Open AccessBook
Image reconstruction from projections : the fundamentals of computerized tomography
TLDR
The fundamentals of computerized tomography computer ebook, image reconstruction from projections, and the fundamentals ofComputerized Tomography computer epub are revealed.About:
The article was published on 1980-01-01 and is currently open access. It has received 2025 citations till now. The article focuses on the topics: Iterative reconstruction & Tomography.read more
Citations
More filters
Journal ArticleDOI
Signal recovery by proximal forward-backward splitting ∗
TL;DR: It is shown that various inverse problems in signal recovery can be formulated as the generic problem of minimizing the sum of two convex functions with certain regularity properties, which makes it possible to derive existence, uniqueness, characterization, and stability results in a unified and standardized fashion for a large class of apparently disparate problems.
Posted Content
Proximal Splitting Methods in Signal Processing
Abstract: The proximity operator of a convex function is a natural extension of the notion of a projection operator onto a convex set. This tool, which plays a central role in the analysis and the numerical solution of convex optimization problems, has recently been introduced in the arena of signal processing, where it has become increasingly important. In this paper, we review the basic properties of proximity operators which are relevant to signal processing and present optimization methods based on these operators. These proximal splitting methods are shown to capture and extend several well-known algorithms in a unifying framework. Applications of proximal methods in signal recovery and synthesis are discussed.
Book ChapterDOI
Proximal Splitting Methods in Signal Processing
TL;DR: The basic properties of proximity operators which are relevant to signal processing and optimization methods based on these operators are reviewed and proximal splitting methods are shown to capture and extend several well-known algorithms in a unifying framework.
Journal ArticleDOI
Robust Optimization of Large-Scale Systems
TL;DR: This paper characterize the desirable properties of a solution to models, when the problem data are described by a set of scenarios for their value, instead of using point estimates, and develops a general model formulation, called robust optimization RO, that explicitly incorporates the conflicting objectives of solution and model robustness.
Journal ArticleDOI
Simultaneous algebraic reconstruction technique (SART): a superior implementation of the art algorithm.
TL;DR: This implementation of the Algebraic Reconstruction Technique appears to have a computational advantage over the more traditional implementation of ART and potential applications include image reconstruction in conjunction with ray tracing for ultrasound and microwave tomography.