Browsing Masters Degrees (Mathematical Sciences) by Title

Now showing items 1-20 of 216

  • 3D numerical techniques for determining the foot of a continental slope 

    Pantland, Nicolette Ariana (Stellenbosch : Stellenbosch University, 2004-12)
    ENGLISH ABSTRACT: The United Nations Convention on the Law of the Sea (UNCLOS) provides an opportunity for qualifying coastal signatory states to claim extended maritime estate. The opportunity to claim rests on the ...

  • 3D position estimation of sports players through multi-view tracking 

    Vos, Robert (Robbie) (Stellenbosch : University of Stellenbosch, 2010-12)
    ENGLISH ABSTRACT: Extracting data from video streams and using the data to better understand the observed world allows many systems to automatically perform tasks that ordinarily needed to be completed by humans. One ...

  • A 3D Virtual Environment Development Platform for ASD Therapy Tools 

    Chamberlain, Morne Edward (Stellenbosch : University of Stellenbosch, 2009-12)
    ENGLISH ABSTRACT: The aim of this thesis is to develop a generic 3D virtual environment development platform for autism spectrum disorder (ASD) therapy tools. The potential of using computerised therapy tools for ASD ...

  • Accurate camera position determination by means of moiré pattern analysis 

    Zuurmond, Gideon Joubert (Stellenbosch : Stellenbosch University, 2015-03)
    English abstract: We introduce a method for determining the position of a camera with accuracy beyond that which is obtainable through conventional methods, using a single image of a specially constructed calibration ...

  • An adaptive feature-based tracking system 

    Pretorius, Eugene (Stellenbosch : University of Stellenbosch, 2008-03)
    In this paper, tracking tools are developed based on object features to robustly track the object using particle filtering. Automatic on-line initialisation techniques use motion detection and dynamic background modelling ...

  • Adaptive occupancy grid mapping with measurement and pose uncertainty 

    Joubert, Daniek (Stellenbosch : Stellenbosch University, 2012-12)
    ENGLISH ABSTRACT: In this thesis we consider the problem of building a dense and consistent map of a mobile robot’s environment that is updated as the robot moves. Such maps are vital for safe and collision-free ...

  • An algebraic framework for reasoning about security 

    Rajaona, Solofomampionona Fortunat (Stellenbosch : Stellenbosch University, 2013-03)
    ENGLISH ABSTRACT: Stepwise development of a program using refinement ensures that the program correctly implements its requirements. The specification of a system is “refined” incrementally to derive an implementable ...

  • American Monte Carlo option pricing under pure jump levy models 

    West, Lydia (Stellenbosch : Stellenbosch University, 2013-03)
    ENGLISH ABSTRACT: We study Monte Carlo methods for pricing American options where the stock price dynamics follow exponential pure jump L évy models. Only stock price dynamics for a single underlying are considered. The ...

  • Analysing ranking algorithms and publication trends on scholarly citation networks 

    Dunaiski, Marcel Paul (Stellenbosch : Stellenbosch University, 2014-12)
    ENGLISH ABSTRACT: Citation analysis is an important tool in the academic community. It can aid universities, funding bodies, and individual researchers to evaluate scientific work and direct resources appropriately. With ...

  • Analysis of the effects of growth-fragmentation-coagulation in phytoplankton dynamics 

    Omari, Mohamed (Stellenbosch : Stellenbosch University, 2011-12)
    ENGLISH ABSTRACT: An integro-differential equation describing the dynamical behaviour of phytoplankton cells is considered in which the effects of cell division and aggregation are incorporated by coupling the ...

  • Analytic models of TCP performance 

    Kassa, Debassey Fesehaye (Stellenbosch : University of Stellenbosch, 2011-10)
    ENGLISH ABSTRACT: The majority of tra c on the Internet uses the Transmission Control Protocol (TCP) as a transport layer protocol for the end-to-end control of information transfer. Measurement, simulation and analytical ...

  • An application of photogrammetry in the petrochemical industry 

    Singels, Wynand (Stellenbosch : Stellenbosch University, 2008-03)
    When building or improving a petrochemical plant, drawings are used extensively in the design process. However, existing petrochemical plants seldom match their drawings, or the drawings are lost, forcing the need to ...

  • Applications of change of numéraire for option pricing 

    Le Roux, Gawie (Stellenbosch : University of Stellenbosch, 2007-12)
    The word numéraire refers to the unit of measurement used to value a portfolio of assets. The change of numéraire technique involves converting from one measurement to another. The foreign exchange markets are natural ...

  • Audio-visual automatic speech recognition using Dynamic Bayesian Networks 

    Reikeras, Helge (Stellenbosch : University of Stellenbosch, 2011-03)
    Please refer to full text to view abstract.

  • Automated brick sculpture construction 

    Smal, Eugene (Stellenbosch : Stellenbosch University, 2008-12)
    In this thesis we consider the modelling of a particular layout optimisation problem, namely, the LEGO construction problem. The LEGO construction problem, in short, concerns the optimal layout of a set of LEGO bricks ...

  • Automated face detection and recognition for a login system 

    Louw, Lloyd A. B. (Stellenbosch : University of Stellenbosch, 2007-03)
    The face is one of the most characteristic parts of the human body and has been used by people for personal identification for centuries. In this thesis an automatic process for frontal face recognition from 2–dimensional ...

  • Automorphisms of curves and the lifting conjecture 

    Brewis, Louis Hugo (Stellenbosch : University of Stellenbosch, 2005-12)
    It is an open question whether or not one can always lift Galois extensions of smooth algebraic curves in characteristic p to Galois extensions of smooth relative curves in characteristic 0. In this thesis we study some ...

  • Autonomous robot path planning 

    Crous, C. B. (Stellenbosch : University of Stellenbosch, 2009-03)
    In this thesis we consider the dynamic path planning problem for robotics. The dynamic path planning problem, in short, is the task of determining an optimal path, in terms of minimising a given cost function, from one ...

  • Background subtraction algorithms for a video based system 

    Profitt, Barton (Stellenbosch : University of Stellenbosch, 2009-12)
    ENGLISH ABSTRACT: To reliably classify parts of an image sequence as foreground or background is an important part of many computer vision systems, such as video surveillance, tracking and robotics. It can also be important ...

  • A bandwidth market for traffic engineering in telecommunication networks 

    Combrink, J. J. (Jacobus Johannes) (Stellenbosch : Stellenbosch University, 2004-04)
    ENGLISH ABSTRACT: Traffic engineering determines the bandwidth allocation required to meet the traffic loads in a network. Similarly an economic market determines the resource allocation required to meet the demand for ...