| Summary: | 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
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