(F, K, b)-vex sets and some related properties

DOI10.1080/00207160.2012.749984zbMath1280.26020OpenAlexW2007374921MaRDI QIDQ2855729

Yaoqi Ma, Yu-Hui Liu, Rui. Zang

Publication date: 22 October 2013

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2012.749984

zbMATH Keywords

image processingline segment\((E-b)\)-vex sets\((F,K,b)\)-vex sets\(E\)-convex sets

Mathematics Subject Classification ID

Nonlinear programming (90C30) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Convexity of real functions in one variable, generalizations (26A51)

Cites Work

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• E-convexity and its generalizations
• An Introduction to Banach Space Theory
• Mathematical Morphology: A Modern Approach in Image Processing Based on Algebra and Geometry
• On \(E\)-convex sets, \(E\)-convex functions, and \(E\)-convex programming
• Set-valued maps for image segmentation

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