erosion requires grids that are flexible with respect to geometry. Such grids generally contain polyhedral cells and complex grid-cell connectivities. ... -
Potensialet for dyp geotermisk energi i Norge: Modellering av varmeutvinning fra konstruerte geotermiske system
(Master thesis, 2010-10-05)Dette prosjektet tar for seg to ulike modeller for et konstruert geotermisk system; et lukket enkeltbrønn-system og et åpent, sprekkdominert system. Enkeltbrønn-systemet er modellert eksplisitt, og modellen er også tilpasset ... -
Reactive Transport in Porous Media
(Master thesis, 2011-08-01)In this thesis, we show how the common equations for flow in porous media can be expanded to account for geochemical reactions. Furthermore, the complications arising when solving the new equations numerically are described ... -
Reconstructing Open Surfaces via Graph-Cuts
(Journal article, 2011)A novel graph-cuts-basedmethod is proposed for reconstructing open surfaces from unordered point sets. Through a boolean operation on the crust around the data set, the open surface problem is translated to a watertight ... -
Sequential Data Assimilation in High Dimensional Nonlinear Systems
(Doctoral thesis, 2011-10-21)Since its introduction in 1994, the ensemble Kalman filter (EnKF) has gained a lot of attention as a tool for sequential data assimilation in many scientific areas. Due to its computationally fast and easy to implement ...