Book chapter
Variational Reconstruction with DC-Programming
Applied and Numerical Harmonic Analysis, Birkhauser Boston
01 Jan 2007
Abstract
We present an approach to binary tomography by variational reconstruction and difference-of-convex-functions (DC) programming. Because we use a standard functional comprising a reconstruction error and a smoothness prior, the integer conditions are relaxed to convex box constraints. Complementing the functional with a concave penalty term allows a gradual enforcement of binary solutions. A DC-programming approach leads to an iterative reconstruction algorithm that is also applicable to large-scale problems. We show that hidden parameters, which model uncertainties of the imaging process, can be estimated as part of the variational reconstruction. Besides presenting a concise overview over recent results, we also include novel results concerning the optimization performance of our approach.
Metrics
12 Record Views
Details
- Title
- Variational Reconstruction with DC-Programming
- Creators
- C. Schnoerr - Univ Mannheim, Dept M&CS, CVGPR Grp, D-68131 Mannheim, GermanyT. Schuele - Univ Mannheim, Dept M&CS, CVGPR Grp, D-68131 Mannheim, GermanyS. Weber - Univ Mannheim, Dept M&CS, CVGPR Grp, D-68131 Mannheim, Germany
- Contributors
- G T Herman (Editor)A Kuba (Editor)
- Series
- Applied and Numerical Harmonic Analysis
- Publisher
- Birkhauser Boston; CAMBRIDGE
- Number of pages
- 17
- Resource Type
- Book chapter
- Language
- English
- Academic Unit
- Electrical and Computer Engineering
- Identifiers
- 991019203343404721
UN Sustainable Development Goals (SDGs)
This output has contributed to the advancement of the following goals:
Source: InCites
InCites Highlights
These are selected metrics from InCites Benchmarking & Analytics tool, related to this output
- Web of Science research areas
- Computer Science, Interdisciplinary Applications
- Imaging Science & Photographic Technology
- Mathematics, Applied