Next Article in Journal
GRSA Enhanced for Protein Folding Problem in the Case of Peptides
Previous Article in Journal
Exact Solutions for a Class of Wick-Type Stochastic (31)-Dimensional Modified Benjamin–Bona–Mahony Equations+
Previous Article in Special Issue
Why Triangular Membership Functions Are Successfully Used in F-Transform Applications: A Global Explanation to Supplement the Existing Local Ones
Open AccessArticle

A Fast Multilevel Fuzzy Transform Image Compression Method

1
Università degli Studi di Napoli Federico II, Dipartimento di Architettura, Via Toledo 402, 80134 Napoli, Italy
2
Università degli Studi di Napoli Federico II, Centro Interdipartimentale Alberto CalzaBini, Napoli, Italy
3
Institute for Research and Applications of Fuzzy Modeling, Dvořákova 7, 701 03 Ostrava, Czech Republic
*
Author to whom correspondence should be addressed.
Axioms 2019, 8(4), 135; https://doi.org/10.3390/axioms8040135
Received: 27 October 2019 / Revised: 2 December 2019 / Accepted: 2 December 2019 / Published: 3 December 2019
(This article belongs to the Special Issue Fuzzy Transforms and Their Applications)
We present a fast algorithm that improves on the performance of the multilevel fuzzy transform image compression method. The multilevel F-transform (for short, MF-tr) algorithm is an image compression method based on fuzzy transforms that, compared to the classic fuzzy transform (F-transform) image compression method, has the advantage of being able to reconstruct an image with the required quality. However, this method can be computationally expensive in terms of execution time since, based on the compression ratio used, different iterations may be necessary in order to reconstruct the image with the required quality. To solve this problem, we propose a fast variation of the multilevel F-transform algorithm in which the optimal compression ratio is found in order to reconstruct the image in as few iterations as possible. Comparison tests show that our method reconstructs the image in at most half of the CPU time used by the MF-tr algorithm.
Keywords: F-transform; MF-tr; fast MF-tr; compression ratio; PSNR; PSNR threshold F-transform; MF-tr; fast MF-tr; compression ratio; PSNR; PSNR threshold
Show Figures

Graphical abstract

MDPI and ACS Style

Di Martino, F.; Perfilieva, I.; Sessa, S. A Fast Multilevel Fuzzy Transform Image Compression Method. Axioms 2019, 8, 135.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop