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Constructing Cubic Splines on the Sphere


Metadata FieldValueLanguage
dc.contributor.advisorMeir, Amnon J.
dc.contributor.authorHassan, Mosavverul
dc.date.accessioned2009-07-15T19:11:08Z
dc.date.available2009-07-15T19:11:08Z
dc.date.issued2009-07-15T19:11:08Z
dc.identifier.urihttp://hdl.handle.net/10415/1790
dc.description.abstractA method to approximate functions defined on a sphere using Tensor Product cubic B-splines is presented here. The method is based on decomposing the sphere into six identical patches obtained by radially projecting the six faces of a circumscribed cube onto the spherical surface. The theory of univariate splines has been generalized in different forms to functions of several variables. Among these extensions the tensor product splines are the easiest to handle. Although the tensor product splines are restricted to rectangular domains rendering their applicability limited they are extremely efficient compared to other surface approximation techniques which are far more complicated and hence computationally less attractive.en
dc.rightsEMBARGO_NOT_AUBURNen
dc.subjectMathematics and Statisticsen
dc.titleConstructing Cubic Splines on the Sphereen
dc.typethesisen
dc.embargo.lengthMONTHS_WITHHELD:6en_US
dc.embargo.statusEMBARGOEDen_US
dc.embargo.enddate2010-01-15en_US

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