Bounded Approximations of Geodesics for Triangular Manifolds with Partially Missing Data

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TypeTechnical Report
AbstractIn this paper we present an algorithm to compute approximate geodesic distances on a triangular manifold S containing n vertices with partially missing data. The proposed method computes an approximation of the geodesic distance between two vertices pi and pj on S and provides a maximum relative error bound of the approximation. The error bound is shown to be worst-case optimal. The algorithm approximates the geodesic distance without trying to reconstruct the missing data by embedding the surface in a low dimensional space via multi-dimensional scaling (MDS). We derive a new method to add an object to the embedding computed via least-squares MDS.
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AffiliationNRC Institute for Information Technology; National Research Council Canada
Peer reviewedNo
NRC number49316
NPARC number8913812
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Record identifierb58d8ca8-1774-4ca6-959a-6a69bf0ca616
Record created2009-04-22
Record modified2016-10-03
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