Comparison of doubling the size of image algorithms
S. E. Vaganov, S. I. Khashin
Ivanovo State University, Ermaka str., 39, Ivanovo, 153025, Russia
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).
interpolation, convolution of function, Lanczos filter, 17-point interpolation.
PDF file (573 kB)
S. E. Vaganov, S. I. Khashin, “Comparison of doubling the size of image algorithms”, Model. Anal. Inform. Sist., 23:4 (2016), 389–400
Citation in format AMSBIB
\by S.~E.~Vaganov, S.~I.~Khashin
\paper Comparison of doubling the size of image algorithms
\jour Model. Anal. Inform. Sist.
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