{"id":{"repo_id":"nwu-za","oai_identifier":"oai:repository.nwu.ac.za:10394/12266"},"canonical_url":"https://search.dev.ndltd.org/etd/nwu-za/oai:repository.nwu.ac.za:10394/12266","repository":{"repo_id":"nwu-za","name":"North-West University (South Africa)","base_url":"https://repository.nwu.ac.za/server/oai/request"},"display":{"title":"Mathematical modelling of blood spatter with optimization and other numerical methods","abstract":"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.","abstract_html":"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.","abstract_has_math":false,"creators":["Van der Walt, Anetta"],"institution":null,"degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":["Gertenbach, J.D.","Uys, P.E.","23308052 - Gertenbach, Jan Diedeleff (Supervisor)"],"committee_chairs":[],"committee_members":[],"year":2014,"date_issued":"2014","date_published":"2014","updated_at":"2026-07-24T03:33:37Z","subjects":["Bloodstain analysis","Fluid mechanics","Multi-target tracking","Linear programming","Dynamic programming","K-shortest path algorithms"],"languages":["en"],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/10394/12266","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Gertenbach, J.D.","Uys, P.E.","23308052 - Gertenbach, Jan Diedeleff (Supervisor)"]},{"key":"dc:creator","label":"Author","values":["Van der Walt, Anetta"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2014-11-10T09:02:40Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2014-11-10T09:02:40Z"]},{"key":"dc:date.issued","label":"Date","values":["2014"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Bloodstain analysis","Fluid mechanics","Multi-target tracking","Linear programming","Dynamic programming","K-shortest path algorithms"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["en"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/10394/12266"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["MSc (Applied Mathematics), North-West University, Potchefstroom Campus, 2014"]},{"key":"dc:description.abstract","label":"Abstract","values":["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."]},{"key":"dc:title","label":"Title","values":["Mathematical modelling of blood spatter with optimization and other numerical methods"]}]}],"canonical_facts":{"dc:contributor.advisor":["Gertenbach, J.D.","Uys, P.E.","23308052 - Gertenbach, Jan Diedeleff (Supervisor)"],"dc:creator":["Van der Walt, Anetta"],"dc:date.accessioned":["2014-11-10T09:02:40Z"],"dc:date.available":["2014-11-10T09:02:40Z"],"dc:date.issued":["2014"],"dc:description":["MSc (Applied Mathematics), North-West University, Potchefstroom Campus, 2014"],"dc:description.abstract":["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."],"dc:identifier.uri":["http://hdl.handle.net/10394/12266"],"dc:language.iso":["en"],"dc:subject":["Bloodstain analysis","Fluid mechanics","Multi-target tracking","Linear programming","Dynamic programming","K-shortest path algorithms"],"dc:title":["Mathematical modelling of blood spatter with optimization and other numerical methods"],"dc:type":["Thesis"]},"updated_at":"2026-07-24T03:33:37Z"}