A Variational Approach to Additive Image Decomposition into Structure, Harmonic, and Oscillatory Components

2021 ◽  
Vol 14 (4) ◽  
pp. 1749-1789
Author(s):  
Martin Huska ◽  
Sung H. Kang ◽  
Alessandro Lanza ◽  
Serena Morigi
Keyword(s):  
Variational Approach ◽  
Image Decomposition

A Multiscale Variational Model for Image Decomposition

2014 ◽  
Vol 35 (5) ◽  
pp. 1190-1195
Author(s):  
Jian Bai ◽  
Xiang-chu Feng ◽  
Xu-dong Wang
Keyword(s):  
Image Decomposition ◽  
Variational Model

scholarly journals Multiple positive solutions for nonlocal elliptic problems involving the Hardy potential and concave–convex nonlinearities

2020 ◽  
pp. 2050008
Author(s):  
Shaya Shakerian
Keyword(s):  
Variational Methods ◽  
Bounded Domain ◽  
Positive Solutions ◽  
Variational Approach ◽  
Nehari Manifold ◽  
Multiple Positive Solutions ◽  
Hardy Potential ◽  
Smooth Bounded Domain ◽  
Existence And Multiplicity ◽  
The Nehari Manifold

In this paper, we study the existence and multiplicity of solutions for the following fractional problem involving the Hardy potential and concave–convex nonlinearities: [Formula: see text] where [Formula: see text] is a smooth bounded domain in [Formula: see text] containing [Formula: see text] in its interior, and [Formula: see text] with [Formula: see text] which may change sign in [Formula: see text]. We use the variational methods and the Nehari manifold decomposition to prove that this problem has at least two positive solutions for [Formula: see text] sufficiently small. The variational approach requires that [Formula: see text] [Formula: see text] [Formula: see text], and [Formula: see text], the latter being the best fractional Hardy constant on [Formula: see text].

Scalable image decomposition

2021 ◽  
Author(s):  
Hwanbok Mun ◽  
Gang-Joon Yoon ◽  
Jinjoo Song ◽  
Sang Min Yoon
Keyword(s):  
Image Decomposition

Single nighttime image dehazing based on image decomposition

2021 ◽  
Vol 183 ◽  
pp. 107986
Author(s):  
Yun Liu ◽  
Anzhi Wang ◽  
Hao Zhou ◽  
Pengfei Jia
Keyword(s):  
Image Decomposition ◽  
Image Dehazing ◽  
Nighttime Image
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