A Shrinkage Learning Approach for Single Image Super-Resolution with Overcomplete Representations. Adler, A., Hel-Or, Y., & Elad, M. In Daniilidis, K., Maragos, P., & Paragios, N., editors, Computer Vision – ECCV 2010, of Lecture Notes in Computer Science, pages 622–635, Berlin, Heidelberg, 2010. Springer. TLDR: A novel approach for online shrinkage functions learning in single image super-resolution that leverages the classical Wavelet Shrinkage denoising technique and demonstrates superior performance compared to state-of-the-art results.
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We present a novel approach for online shrinkage functions learning in single image super-resolution. The proposed approach leverages the classical Wavelet Shrinkage denoising technique where a set of scalar shrinkage functions is applied to the wavelet coefficients of a noisy image. In the proposed approach, a unique set of learned shrinkage functions is applied to the overcomplete representation coefficients of the interpolated input image. The super-resolution image is reconstructed from the post-shrinkage coefficients. During the learning stage, the low-resolution input image is treated as a reference high-resolution image and a super-resolution reconstruction process is applied to a scaled-down version of it. The shapes of all shrinkage functions are jointly learned by solving a Least Squares optimization problem that minimizes the sum of squared errors between the reference image and its super-resolution approximation. Computer simulations demonstrate superior performance compared to state-of-the-art results.
@inproceedings{adler_shrinkage_2010,
	address = {Berlin, Heidelberg},
	series = {Lecture {Notes} in {Computer} {Science}},
	title = {A {Shrinkage} {Learning} {Approach} for {Single} {Image} {Super}-{Resolution} with {Overcomplete} {Representations}},
	isbn = {978-3-642-15552-9},
	doi = {10.1007/978-3-642-15552-9_45},
	abstract = {We present a novel approach for online shrinkage functions learning in single image super-resolution. The proposed approach leverages the classical Wavelet Shrinkage denoising technique where a set of scalar shrinkage functions is applied to the wavelet coefficients of a noisy image. In the proposed approach, a unique set of learned shrinkage functions is applied to the overcomplete representation coefficients of the interpolated input image. The super-resolution image is reconstructed from the post-shrinkage coefficients. During the learning stage, the low-resolution input image is treated as a reference high-resolution image and a super-resolution reconstruction process is applied to a scaled-down version of it. The shapes of all shrinkage functions are jointly learned by solving a Least Squares optimization problem that minimizes the sum of squared errors between the reference image and its super-resolution approximation. Computer simulations demonstrate superior performance compared to state-of-the-art results.},
	language = {en},
	booktitle = {Computer {Vision} – {ECCV} 2010},
	publisher = {Springer},
	author = {Adler, Amir and Hel-Or, Yacov and Elad, Michael},
	editor = {Daniilidis, Kostas and Maragos, Petros and Paragios, Nikos},
	year = {2010},
	note = {TLDR: A novel approach for online shrinkage functions learning in single image super-resolution that leverages the classical Wavelet Shrinkage denoising technique and demonstrates superior performance compared to state-of-the-art results.},
	keywords = {\#Analysis, \#ECCV{\textgreater}10, \#Representation{\textgreater}SR, \#Vision, /unread, Image Degradation Model, Noisy Image, Overcomplete Representation, Shrinkage Function, Sparse Representation, ⭐⭐⭐⭐},
	pages = {622--635},
}

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