Fractal image compression using digital cone metric space

被引：0

作者：

Gopalakrishnan, T. ^{[1
]}

Almngoshi, Hussein Z. ^{[2
,3
]}

Koppula, Vijaya Kumar ^{[4
]}

Dinesh, K. ^{[5
]}

Sonthi, Vijaya Krishna ^{[6
]}

Sengan, Sudhakar ^{[7
]}

Dadheech, Pankaj ^{[8
]}

机构：

[1] Manipal Acad Higher Educ, Manipal Inst Technol Bengaluru, Dept Informat Technol, Manipal 576104, Karnataka, India

[2] Univ Kerbala, Coll Comp Sci & Informat Technol, Dept Comp Sci, Karbala 56001, Iraq

[3] Univ Warith Al Anbiyaa, Coll Sci, Dept Informat Technol, Karbala 56001, Iraq

[4] SR Univ, Sch Comp Sci & Artificial Intelligence, Warangal 506371, Telangana, India

[5] K Ramakrishnan Coll Engn, Dept Math, Trichy 621112, Tamil Nadu, India

[6] Koneru Lakshmaiah Educ Fdn Vaddeswaram, Dept Comp Sci & Engn, Vaddeswaram 522502, Andhra Pradesh, India

[7] PSN Coll Engn & Technol, Dept Comp Sci & Engn, Tirunelveli 627451, Tamil Nadu, India

[8] Swami Keshvanand Inst Technol Management & Gramoth, Dept Comp Sci & Engn, Jaipur 302017, Rajasthan, India

来源：

JOURNAL OF INTERDISCIPLINARY MATHEMATICS | 2025年 / 28卷 / 02期

关键词：

Digital image; Digital cone metric space; Fixed point theorem; Fractal image compression; Complete; Contractive; FIXED-POINT THEOREMS; PRIVACY; SECURITY;

D O I：

10.47974/JIM-2108

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This work presents Fixed Point Theorems (FPT) on Digital Images (DI) based on the Banach contraction concept developed. The study aims to develop the application of Banach Contraction Mapping Theory (BCMT) for DI, which was presented. The following finding generates a single Fixed Point (FP) for DI, exploring the core idea of DI and implementing the FPT in the context of Digital Image Compression (DIC). Fractal Image Compression (FIC) is a standard method for DIC. It is founded on a search for an object that is accurately in the image. However, a significant problem with DIC is its computational weight. The study proposed a method to reduce data transmission time by applying Image Compression (IC). It highlights the challenges of maximizing Image Quality (IQ) or reducing transmission time for definite IQ. The classic FIC method, which uses non-linear contractive mapping as a constant contractive factor, can attain this.

引用

页码：647 / 658

页数：12

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