Axiomatic scalar data interpolation on manifolds

dc.creatorSander, O
dc.creatorCaselles, Vicent
dc.creatorBertalmío, Marcelo
dc.date.accessioned2019-07-03T16:36:14Z
dc.date.accessioned2022-10-28T19:53:45Z
dc.date.available2019-07-03T16:36:14Z
dc.date.available2022-10-28T19:53:45Z
dc.date.created2019-07-03T16:36:14Z
dc.date.issued2003
dc.identifierSander, O., Caselles, Vicent, Bertalmío, M. Axiomatic scalar data interpolation on manifolds. International Conference on Image Processing, Barcelona, Spain, 2003.
dc.identifierhttps://hdl.handle.net/20.500.12008/21258
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/4975468
dc.description.abstractWe discuss possible algorithms for interpolating data given in a set of curves and/or points in a surface in /spl Ropf//sup 3/. We propose a set of basic assumptions to be satisfied by the interpolation algorithms which lead to a set of models in terms of possibly degenerate elliptic partial differential equations. The absolute minimal Lipschitz extension model (AMLE) is singled out and studied in more detail. We show experiments illustrating the interpolation of data on the sphere and the torus.
dc.publisherIEEE
dc.rightsLas obras depositadas en el Repositorio se rigen por la Ordenanza de los Derechos de la Propiedad Intelectual de la Universidad De La República. (Res. Nº 91 de C.D.C. de 8/III/1994 – D.O. 7/IV/1994) y por la Ordenanza del Repositorio Abierto de la Universidad de la República (Res. Nº 16 de C.D.C. de 07/10/2014)
dc.subjectInterpolation algorithms
dc.subjectSet theory
dc.subjectPartial differential equations
dc.subjectImage processing
dc.titleAxiomatic scalar data interpolation on manifolds
dc.typeArtículo


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