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Journals / Gazi University Journal of Science / 2026 / Volume: 38 Issue: 1

Fractal Image Decompression via Non-affine Contractions

Nisa Aslan(ESKISEHIR TECHNICAL UNIVERSİTY)0000-0002-2103-0511
İsmail Aslan(HACETTEPE ÜNİVERSİTESİ)0000-0001-9753-6757
Pages
—
Publication Date
2025-03-01
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

At the end, we illustrate the proposed method with some examples.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, considering the well-known fractal image compression, we introduce the image decompression method through non-affine contraction mappings.
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Key Findings & Data:To achieve this, we convert affine contraction mappings into non-affine contraction mappings using Lipschitz continuous functions, subject to certain assumptions.
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Conclusion & Impact:At the end, we illustrate the proposed method with some examples.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Fractal image compression · Iterated function system · Audio compression

Abstract

In this study, considering the well-known fractal image compression, we introduce the image decompression method through non-affine contraction mappings. To achieve this, we convert affine contraction mappings into non-affine contraction mappings using Lipschitz continuous functions, subject to certain assumptions. Our expectation is to obtain decompressed images of superior quality compared to the classical fractal image compression method. We also apply our method for audio decompression. At the end, we illustrate the proposed method with some examples.

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Cite This Article

Aslan, N., Aslan, İ. (2025). Fractal Image Decompression via Non-affine Contractions. Gazi University Journal of Science, Volume: 38 Issue: 1. https://doi.org/10.35378/gujs.1425702

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