A Fast Relaxed Normal Two Split Method and an Effective Weighted TV Approach for Euler's Elastica Image Inpainting

DOI10.1137/16M1063757zbMath1366.94075MaRDI QIDQ3179615

Maryam Yashtini, Sung Ha Kang

Publication date: 19 December 2016

Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)

zbMATH Keywords

convergence analysisKKT conditionsimage inpaintingnumerical optimization methodsEuler's elastica model

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08)

Related Items (21)

Spatially adapted first and second order regularization for image reconstruction: from an image surface perspective ⋮ An Operator-Splitting Method for the Gaussian Curvature Regularization Model with Applications to Surface Smoothing and Imaging ⋮ Euler's elastica-based algorithm for parallel MRI reconstruction using sensitivity encoding ⋮ Total roto-translational variation ⋮ Connections between Operator-Splitting Methods and Deep Neural Networks with Applications in Image Segmentation ⋮ Elastica Models for Color Image Regularization ⋮ A New Operator Splitting Method for the Euler Elastica Model for Image Smoothing ⋮ A Fast Minimization Algorithm for the Euler Elastica Model Based on a Bilinear Decomposition ⋮ Adaptive image restoration via a relaxed regularization of mean curvature ⋮ Curvature Regularized Surface Reconstruction from Point Clouds ⋮ Convex Lifting-Type Methods for Curvature Regularization ⋮ Multi-block nonconvex nonsmooth proximal ADMM: convergence and rates under Kurdyka-Łojasiewicz property ⋮ An augmented Lagrangian method for solving a new variational model based on gradients similarity measures and high order regulariation for multimodality registration ⋮ Nonlocal elastica model for sparse reconstruction ⋮ Efficient alternating minimization methods for variational edge-weighted colorization models ⋮ On the existence of weak solutions for a curvature driven elliptic system applied to image inpainting ⋮ Image reconstruction by minimizing curvatures on image surface ⋮ A novel Euler's elastica-based segmentation approach for noisy images using the progressive hedging algorithm ⋮ Convergence and rate analysis of a proximal linearized ADMM for nonconvex nonsmooth optimization ⋮ A Penalty Relaxation Method for Image Processing Using Euler's Elastica Model ⋮ A Color Elastica Model for Vector-Valued Image Regularization

Uses Software

• RecPF

Cites Work

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