Strongly convex optimization for joint fractal feature estimation and texture segmentation
نویسندگان
چکیده
The present work investigates the segmentation of textures by formulating it as a strongly convex optimization problem, aiming to favor piecewise constancy fractal features (local variance and local regularity) widely used model real-world in numerous applications very different nature. Two objective functions combining these two are compared, referred joint coupled , promoting either independent or co-localized changes regularity. To solve resulting nonsmooth problems, because processing large size images databases targeted, categories proximal algorithms (dual forward-backward primal-dual), devised compared. An in-depth study functions, notably their strong convexity, memory computational costs, permits propose significantly accelerated algorithms. A class synthetic models texture is constructed studied. They enable, means large-scale Monte-Carlo simulations, quantify benefits regularity (as opposed only) while using strong-convexity primal-dual Achieved results also permit discuss gains/costs imposing co-localizations problem formulation. Finally, potential proposed approaches illustrated on taken from publicly available documented database.
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ژورنال
عنوان ژورنال: Applied and Computational Harmonic Analysis
سال: 2021
ISSN: ['1096-603X', '1063-5203']
DOI: https://doi.org/10.1016/j.acha.2021.03.009