Electronic Theses and Dissertations

# Path Curvature on a Convex Roof

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dc.contributor.authorFord, Roberten_US
dc.date.accessioned2008-09-09T21:14:06Z
dc.date.available2008-09-09T21:14:06Z
dc.date.issued2007-12-15en_US
dc.identifier.urihttp://hdl.handle.net/10415/110
dc.description.abstractGiven a set of rectangles, R1 through Rk, where Ri and Ri+1 share a common edge and these common edges are congruent and parallel to each other. The resulting ”roof” is part of the surface of a convex body. We’ll consider paths from one corner of this “roof” to the opposite corner. Extending the common edges to lines we’ll call ridges and rectangles to planar strips, we can allow such paths to go “off the roof”. Path curvature is computed for a polygonal path by simple adding up the curvatures of each intermediate vertex. More general paths use a sequence of polygonal approximations to compute curvature. We’ll discern when the path of least curvature goes off the roof or when it is the shortest path.en_US
dc.language.isoen_USen_US
dc.subjectMathematics and Statisticsen_US
dc.titlePath Curvature on a Convex Roofen_US
dc.typeDissertationen_US
dc.embargo.lengthNO_RESTRICTIONen_US
dc.embargo.statusNOT_EMBARGOEDen_US