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Mathematical modelling of blood spatter with optimization and other numerical methods / Anetta van der Walt

The current methods used by forensic experts to analyse blood spatter neglects
the influence of gravitation and drag on the trajectory of the droplet.
This research attempts to suggest a more accurate method to determine the
trajectory of a blood droplet using multi-target tracking. The multi-target
tracking problem can be rewritten as a linear programming problem and
solved by means of optimization and numerical methods.
A literature survey is presented on relevant articles on blood spatter analysis
and multi-target tracking. In contrast to a more advanced approach that
assumes a background in probability, mathematical modelling and forensic
science, this dissertation aims to give a comprehensive mathematical exposition
of particle tracking. The tracking of multi-targets, through multi-target
tracking, is investigated. The dynamic programming methods to solve the
multi-target tracking are coded in the MATLAB programming language.
Results are obtained for different scenarios and option inputs. Research
strategies include studying documents, articles, journal entries and books. / MSc (Applied Mathematics), North-West University, Potchefstroom Campus, 2014

Identiferoai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:nwu/oai:dspace.nwu.ac.za:10394/12266
Date January 2014
CreatorsVan der Walt, Anetta
Source SetsSouth African National ETD Portal
LanguageEnglish
Detected LanguageEnglish
TypeThesis

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