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Journals / Sakarya University Journal of Science / 2018 / Volume: 22 Issue: 6

Asymptotic Analysis of Shearlet Transfom for Inpainting

Eksik Veri Temininde Shearlet Dönüşümünün Asimptotik Analizi

Hülya Kodal Sevindir(KOCAELİ ÜNİVERSİTESİ)0000-0003-1460-0608
Cüneyt Yazıcı(KOCAELİ ÜNİVERSİTESİ)0000-0002-4535-510X
Süleyman Çetinkaya(KOCAELİ ÜNİVERSİTESİ)0000-0002-8214-5099
Pages
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Publication Date
2018-12-01
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AI Summary & Key Takeaways

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

In this article we compare the asymptotical analysis for wavelet and shearlet transforms in the case of inpainting where the missing data is shaped like a rectangle.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Supply of missing data, also known as inpainting, is an important application of image processing.
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Key Findings & Data:An asymptotic analysis may help to evaluate the performance of an algorithm.
💡
Conclusion & Impact:In this article we compare the asymptotical analysis for wavelet and shearlet transforms in the case of inpainting where the missing data is shaped like a rectangle.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Shearlet Transform · Wavelet Transform · Inpainting

Abstract

Supply of missing data, also known as inpainting, is an important application of image processing. Wavelets are commonly used for inpainting algorithms. Shearlet transform which is an affine transformation is the improvement of the wavelet transform. An asymptotic analysis may help to evaluate the performance of an algorithm. In this article we compare the asymptotical analysis for wavelet and shearlet transforms in the case of inpainting where the missing data is shaped like a rectangle.

Özet

Asimptotik analiz bir algoritmanın performansı hakkında bize yol gösterir. Matematiksel ispatlarla yapılmış bir asimptotik analiz, algoritmaların performansını anlamlandırmada oldukça güçlü bir yöntemdir. Shearlet dönüşümü ise dalgacık dönüşümünün etkili bir geliştirmesi olarak son yıllarda ortaya çıkmış matematiksel bir yöntemdir. Bu amaçla bu makalede, görüntülerdeki olası kayıp verinin yeniden temini açısından shearlet dönüşümü, dalgacık dönüşümü ile asimptotik olarak kıyaslanmıştır. Görüntü işleme uygulamaları içerisinde, görüntüler üzerinde eksik (kayıp) olan verinin yeniden elde edilmesi amacıyla, eksik verinin şeklen yatay konumlanmış dikdörtgen şeklinde olması durumunda Shearlet dönüşümü için asimptotik analizi yapılmıştır.

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Cite This Article

Sevindir, H. K., Yazıcı, C., Çetinkaya, S. (2018). Asymptotic Analysis of Shearlet Transfom for Inpainting. Sakarya University Journal of Science, Volume: 22 Issue: 6. https://doi.org/10.16984/saufenbilder.377081

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