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research article

Multiwavelet-Like Bases for High Quality Image Interpolation

(K. Ichige), 市毛弘一
•
Blu, T.  
•
Unser, M.  
2003
Proceedings of the SPIE Conference on Mathematical Imaging: Wavelet Applications in Signal and Image Processing X

We present a simple but generalized interpolation method for digital images that uses multiwavelet-like basis functions. Most of interpolation methods uses only one symmetric basis function; for example, standard and shifted piecewise-linear interpolations use the “hat” function only. The proposed method uses q different multiwavelet-like basis functions. The basis functions can be dissymmetric but should preserve the “partition of unity” property for high-quality signal interpolation. The scheme of decomposition and reconstruction of signals by the proposed basis functions can be implemented in a filterbank form using separable IIR implementation. An important property of the proposed scheme is that the prefilters for decomposition can be implemented by FIR filters. Recall that the shifted-linear interpolation requires IIR prefiltering, but we find a new configuration which reaches almost the same quality with the shifted-linear interpolation, while requiring FIR prefiltering only. Moreover, the present basis functions can be explicitly formulated in time-domain, although most of (multi-)wavelets don't have a time-domain formula. We specify an optimum configuration of interpolation parameters for image interpolation, and validate the proposed method by computing PSNR of the difference between multi-rotated images and their original version.

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Type
research article
DOI
10.1117/12.505532
Author(s)
(K. Ichige), 市毛弘一
Blu, T.  
Unser, M.  
Date Issued

2003

Publisher

SPIE

Published in
Proceedings of the SPIE Conference on Mathematical Imaging: Wavelet Applications in Signal and Image Processing X
Issue

San Diego CA, USA

Start page

153

End page

161

URL

URL

http://bigwww.epfl.ch/publications/ichige0302.html

URL

http://bigwww.epfl.ch/publications/ichige0302.pdf

URL

http://bigwww.epfl.ch/publications/ichige0302.ps
Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
LIB  
Available on Infoscience
September 18, 2015
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/118031
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