A Wavelet Frame Method with Shape Prior for Ultrasound Video Segmentation
DOI10.1137/15M1033344zbMath1346.65008OpenAlexW2317142331MaRDI QIDQ3188195
Jiulong Liu, Bin Dong, Lixu Gu, Zuowei Shen, Xiaoqun Zhang
Publication date: 17 August 2016
Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/15m1033344
algorithmconvergencenumerical resultswavelet framesvariational modelalternating proximal methodsKurdyka-Łojasiewicz propertyshape priorGaussian and Poisson noisenonconvex segmentation modelreal time trackingultrasound video segmentation
Numerical mathematical programming methods (65K05) Nonconvex programming, global optimization (90C26) Biomedical imaging and signal processing (92C55) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Numerical methods for wavelets (65T60)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Image restoration: a wavelet frame based model for piecewise smooth functions and beyond
- Proximal alternating linearized minimization for nonconvex and nonsmooth problems
- Global minimization for continuous multiphase partitioning problems using a dual approach
- Frame based segmentation for medical images
- Scale space and variational methods in computer vision. Second international conference, SSVM 2009, Voss, Norway, June 1--5, 2009. Proceedings
- Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
- A dual algorithm for the solution of nonlinear variational problems via finite element approximation
- On gradients of functions definable in o-minimal structures
- On semi- and subanalytic geometry
- Affine systems in \(L_ 2(\mathbb{R}^d)\): The analysis of the analysis operator
- Geodesic active contours
- A multiphase level set framework for image segmentation using the Mumford and Shah model
- Using prior shapes in geometric active contours in a variational framework
- Framelets: MRA-based constructions of wavelet frames
- Completely convex formulation of the Chan-Vese image segmentation model
- A variational framework for region-based segmentation incorporating physical noise models
- Convergence analysis for iterative data-driven tight frame construction scheme
- A Block Coordinate Descent Method for Regularized Multiconvex Optimization with Applications to Nonnegative Tensor Factorization and Completion
- Wavelet Frame Based Multiphase Image Segmentation
- Optimal approximations by piecewise smooth functions and associated variational problems
- Proximal Alternating Minimization and Projection Methods for Nonconvex Problems: An Approach Based on the Kurdyka-Łojasiewicz Inequality
- The Split Bregman Method for L1-Regularized Problems
- Algorithms for Finding Global Minimizers of Image Segmentation and Denoising Models
- Split Bregman Methods and Frame Based Image Restoration
- Active contours without edges
- A fast sweeping method for Eikonal equations
- A Convex Approach to Minimal Partitions
- Dynamic SPECT reconstruction from few projections: a sparsity enforced matrix factorization approach
- Image restoration: Total variation, wavelet frames, and beyond
- Image Restoration: Wavelet Frame Shrinkage, Nonlinear Evolution PDEs, and Beyond