@inproceedings{779f83e7d6c34243a59ddf64eb9e07e4,
title = "Image denoising using a tight frame",
abstract = "We present a general mathematical theory for lifting frames that allows us to modify existing filters to construct new ones that form Parseval frames. We apply our theory to design non-separable Parseval frames from separable (tensor) products of a piecewise linear spline tight frame. These new frame systems incorporate the weighted average operator and the Sobel operator in directions that are integer multiples of 45°. A new image denoising algorithm is then proposed tailored to the specific properties of these new frame filters. We demonstrate the performance of our algorithm on a diverse set of images with very encouraging results.",
author = "L. Shen and M. Papadakis and Kakadiaris, {I. A.} and I. Konstantinidis and D. Kouri and D. Hoffman",
year = "2005",
doi = "10.1109/ICASSP.2005.1415486",
language = "English (US)",
isbn = "0780388747",
series = "ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings",
pages = "II641--II644",
booktitle = "2005 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP '05 - Proceedings - Image and Multidimensional Signal Processing Multimedia Signal Processing",
note = "2005 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP '05 ; Conference date: 18-03-2005 Through 23-03-2005",
}