Department of Applied Mathematics

Recent Submissions

  • Hand vein-based biometric authentication with limited training samples 

    Beukes, Emile (Stellenbosch : Stellenbosch University, 2018-03)
    ENGLISH ABSTRACT : A number of novel hand vein-based biometric authentication systems are proposed. Said systems are non-intrusive and may for example assist with user authentication at automated teller machines. An ...

  • Short-term stream flow forecasting and downstream gap infilling using machine learning techniques 

    Steyn, Melise (Stellenbosch : Stellenbosch University, 2018-03)
    ENGLISH ABSTRACT : Stream flow is an important component in the hydrological cycle and plays a vital role in many hydrological applications. Accurate stream flow forecasts may be used for the study of various hydro-environmental ...

  • Automated elephant detection and classification from aerial infrared and colour images using deep learning 

    Marais, Jacques Charles (Stellenbosch : Stellenbosch University, 2018-03)
    ENGLISH ABSTRACT : In this study we attempt to detect and classify elephants in aerial images using deep learning. This is not a trivial task even for a human since elephants naturally blend in with their surroundings, making ...

  • Developing a methodology for the assessment of wave energy along the South African Coast 

    Gweba, Bafana (Stellenbosch : Stellenbosch University, 2018-03-19)
    ENGLISH ABSTRACT : Ocean wave energy can become one of the alternative energy resources for fossil-fuelled power generation in South Africa. Due to global warming, several studies about the generation of wave energy have ...

  • Modifying and generalising the Radon transform for improved curve-sensitive feature extraction 

    Fick, Carlien (Stellenbosch : Stellenbosch University, 2017-12-01)
    ENGLISH ABSTRACT : In this thesis a novel and generic feature extraction protocol that is based on the well-known standard discrete Radon transform (SDRT) is presented. The SDRT is traditionally associated with computerised ...

  • Predicting the effect of biofilm growth on the pressure drop over a biofilter 

    van Jaarsveld, Jacoline (Stellenbosch : Stellenbosch University, 2017-12)
    ENGLISH ABSTRACT : Hydrogen sulphide is a poisonous gas produced by several industries. It is therefore crucial to investigate and mathematically model the environmentally friendly biofiltration process, which has the ...

  • Die fassinerende meganika van hoppende fietswiele 

    Theron, Willem; Maritz, Milton (LitNet, 2016-05-26)
    Die gedrag van eksentries-belaaide wiele of hoepels het tydens die afgelope twee dekades aandag geniet, veral met betrekking tot sulke wiele se geneigdheid om te hop. Hier word ’n oorsig gegee oor die verskillende aspekte ...

  • Text detection in natural images using convolutional neural networks 

    Grond, Marco Marten (Stellenbosch : Stellenbosch University, 2017-03)
    ENGLISH ABSTRACT : In this study we attempt to solve the problem of text detection in natural images. This requires us to identify regions in a natural image that contain text. Possible applications range from assistive ...

  • Shark identification using the notches in the dorsal fin 

    Marais, Tessa (Stellenbosch : Stellenbosch University, 2016-12)
    ENGLISH ABSTRACT : In order to protect endangered species, such as the Great White shark, a reliable estimate of the population is needed. In counting animals, it is necessary to be able to distinguish between individuals. ...

  • Tracking with context 

    Du Toit, Carlo (Stellenbosch : Stellenbosch University, 2016-12-01)
    ENGLISH ABSTRACT : Tracking in an unconstrained environment presents a difficult challenge. Abrupt object motion, appearance changes, non-rigid objects and occlusion are but a few of the trials faced. To overcome these ...

  • The study of similarity score calculation methods for minutia-based fingerprint matching algorithms 

    De Kock, Antonie Johannes (Stellenbosch : Stellenbosch University, 2016-11)
    ENGLISH ABSTRACT : This study aims to establish guidelines for calculating the similarity score between two minutia point representations of ngerprints for minutia-based ngerprint matching. Existing research does not ...

  • Internal ballistic modelling of solid rocket motors using level set methods for simulating grain burnback 

    Tshokotsha, Mvuyisi Humprey (Stellenbosch : Stellenbosch University, 2016-03)
    ENGLISH ABSTRACT : Solid Rocket Motors are propulsive systems providing thrust from products exiting through a nozzle, obtained by burning a solid fuel (the grain) inside a chamber. Various thrust profiles can be obtained ...

  • Image deblurring and blur kernel estimation of motion blurred colour photographs 

    Engelbrecht, Jan-At (Stellenbosch : Stellenbosch University, 2016-02-23)
    ENGLISH ABSTRACT : Blurred images can be restored using known deconvolution methods. Image blur can be caused by various factors during the image acquisition phase, such as camera defocus or motion. The restoration of ...

  • A probabilistic graphical model approach to solving the structure and motion problem 

    Streicher, Simon Frederik (Stellenbosch : Stellenbosch University, 2016-03)
    ENGLISH ABSTRACT: Probabilistic graphical models show great promise in resolving uncertainty within large systems by using probability theory. However, the focus is usually on problems with a discrete representation, or ...

  • The implementation of the discontinuous Galerkin method for two-dimensional Maxwell equations in Nektar++ 

    Sall, Mamadou Baïlo (Stellenbosch : Stellenbosch University, 2016-03)
    ENGLISH ABSTRACT : Maxwell's equations consist of various laws of electromagnetism and can be written in two different modes in two dimensions: the transverse electric(TE) mode and the transverse magnetic(TM) mode. Various ...

  • Time series analysis of data measured in the nearshore area 

    Mphasha, Rosa (Stellenbosch : Stellenbosch University, 2016-03)
    ENGLISH ABSTRACT : Factors that lead to the generation of currents in the nearshore area within the Natal Bight were investigated. The investigation was carried out on data that spans from the 6th June 2012 to the 16th ...

  • scikit-image : image processing in Python 

    Van der Walt, Stefan; Schonberger, Johannes L.; Nunez-Iglesias, Juan; Boulogne, Francois; Warner, Joshua D.; Yager, Neil; Gouillart, Emmanuelle; Yu, Tony (PeerJ, 2014-06-19)
    scikit-image is an image processing library that implements algorithms and utilities for use in research, education and industry applications. It is released under the liberal Modified BSD open source license, provides a ...

  • Writer-independent handwritten signature verification 

    Swanepoel, Jacques Philip (Stellenbosch : Stellenbosch University, 2015-12)
    AFRIKAANSE OPSOMMING : In hierdie verhandeling stel ons 'n nuwe strategie vir outomatiese handtekening-verifikasie voor. Die voorgestelde raamwerk gebruik 'n skrywer-onafhanklike benadering tot handtekening- modellering ...

  • Incipient motion of shells and shell fragments 

    Troch, Christophe Nicolas Aimé (Stellenbosch : Stellenbosch University, 2015-12)
    ENGLISH ABSTRACT : In the present study, the erosion characteristics of shells and shell fragments are investigated. When shells settle, they settle like leaves, where the biggest cross section is exposed to the drag, ...

  • Analysis of Extreme Events in the Coastal Engineering Environment 

    Stander, Cornel (Stellenbosch : Stellenbosch University, 2015-12)
    ENGLISH ABSTRACT : Coastal zones are subject to storm events and extreme waves with certain return periods. The return period of such events is defined as the average time interceding two independent, consecutive events, ...

  • 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 ...

  • Investigation of a simplified open boundary condition for coastal and shelf sea hydrodynamic models 

    Shabangu, Patrick Eminet (Stellenbosch : Stellenbosch University, 2015-03)
    ENGLISH ABSTRACT : In general, coastal and shelf hydrodynamic modelling is undertaken with limited area numerical models such as Delft3D or Mike 21. To conduct successful numerical simulations these programmes require ...

  • Video Surveillance Incorporating Pan-Tilt-Zoom Cameras 

    Holtzhausen, Petrus Jacobus (Stellenbosch : Stellenbosch University, 2015-03)
    ENGLISH ABSTRACT : When trespassers target businesses and homes, outdoor spaces are typically the first point of illegal entry. Camera systems can help secure these environments, but typically many cameras are needed to ...

  • Hydrodynamic permeability of staggered and non-staggered regular arrays of squares 

    Lloyd, Cindy (Stellenbosch : Stellenbosch University, 2003-12)
    ENGLISH ABSTRACT: This work entails an analysis of two-dimensional Newtonian flow through a prismatic array of squares. Both in-line and staggered configurations are investigated, as well as the very low velocity Darcy ...

  • Pore-scale modelling of transport phenomena in homogeneous porous media 

    Diedericks, Gerhardus Petrus Jacobus (Stellenbosch : Stellenbosch University, 1999-12)
    ENGLISH ABSTRACT: The main purpose of this study is to develop deterministic, process-based models of incompressible Newtonian flow and electrical c01iduction in homogeneous, anisotropic porous media. The foundation of ...

  • A conceptual framework for the development of intelligent, learning style- and computer-based educational software for topics from operations research 

    Du Plessis, S. A. (Sameul Altenstadt) (Stellenbosch : Stellenbosch University, 1999-11)
    ENGLISH ABSTRACT: The purpose of this study was to construct a conceptual framework for the development of intelligent, learning style- and computer-based educational software and to apply it to linear programming (LP). ...

  • A bio-economic application to the Cape Rock Lobster resource using a delay difference modelling approach 

    Roos, E. (Operations Research Society of South Africa, 2004)
    In many species, like the Cape Rock Lobster (Jasus lalandii), the life cycles of males and females differ. This may motivate the use of two-sex models in a stock-assessment analysis. It is also true for this resource, ...

  • Operations research and development 

    Fourie, P. (Operations Research Society of South Africa, 2007)
    The paper begins with a discussion of the concepts “operations research” and “development.” An overview is next given of the RDP (Reconstruction and Development Programme), which still embodies the vision of development ...

  • On the(d)–chromatic number of a complete balanced multipartite graph 

    Burger, A. P.; Nieuwoudt, I.; Van Vuuren, J. H. (Operations Research Society of South Africa, 2007)
    In this paper we solve (approximately) the problem of finding the minimum number of colours with which the vertices of a complete, balanced, multipartite graph G may be coloured such that the maximum degrees of all colour ...

  • Pore-scale modelling for fluid transport in 2D porous media 

    Cloete, Maret (Stellenbosch : University of Stellenbosch, 2006-12)
    In the present study, a model to predict the hydrodynamic permeability of viscous flow through an array of solid phase rectangles of any aspect ratio is derived. This also involves different channel widths in the streamwise ...

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