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An Efficient Algorithm for the Piecewise Affine-Linear Mumford-Shah Model Based on a Taylor Jet Splitting


Smart Water Management System

Class Agnostic Image Common Ob

A Hierarchical Image Matting M
Abstract


We propose an algorithm to efficiently compute approximate solutions of the piecewise affine Mumford-Shah model. The algorithm is based on a novel reformulation of the underlying optimization problem in terms of Taylor jets. A splitting approach leads to linewise segmented jet estimation problems for which we propose an exact and efficient solver. The proposed method has the combined advantages of prior algorithms: it directly yields a partition, it does not need an initialization procedure, and it is highly parallelizable. The experiments show that the algorithm has lower computation times and that the solutions often have lower functional values than the state of the art

KeyWords
Image partitioning, piecewise affine linear Mumford-Shah model, image segmentation, unsupervised segmentation, non convex optimization, splitting approach, image processsing, image edge detection



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