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Journal Article
Computer Aided Geometric Design, ISSN 0167-8396, 03/2017, Volume 52-53, pp. 135 - 153
Implicit representations have been widely used for surface reconstruction on account of their capability to describe shapes that exhibit complicated geometry... 
Total variation | Surface reconstruction | Level set | Spurious sheets | Implicit representation | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | ALGORITHM | SPLINES | TOTAL VARIATION MINIMIZATION | Algorithms
Journal Article
Medical Physics, ISSN 0094-2405, 12/2018, Volume 45, Issue 12, pp. 5397 - 5410
Purpose Total variation (TV) regularization is efficient in suppressing noise, but is known to suffer from staircase artifacts. The goal of this work was to... 
staircase artifact | fixed‐point proximity methods | noise suppression | penalized maximum likelihood optimization total variation regularization | infimal convolution | SPECT reconstruction | fixed-point proximity methods | HUMAN-OBSERVER | PERFORMANCE | NOISE | SCATTER | RADIOLOGY, NUCLEAR MEDICINE & MEDICAL IMAGING
Journal Article
by Qi Liu and Xinbo Gao and Lihuo He and Wen Lu
IEEE Transactions on Image Processing, ISSN 1057-7149, 10/2018, Volume 27, Issue 10, pp. 5178 - 5191
Journal Article
IEEE Transactions on Automatic Control, ISSN 0018-9286, 07/2018, Volume 63, Issue 7, pp. 2046 - 2060
Journal Article
Journal of Magnetic Resonance, ISSN 1090-7807, 03/2019, Volume 300, pp. 28 - 40
Journal Article
SIAM Journal on Optimization, ISSN 1052-6234, 2019, Volume 29, Issue 2, pp. 1260 - 1281
We establish a general principle which states that regularizing an inverse problem with a convex function yields solutions that are convex combinations of a... 
Convex regularization | Total variation | Representer theorem | Inverse problems | Vector space | MATHEMATICS, APPLIED | representer theorem | inverse problems | convex regularization | vector space | total variation | INVERSE | GEOMETRY | Mathematics | Information Theory | Optimization and Control
Journal Article
by Deng, XJ and Zhao, YS and Li, H
JOURNAL OF X-RAY SCIENCE AND TECHNOLOGY, ISSN 0895-3996, 2019, Volume 27, Issue 3, pp. 537 - 557
Reducing radiation dose while maintaining the quality of the reconstructed images is a major challenge in the computed tomography (CT) community. In light of... 
PHYSICS, APPLIED | ART | IMAGE-RECONSTRUCTION | SINOGRAM RESTORATION | ROF | MODEL | non-stationary gaussian noise | Denoising | low-dose ct | INSTRUMENTS & INSTRUMENTATION | REDUCTION | DUAL METHODS | X-RAY CT | ARTIFACTS | OPTICS | weighted total variation
Journal Article
Journal of Econometrics, ISSN 0304-4076, 06/2012, Volume 168, Issue 2, pp. 285 - 299
In production theory and efficiency analysis, we estimate the production frontier, the locus of the maximal attainable level of an output (the production),... 
Free Disposal Hull | Robust estimation | Production function | Nonparametric frontier | Extreme value index | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | SOCIAL SCIENCES, MATHEMATICAL METHODS | ECONOMICS | EFFICIENCY | Weibull distribution | Robustness
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 10/2017, Volume 454, Issue 2, pp. 891 - 935
In this paper we study the structure of solutions of the one dimensional weighted total variation regularisation problem, motivated by its application in... 
Structure of solutions | Regularisation | Total variation minimisation | Weighted total variation | Denoising | MATHEMATICS | MATHEMATICS, APPLIED | SET | IMAGE-RESTORATION | BV | TOTAL GENERALIZED VARIATION | EXAMPLES
Journal Article
Inverse Problems, ISSN 0266-5611, 04/2018, Volume 34, Issue 6, p. 64002
In this work, we introduce a function space setting for a wide class of structural/weighted total variation (TV) regularization methods motivated by their... 
Kullback Leibler divergence | linear inverse problems | structural prior regularization | functions of a measure | total variation | positron emission tomography | convex duality | MATHEMATICS, APPLIED | PHYSICS, MATHEMATICAL | DENSITY | CT RECONSTRUCTION | MINIMIZATION | SETS | CONVERGENCE | Mathematics - Optimization and Control
Journal Article
Journal of Mathematical Imaging and Vision, ISSN 0924-9907, 1/2017, Volume 57, Issue 1, pp. 1 - 25
Journal Article
IEEE Transactions on Geoscience and Remote Sensing, ISSN 0196-2892, 05/2015, Volume 53, Issue 5, pp. 2765 - 2774
Journal Article
Journal of Mathematical Imaging and Vision, ISSN 0924-9907, 06/2010, Volume 37, Issue 2, pp. 98 - 111
Journal Article
Optics Communications, ISSN 0030-4018, 06/2017, Volume 392, pp. 25 - 30
We demonstrate a depth and reflectivity imaging system at low light level based on sparsity regularization method. Depth and reflectivity imaging from the... 
Photon-limited imaging | Total variation | 3D imaging lidar | Sparsity regularization | REMOVAL | SENSOR | NOISE | OPTICS | RANGE | Equipment and supplies | Space surveillance | Image processing | Imaging systems | Remote sensing | Optical radar
Journal Article