Mumford-Shah-TV functional with application in X-ray interior tomography
From MaRDI portal
Publication:1673822
DOI10.3934/ipi.2018015zbMath1395.92092OpenAlexW2788116491MaRDI QIDQ1673822
Ming Jiang, Yining Zhu, Jian Sheng Yang, Zhen-Hua Zhao
Publication date: 14 September 2018
Published in: Inverse Problems and Imaging (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/ipi.2018015
Applications of statistics to biology and medical sciences; meta analysis (62P10) Biomedical imaging and signal processing (92C55) Radon transform (44A12)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonlinear total variation based noise removal algorithms
- Iterative thresholding meets free-discontinuity problems
- A Mumford-Shah level-set approach for the inversion and segmentation of X-ray tomography data
- Variational problems in SBV and image segmentation
- Incomplete data problems in X-ray computerized tomography. II: Truncated projections and region-of-interest tomography
- The divergent beam x-ray transform
- Introductory lectures on convex optimization. A basic course.
- Quasistatic crack growth in nonlinear elasticity
- Existence theorem for a minimum problem with free discontinuity set
- The Mathematics of Computerized Tomography
- Regularization Properties of Mumford--Shah-Type Functionals with Perimeter and Norm Constraints for Linear Ill-Posed Problems
- Optimal approximations by piecewise smooth functions and associated variational problems
- A Mumford–Shah-Like Method for Limited Data Tomography with an Application to Electron Tomography
- Singularities of the X-Ray Transform and Limited Data Tomography in $\mathbb{R}^2 $ and $\mathbb{R}^3 $
- The Split Bregman Method for L1-Regularized Problems
- Approximation of functional depending on jumps by elliptic functional via t-convergence
- An algorithmic framework for Mumford–Shah regularization of inverse problems in imaging
- Convergence of the simultaneous algebraic reconstruction technique (SART)
- Solving the interior problem of computed tomography usinga prioriknowledge
- High-order total variation minimization for interior tomography
- Local Tomography
- The Interior Radon Transform
- Enhanced Electrical Impedance Tomographyviathe Mumford–Shah Functional
- Active contours without edges
- Digital inpainting based on the Mumford–Shah–Euler image model
- Image Segmentation by Variational Methods: Mumford and Shah Functional and the Discrete Approximations
- Regularizing properties of the Mumford–Shah functional for imaging applications
This page was built for publication: Mumford-Shah-TV functional with application in X-ray interior tomography
