2026-09-24T21:23:34.157733793Zhttps://repository.nwu.ac.za/server/oai/requestoai:repository.nwu.ac.za:10394/122662020-11-19T09:25:52Zcom_10394_26463col_10394_26478
Gertenbach, J.D.
Uys, P.E.
23308052 - Gertenbach, Jan Diedeleff (Supervisor)
Van der Walt, Anetta
2014-11-10T09:02:40Z
2014-11-10T09:02:40Z
2014
http://hdl.handle.net/10394/12266
MSc (Applied Mathematics), North-West University, Potchefstroom Campus, 2014
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.
Masters
en
Bloodstain analysis
Fluid mechanics
Multi-target tracking
Linear programming
Dynamic programming
K-shortest path algorithms
Mathematical modelling of blood spatter with optimization and other numerical methods
Thesis
open.access