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Preprint 20-2014

Image interpolation using Shearlet based iterative refinement

Source file is available as :   Portable Document Format (PDF)

Author(s) : Haricharan Lakshman , Wang-Q Lim , Heiko Schwarz , Detlev Marpe , Gitta Kutyniok , Thomas Wiegand

Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 20-2014

MSC 2000

65T60 Wavelets
41A05 Interpolation

Abstract :
This paper proposes an image interpolation algorithm exploiting sparse representation for natural images. It involves three main steps: (a) obtaining an initial estimate of the high resolution image using linear methods like FIR filtering, (b) promoting sparsity in a selected dictionary through iterative thresholding, and (c) extracting high frequency information from the approximation to refine the initial estimate. For the sparse modeling, a shearlet dictionary is chosen to yield a multiscale directional representation. The proposed algorithm is compared to several state-of-the-art methods to assess its objective as well as subjective performance. Compared to the cubic spline interpolation method, an average PSNR gain of around 0.8 dB is observed over a dataset of 200 images.

Keywords : Interpolation, Sparse representation, Shearlets

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