A fractional-order image segmentation model with application to low-contrast and piecewise smooth images

DOI10.1016/j.camwa.2023.11.010MaRDI QIDQ6144186

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Publication date: 5 January 2024

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

image segmentationADIfractional-orderstructure tensor

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Computing methodologies for image processing (68U10) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Cites Work

• Variational image registration by a total fractional-order variation model
• Error analysis of a compact ADI scheme for the 2D fractional subdiffusion equation
• A Mumford-Shah level-set approach for the inversion and segmentation of SPECT/CT data
• Geometric applications of the split Bregman method: segmentation and surface reconstruction
• A convex and selective variational model for image segmentation
• Geodesic active contours
• A multiphase level set framework for image segmentation using the Mumford and Shah model
• An alternating direction implicit scheme of a fractional-order diffusion tensor image registration model
• An anisotropic diffusion system with nonlinear time-delay structure tensor for image enhancement and segmentation
• Topology- and convexity-preserving image segmentation based on image registration
• A tensor voting based fractional-order image denoising model and its numerical algorithm
• A linear finite difference scheme for generalized time fractional Burgers equation
• An efficient local Chan-Vese model for image segmentation
• A Two-Stage Image Segmentation Method Using a Convex Variant of the Mumford--Shah Model and Thresholding
• Nonconvex TV$^q$-Models in Image Restoration: Analysis and a Trust-Region Regularization--Based Superlinearly Convergent Solver
• A Two-Stage Image Segmentation Method for Blurry Images with Poisson or Multiplicative Gamma Noise
• A 3D multi-grid algorithm for the Chan–Vese model of variational image segmentation
• Optimal approximations by piecewise smooth functions and associated variational problems
• Smoothing Nonlinear Conjugate Gradient Method for Image Restoration Using Nonsmooth Nonconvex Minimization
• Approximation of functional depending on jumps by elliptic functional via t-convergence
• A Total Fractional-Order Variation Model for Image Restoration with Nonhomogeneous Boundary Conditions and Its Numerical Solution
• Augmented Lagrangian Method, Dual Methods, and Split Bregman Iteration for ROF, Vectorial TV, and High Order Models
• Analysis of the Inexact Uzawa Algorithm for Saddle Point Problems
• Active contours without edges
• Adaptive Regularization With the Structure Tensor
• Mumford–Shah regularization in electrical impedance tomography with complete electrode model
• A fast algorithm for automatic segmentation and extraction of a single object by active surfaces
• Coefficient of Variation Based Image Selective Segmentation Model Using Active Contours
• Image segmentation based on the hybrid bias field correction

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