Random Distances Associated with Arbitrary Triangles: A Recursive Approach with an Arbitrary Reference Point

dc.contributor.authorAhmadi, Maryam
dc.contributor.authorPan, Jianping
dc.date.accessioned2014-01-06T21:00:26Z
dc.date.available2014-01-06T21:00:26Z
dc.date.copyright2013en_US
dc.date.issued2014-01-06
dc.description.abstractIn this work, we propose a decomposition and recursion approach in order to obtain the distance distributions associated with arbitrary triangles. The focus of this work is to derive the distance dis- tributions from an arbitrary reference point to a random point within the triangle, where the reference point can be inside or outside of the triangle. Our approach is based on the distance distributions from a vertex of an arbitrary triangle to a random point inside. By decomposing the original triangle, using the probabilistic sum, and using the distance distributions from the vertex of the decomposed triangles, we obtain the desired distance distributions. We compare our analytical results with those of simulation, where a close match can be seen between them. Since any polygon can be decomposed into triangles, this approach also applies to the random distances from an arbitrary reference point to an arbitrary polygon, regardless convex or concave.en_US
dc.description.reviewstatusUnrevieweden_US
dc.description.scholarlevelFacultyen_US
dc.identifier.urihttp://hdl.handle.net/1828/5134
dc.language.isoenen_US
dc.relation.ispartofseriesUVic-PanLab-TR-14-01en_US
dc.subjectRandom distances with a reference pointen_US
dc.subjectDistance distribution functionsen_US
dc.subjectArbitrary trianglesen_US
dc.subjectArbitrary polygonsen_US
dc.titleRandom Distances Associated with Arbitrary Triangles: A Recursive Approach with an Arbitrary Reference Pointen_US
dc.typeTechnical Reporten_US

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