Exemplar-Based Interpolation of Sparsely Sampled Images

Abstract

A nonlocal variational formulation for interpolating a sparsely sampled image is introduced in this paper. The proposed variational formulation, originally motivated by image inpainting problems, encourages the transfer of information between similar image patches, following the paradigm of exemplar-based methods. Contrary to the classical inpainting problem, no complete patches are available from the sparse image samples, and the patch similarity criterion has to be redefined as here proposed. Initial experimental results with the proposed framework, at very low sampling densities, are very encouraging. We also explore some departures from the variational setting, showing a remarkable

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 2009
Accession Number
ADA513256

Entities

People

  • Gabriele Facciolo
  • Guillermo Sapiro
  • Pablo Arias
  • Vicent Caselles

Organizations

  • University of Minnesota

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Compressed Sensing
  • Computational Science
  • Computations
  • Dictionaries
  • Equations
  • Euler Equations
  • Information Science
  • Interpolation
  • Inverse Problems
  • Iterations
  • Low Resolution
  • Mathematics
  • Probability
  • Sampling
  • Statistical Samples
  • Statistical Sampling

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Image Processing and Computer Vision.
  • Neural Network Machine Learning.