On the taut string interpretation and other properties of the Rudin-Osher-Fatemi model in one dimension
DOI10.1007/s10851-019-00905-zzbMath1479.94071OpenAlexW2974573223MaRDI QIDQ2331667
Publication date: 30 October 2019
Published in: Journal of Mathematical Imaging and Vision (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10851-019-00905-z
total variation minimizationisotonic regressionregression splinesfused Lassotaut stringhigher-order total variationdenoising semigroupLewy-Stampacchia inequality
Numerical methods involving duality (49M29) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Optimality conditions for free problems in one independent variable (49K05)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonlinear total variation based noise removal algorithms
- A study of the one dimensional total generalised variation regularisation problem
- Duality-based algorithms for total-variation-regularized image restoration
- The total variation flow in \(\mathbb R^N\)
- On the gradient flow of a one-homogeneous functional
- Total variation flow and sign fast diffusion in one dimension
- Variational methods on the space of functions of bounded Hessian for convexification and denoising
- Splines in higher order TV regularization
- Discrete taut strings and real interpolation
- Variational methods in imaging
- Locally adaptive regression splines
- Image recovery via total variation minimization and related problems
- An algorithm for total variation minimization and applications
- Some qualitative properties for the total variation flow
- A characterization of convex calibrable sets in \(\mathbb R^N\)
- Minimizing total variation flow
- Local extremes, runs, strings and multiresolution. (With discussion)
- Extensions of smoothing via taut strings
- Characterization of optimal decompositions in real interpolation
- The abstract Lewy-Stampacchia inequality and applications
- The equivalence of the taut string algorithm and BV-regularization
- Monotone spectral density estimation
- Pathwise coordinate optimization
- On the smoothness of superharmonics which solve a minimum problem
- Variational Analysis in Sobolev and BV Spaces
- The Discontinuity Set of Solutions of the TV Denoising Problem and Some Extensions
- Convergence rates of convex variational regularization
- Sparsity and Smoothness Via the Fused Lasso
- Total Bounded Variation Regularization as a Bilaterally Constrained Optimization Problem
- Explicit Solutions of the Eigenvalue Problem $div \left(\frac Du\vert Du \vert \right)=u$ in $R^2$
- Total Generalized Variation
This page was built for publication: On the taut string interpretation and other properties of the Rudin-Osher-Fatemi model in one dimension