Comparison of Doubling the Size of Image Algorithms

In this paper the comparative analysis for quality of some interpolation non-adaptive methods of doubling the image size is carried out. We used the value of a mean square error for estimation accuracy (quality) approximation. Artifacts (aliasing, Gibbs effect (ringing), blurring, etc.) introduced b...

Full description

Saved in:
Bibliographic Details
Main Authors: S. E. Vaganov, S. I. Khashin
Format: Article
Language:English
Published: Yaroslavl State University 2016-08-01
Series:Моделирование и анализ информационных систем
Subjects:
Online Access:https://www.mais-journal.ru/jour/article/view/365
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1849338932483850240
author S. E. Vaganov
S. I. Khashin
author_facet S. E. Vaganov
S. I. Khashin
author_sort S. E. Vaganov
collection DOAJ
description In this paper the comparative analysis for quality of some interpolation non-adaptive methods of doubling the image size is carried out. We used the value of a mean square error for estimation accuracy (quality) approximation. Artifacts (aliasing, Gibbs effect (ringing), blurring, etc.) introduced by interpolation methods were not considered. The description of the doubling interpolation upscale algorithms are presented, such as: the nearest neighbor method, linear and cubic interpolation, Lanczos convolution interpolation (with a=1,2,3), and 17-point interpolation method. For each method of upscaling to twice optimal coefficients of kernel convolutions for different down-scale to twice algorithms were found. Various methods for reducing the image size by half were considered the mean value over 4 nearest points and the weighted value of 16 nearest points with optimal coefficients. The optimal weights were calculated for each method of doubling described in this paper. The optimal weights were chosen in such a way as to minimize the value of mean square error between the accurate value and the found approximation. A simple method performing correction for approximation of any algorithm of doubling size is offered. The proposed correction method shows good results for simple interpolation algorithms. However, these improvements are insignificant for complex algorithms (17-point interpolation, Lanczos a=3). According to the results of numerical experiments, the most accurate among the reviewed algorithms is the 17-point interpolation method, slightly worse is Lanczos convolution interpolation with the parameter a=3 (see the table at the end)
format Article
id doaj-art-657a4a0d4cfb46a8bb655a4a7b49d4bd
institution Kabale University
issn 1818-1015
2313-5417
language English
publishDate 2016-08-01
publisher Yaroslavl State University
record_format Article
series Моделирование и анализ информационных систем
spelling doaj-art-657a4a0d4cfb46a8bb655a4a7b49d4bd2025-08-20T03:44:17ZengYaroslavl State UniversityМоделирование и анализ информационных систем1818-10152313-54172016-08-0123438240010.18255/1818-1015-2016-4-382-400311Comparison of Doubling the Size of Image AlgorithmsS. E. Vaganov0S. I. Khashin1Ivanovo State UniversityIvanovo State UniversityIn this paper the comparative analysis for quality of some interpolation non-adaptive methods of doubling the image size is carried out. We used the value of a mean square error for estimation accuracy (quality) approximation. Artifacts (aliasing, Gibbs effect (ringing), blurring, etc.) introduced by interpolation methods were not considered. The description of the doubling interpolation upscale algorithms are presented, such as: the nearest neighbor method, linear and cubic interpolation, Lanczos convolution interpolation (with a=1,2,3), and 17-point interpolation method. For each method of upscaling to twice optimal coefficients of kernel convolutions for different down-scale to twice algorithms were found. Various methods for reducing the image size by half were considered the mean value over 4 nearest points and the weighted value of 16 nearest points with optimal coefficients. The optimal weights were calculated for each method of doubling described in this paper. The optimal weights were chosen in such a way as to minimize the value of mean square error between the accurate value and the found approximation. A simple method performing correction for approximation of any algorithm of doubling size is offered. The proposed correction method shows good results for simple interpolation algorithms. However, these improvements are insignificant for complex algorithms (17-point interpolation, Lanczos a=3). According to the results of numerical experiments, the most accurate among the reviewed algorithms is the 17-point interpolation method, slightly worse is Lanczos convolution interpolation with the parameter a=3 (see the table at the end)https://www.mais-journal.ru/jour/article/view/365interpolationconvolution of functionlanczos filter17-point interpolation
spellingShingle S. E. Vaganov
S. I. Khashin
Comparison of Doubling the Size of Image Algorithms
Моделирование и анализ информационных систем
interpolation
convolution of function
lanczos filter
17-point interpolation
title Comparison of Doubling the Size of Image Algorithms
title_full Comparison of Doubling the Size of Image Algorithms
title_fullStr Comparison of Doubling the Size of Image Algorithms
title_full_unstemmed Comparison of Doubling the Size of Image Algorithms
title_short Comparison of Doubling the Size of Image Algorithms
title_sort comparison of doubling the size of image algorithms
topic interpolation
convolution of function
lanczos filter
17-point interpolation
url https://www.mais-journal.ru/jour/article/view/365
work_keys_str_mv AT sevaganov comparisonofdoublingthesizeofimagealgorithms
AT sikhashin comparisonofdoublingthesizeofimagealgorithms