Rational Bi-Quartic Spline with Six Parameters for Surface Interpolation with Application in Image Enlargement

A new rational bi-quartic spline interpolation scheme is constructed in this study. This rational bi-quartic spline has six free parameters that can be used to refine the final interpolating surface. The degree of smoothness attained is C1 continuity. Image interpolation is one of the methods in ima...

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Main Author: Karim, S.A.A.
Format: Article
Institution: Universiti Teknologi Petronas
Record Id / ISBN-0: utp-eprints.23116 /
Published: Institute of Electrical and Electronics Engineers Inc. 2020
Online Access: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85087836041&doi=10.1109%2fACCESS.2020.3002387&partnerID=40&md5=f0f60e45bbde4af3c39b564b1749d148
http://eprints.utp.edu.my/23116/
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spelling utp-eprints.231162021-08-19T05:26:34Z Rational Bi-Quartic Spline with Six Parameters for Surface Interpolation with Application in Image Enlargement Karim, S.A.A. A new rational bi-quartic spline interpolation scheme is constructed in this study. This rational bi-quartic spline has six free parameters that can be used to refine the final interpolating surface. The degree of smoothness attained is C1 continuity. Image interpolation is one of the methods in image processing that is used to rescale the images, either downscaling or upscaling. The proposed rational bi-quartic spline will be used to interpolate the missing pixel in image interpolation. We employ an algorithm that will speed up the process as well as be able to produce the quality upscaling images. We measure the quality of the proposed method by calculating peak-signal-to-noise-ratio (PSNR). Based on numerical comparison, the proposed scheme gives higher PSNR (consequently smaller RMSE) unlike some existing schemes. Thus, the new rational bi-quartic spline with six parameters is better than the existing scheme via an efficient algorithm. All numerical simulations and graphical results are presented using MATLAB. © 2013 IEEE. Institute of Electrical and Electronics Engineers Inc. 2020 Article NonPeerReviewed https://www.scopus.com/inward/record.uri?eid=2-s2.0-85087836041&doi=10.1109%2fACCESS.2020.3002387&partnerID=40&md5=f0f60e45bbde4af3c39b564b1749d148 Karim, S.A.A. (2020) Rational Bi-Quartic Spline with Six Parameters for Surface Interpolation with Application in Image Enlargement. IEEE Access, 8 . pp. 115621-115633. http://eprints.utp.edu.my/23116/
institution Universiti Teknologi Petronas
collection UTP Institutional Repository
description A new rational bi-quartic spline interpolation scheme is constructed in this study. This rational bi-quartic spline has six free parameters that can be used to refine the final interpolating surface. The degree of smoothness attained is C1 continuity. Image interpolation is one of the methods in image processing that is used to rescale the images, either downscaling or upscaling. The proposed rational bi-quartic spline will be used to interpolate the missing pixel in image interpolation. We employ an algorithm that will speed up the process as well as be able to produce the quality upscaling images. We measure the quality of the proposed method by calculating peak-signal-to-noise-ratio (PSNR). Based on numerical comparison, the proposed scheme gives higher PSNR (consequently smaller RMSE) unlike some existing schemes. Thus, the new rational bi-quartic spline with six parameters is better than the existing scheme via an efficient algorithm. All numerical simulations and graphical results are presented using MATLAB. © 2013 IEEE.
format Article
author Karim, S.A.A.
spellingShingle Karim, S.A.A.
Rational Bi-Quartic Spline with Six Parameters for Surface Interpolation with Application in Image Enlargement
author_sort Karim, S.A.A.
title Rational Bi-Quartic Spline with Six Parameters for Surface Interpolation with Application in Image Enlargement
title_short Rational Bi-Quartic Spline with Six Parameters for Surface Interpolation with Application in Image Enlargement
title_full Rational Bi-Quartic Spline with Six Parameters for Surface Interpolation with Application in Image Enlargement
title_fullStr Rational Bi-Quartic Spline with Six Parameters for Surface Interpolation with Application in Image Enlargement
title_full_unstemmed Rational Bi-Quartic Spline with Six Parameters for Surface Interpolation with Application in Image Enlargement
title_sort rational bi-quartic spline with six parameters for surface interpolation with application in image enlargement
publisher Institute of Electrical and Electronics Engineers Inc.
publishDate 2020
url https://www.scopus.com/inward/record.uri?eid=2-s2.0-85087836041&doi=10.1109%2fACCESS.2020.3002387&partnerID=40&md5=f0f60e45bbde4af3c39b564b1749d148
http://eprints.utp.edu.my/23116/
_version_ 1741196623455715328
score 11.62408

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