@inproceedings{16a3b0ca035f4b3f8314f038f4fc63de,
title = "Higher degree total variation for 3-D image recovery",
abstract = "We extend the novel higher degree total variation (HDTV) image regularization penalties to 3-D signals. These penalties generalize the popular total variation (TV) penalty to incorporate higher degree image derivatives. We adapt a fast alternating minimization algorithm designed for solving 2-D image recovery problems with HDTV regularization to the 3D setting. Numerical experiments on the compressed sensing recovery of 3-D magnetic resonance images show that HDTV and generalized HDTV improve the image quality significantly compared with TV. We also investigate the relationship between the recently introduced Hessian Schatten-norms and HDTV.",
keywords = "3-D image restoration, Compressed sensing, Higher degree total variation",
author = "Greg Ongie and Yue Hu and Mathews Jacob",
note = "Publisher Copyright: {\textcopyright} 2014 IEEE.; 11th IEEE International Symposium on Biomedical Imaging, ISBI 2014 ; Conference date: 29-04-2014 Through 02-05-2014",
year = "2014",
month = jul,
day = "29",
doi = "10.1109/isbi.2014.6868042",
language = "英语",
series = "2014 IEEE 11th International Symposium on Biomedical Imaging, ISBI 2014",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "1003--1006",
booktitle = "2014 IEEE 11th International Symposium on Biomedical Imaging, ISBI 2014",
address = "美国",
}