The Nonlocal p-Laplacian Evolution for Image Interpolation
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-09-15
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
This paper presents an image interpolation model with nonlocal p-Laplacian regularization.
The nonlocal p-Laplacian regularization overcomes the drawback of the partial differential equation (PDE) proposed by Belahmidi and Guichard (2004) that image density diffuses in the directions pointed by local gradient.
The grey values of images diffuse along image feature direction not gradient direction under the control of the proposed model, that is, minimal smoothing in the directions across the image features and maximal smoothing in the directions along the image features.
The total regularizer combines the advantages of nonlocal p-Laplacian regularization and total variation (TV) regularization (preserving discontinuities and 1D image structures).
The derived model efficiently reconstructs the real image, leading to a natural interpolation, with reduced blurring and staircase artifacts.
We present experimental results that prove the potential and efficacy of the method.
American Psychological Association (APA)
Zhan, Yi. 2011. The Nonlocal p-Laplacian Evolution for Image Interpolation. Mathematical Problems in Engineering،Vol. 2011, no. 2011, pp.1-11.
https://search.emarefa.net/detail/BIM-502116
Modern Language Association (MLA)
Zhan, Yi. The Nonlocal p-Laplacian Evolution for Image Interpolation. Mathematical Problems in Engineering No. 2011 (2011), pp.1-11.
https://search.emarefa.net/detail/BIM-502116
American Medical Association (AMA)
Zhan, Yi. The Nonlocal p-Laplacian Evolution for Image Interpolation. Mathematical Problems in Engineering. 2011. Vol. 2011, no. 2011, pp.1-11.
https://search.emarefa.net/detail/BIM-502116
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-502116