Segmentation in Measure Spaces

DOI10.1007/S00245-024-10134-5MaRDI QIDQ6496379

Vicent Pallardó-Julià, Salvador Moll, Marcos Solera

Publication date: 3 May 2024

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Mathematics Subject Classification ID

Programming involving graphs or networks (90C35) Graph theory (including graph drawing) in computer science (68R10) Existence theories for free problems in two or more independent variables (49J10) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Detection theory in information and communication theory (94A13) Theory of data (68P99) Signed and weighted graphs (05C22) Flows in graphs (05C21)

Cites Work

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• Nonlinear total variation based noise removal algorithms
• Gamma-convergence of nonlocal perimeter functionals
• Functions of bounded variation on ``good metric spaces
• Nonlocal curvature flows
• Pairings between measures and bounded functions and compensated compactness
• Approximation of sets of finite fractional perimeter by smooth sets and comparison of local and global s-minimal surfaces
• The anisotropic total variation flow
• A notion of total variation depending on a metric with discontinuous coefficients
• Fractional total variation denoising model with \(L^1\) fidelity
• \((\mathrm{BV},L^p)\)-decomposition, \(p = 1,2\), of functions in metric random walk spaces
• The total variation flow in metric random walk spaces
• Regularity of free boundaries in anisotropic capillarity problems and the validity of Young's law
• Rates of convergence for Laplacian semi-supervised learning with low labeling rates
• Optimal approximations by piecewise smooth functions and associated variational problems
• Continuous limits of discrete perimeters
• Nonlocal minimal surfaces
• Active contours without edges
• Decomposition of images by the anisotropic Rudin-Osher-Fatemi model
• Mumford–Shah functionals on graphs and their asymptotics
• Linkage Between Piecewise Constant Mumford--Shah Model and Rudin--Osher--Fatemi Model and Its Virtue in Image Segmentation
• A Method Based on Total Variation for Network Modularity Optimization Using the MBO Scheme
• Local Hölder regularity of minimizers for nonlocal variational problems
• Anisotropic Chan-Vese segmentation
• Nonlocal Bounded Variations with Applications
• The total variation flow in metric graphs
• The Cheeger problem in abstract measure spaces
• Periodic partitions with minimal perimeter

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