scholarly journals On the Lattice Smoothing Parameter Problem

2013 ◽  
Author(s):  
Kai-Min Chung ◽  
Daniel Dadush ◽  
Feng-Hao Liu ◽  
Chris Peikert
Keyword(s):  
Smoothing Parameter ◽  
Parameter Problem

scholarly journals Image smoothing based on global sparsity decomposition and a variable parameter

2021 ◽  
Author(s):  
Xiang Ma ◽  
Xuemei Li ◽  
Yuanfeng Zhou ◽  
Caiming Zhang
Keyword(s):  
Removal Rate ◽  
Variable Parameter ◽  
Smoothing Parameter ◽  
Smoothing Effect ◽  
Image Smoothing ◽  
Sparse Decomposition ◽  
Alternating Direction ◽  
Texture Removal ◽  
Ideal Algorithm ◽  
Better Than

AbstractSmoothing images, especially with rich texture, is an important problem in computer vision. Obtaining an ideal result is difficult due to complexity, irregularity, and anisotropicity of the texture. Besides, some properties are shared by the texture and the structure in an image. It is a hard compromise to retain structure and simultaneously remove texture. To create an ideal algorithm for image smoothing, we face three problems. For images with rich textures, the smoothing effect should be enhanced. We should overcome inconsistency of smoothing results in different parts of the image. It is necessary to create a method to evaluate the smoothing effect. We apply texture pre-removal based on global sparse decomposition with a variable smoothing parameter to solve the first two problems. A parametric surface constructed by an improved Bessel method is used to determine the smoothing parameter. Three evaluation measures: edge integrity rate, texture removal rate, and gradient value distribution are proposed to cope with the third problem. We use the alternating direction method of multipliers to complete the whole algorithm and obtain the results. Experiments show that our algorithm is better than existing algorithms both visually and quantitatively. We also demonstrate our method’s ability in other applications such as clip-art compression artifact removal and content-aware image manipulation.

scholarly journals On the Spectral Parameter Problem

2009 ◽  
Vol 109 (1) ◽  
pp. 239-255 ◽  
Author(s):  
Michal Marvan
Keyword(s):  
Spectral Parameter ◽  
Parameter Problem

How to Select the Smoothing Parameter?

1989 ◽  
pp. 105-133
Author(s):  
Lázió Györfi ◽  
Wolfgang Härdle ◽  
Pascal Sarda ◽  
Philippe Vieu
Keyword(s):  
Smoothing Parameter
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