Image reconstruction from incomplete convolution data via total variation regularization
| العنوان: | Image reconstruction from incomplete convolution data via total variation regularization |
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| المؤلفون: | Zhida Shen, Junfeng Yang, Zhe Geng |
| المصدر: | Statistics, Optimization and Information Computing, Vol 3, Iss 1, Pp 1-14 (2015) |
| بيانات النشر: | International Academic Press, 2015. |
| سنة النشر: | 2015 |
| مصطلحات موضوعية: | Universal joint, Statistics and Probability, Mathematical optimization, Control and Optimization, ComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISION, Iterative reconstruction, Total variation denoising, Regularization (mathematics), law.invention, Compressed sensing, law, Artificial Intelligence, Signal Processing, Curve fitting, Computer Vision and Pattern Recognition, Twist, Zoom, lcsh:Probabilities. Mathematical statistics, Statistics, Probability and Uncertainty, lcsh:QA273-280, Algorithm, Mathematics, Information Systems |
| الوصف: | Variational models with Total Variation (TV) regularization have long been known to preserve image edges and produce high quality reconstruction. On the other hand, recent theory on compressive sensing has shown that it is feasible to accurately reconstruct images from a few linear measurements via TV regularization. However, in general TV models are difficult to solve due to the nondifferentiability and the universal coupling of variables. In this paper, we propose the use of alternating direction method for image reconstruction from highly incomplete convolution data, where an image is reconstructed as a minimizer of an energy function that sums a TV term for image regularity and a least squares term for data fitting. Our algorithm, called RecPK, takes advantage of problem structures and has an extremely low per-iteration cost. To demonstrate the efficiency of RecPK, we compare it with TwIST, a state-of-the-art algorithm for minimizing TV models. Moreover, we also demonstrate the usefulness of RecPK in image zooming. |
| تدمد: | 2310-5070 2311-004X |
| DOI: | 10.19139/121 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1c529ef57e8b4ea0f25fe0a40f2b46f0 https://doi.org/10.19139/121 |
| Rights: | OPEN |
| رقم الانضمام: | edsair.doi.dedup.....1c529ef57e8b4ea0f25fe0a40f2b46f0 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 23105070 2311004X |
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| DOI: | 10.19139/121 |