Accession Number : ADA478742


Title :   On Geometric Variational Models for Inpainting Surface Holes (PREPRINT)


Corporate Author : MINNESOTA UNIV MINNEAPOLIS INST FOR MATHEMATICS AND ITS APPLICATIONS


Personal Author(s) : Caselles, Vicent ; Haro, Gloria ; Sapiro, Guillermo ; Verdera, Joan


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/a478742.pdf


Report Date : Jan 2006


Pagination or Media Count : 46


Abstract : Geometric approaches for filling-in surface holes are introduced and studied in this paper. The basic idea is to represent the surface of interest in implicit form, and fill-in the holes with a scalar, or systems of, geometric partial differential equations often derived from optimization principles. These equations include a system for the joint interpolation of scalar and vector fields, a Laplacian-based minimization, a mean curvature diffusion flow, and an absolutely minimizing Lipschitz extension. The theoretical and computational framework, as well as examples with synthetic and real data, are presented in this paper.


Descriptors :   *IMAGE PROCESSING , *PARTIAL DIFFERENTIAL EQUATIONS , SURFACES , CURVATURE , STEEPEST DESCENT METHOD , TOPOLOGY , HOLES(OPENINGS) , INTERPOLATION


Subject Categories : Numerical Mathematics
      Theoretical Mathematics
      Cybernetics


Distribution Statement : APPROVED FOR PUBLIC RELEASE