NDLI: Image super-resolution reconstruction using the high-order derivative interpolation associated with fractional filter functions

Content Provider	IET Digital Library
Author	Wei, Deyun
Abstract	In this stydy, the authors present a single image super-resolution (SISR) reconstruction based on high-order derivative interpolation (HDI) in the fractional Fourier transform (FRFT) domain. First, the HDI formula is derived using a simple technique, which is based on the relationship between the fractional band-limited signal and the traditional band-limited signal. This interpolation formula contains the derivative information of the image and the FRFT domain filter functions (FDFF). Moreover, the advantages of the FDFF are also analysed. Second, the new SISR reconstruction is presented via the HDI. The main advantage is that the presented method involves the derivatives of an image in the resizing process. Moreover, the authors take advantage of the FDFF to resize the image. Furthermore, three evaluation criteria and some simulations are presented to validate the effectiveness of the proposed method. Last, the proposed method is applied to colour image processing. For a colour image case, the RGB colour space is chosen for super-resolution reconstruction. In addition to peak signal-to-noise ratio, the authors have also used the correlation to assess the quality of the reconstruction. Compared with many methods, extensive experimental results validate that the proposed method can obtain the better-edge characteristic, less blur and less aliasing.
Starting Page	1052
Ending Page	1061
Page Count	10
ISSN	17519675
Volume Number	10
e-ISSN	17519683
Issue Number	Issue 9, Dec (2016)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-spr/10/9
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-spr.2015.0444
Journal	IET Signal Processing
Publisher Date	2016-06-20
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Colour Image Processing Computer Vision And Image Processing Technique Filtering Method in Signal Processing Filtering Theory Fourier Transforms Fractional Band-limited Signal Fractional Filter Function Fractional Fourier Transform Domain FRFT Domain Filter Function HDI High-order Derivative Interpolation Image Colour Analysis Image Reconstruction Image Resolution Integral Transforms in Numerical Analysis Interpolation Interpolation And Function Approximation Numerical Analysis Optical, Image And Video Signal Processing Peak Signal-to-noise Ratio Reconstruction Quality Assessment Resizing Process RGB Colour Space Single Image Super-resolution Reconstruction SISR Reconstruction Traditional Band-limited Signal
Content Type	Text
Resource Type	Article
Subject	Signal Processing Electrical and Electronic Engineering

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