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Estimation of distance functions and geodesics and its use for shape comparison and alignment: Theoretical and computational results

Posted on:2006-11-09Degree:Ph.DType:Dissertation
University:University of MinnesotaCandidate:Memoli Techera, Roberto FacundoFull Text:PDF
GTID:1458390005993053Subject:Engineering
Abstract/Summary:
In this work we have tried to solve several problems from Shape Theory. We have dealt with the estimation of certain intrinsic quantities defined on submanifolds of Euclidean space, as well as with the use of this information to perform shape comparison and alignment. We have also approached the problem of surface warping and smoothing of information defined on implicit surfaces. Examples are shown and future lines of research are suggested to both improving the performance and extending reach of the techniques here introduced.
Keywords/Search Tags:Shape
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