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Journals / Sakarya University Journal of Science / 2018 / Cilt: 22 Sayı: 6

Asymptotic Analysis of Shearlet Transfom for Inpainting

Eksik Veri Temininde Shearlet Dönüşümünün Asimptotik Analizi

Hülya KODAL SEVİNDİR
Cüneyt YAZICI
Süleyman ÇETİNKAYA
Pages
1544–1551
Publication Date
2018-12-01
DOI
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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 andshearlet 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.Wavelets are commonly used for inpainting algorithms.
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Key Findings & Data:An asymptotic analysis may help to evaluatethe performance of an algorithm.
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Conclusion & Impact:In this article we compare the asymptotical analysis for wavelet andshearlet transforms in the case of inpainting where the missing data is shaped like a rectangle.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Shearlet Dönüşümü · Dalgacık Dönüşümü · Eksik Verinin Elde Edilmesi

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 affinetransformation is the improvement of the wavelet transform. An asymptotic analysis may help to evaluatethe performance of an algorithm. In this article we compare the asymptotical analysis for wavelet andshearlet 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

SEVİNDİR, H. K., YAZICI, C., ÇETİNKAYA, S. (2018). Asymptotic Analysis of Shearlet Transfom for Inpainting. Sakarya University Journal of Science, Cilt: 22 Sayı: 6, 1544–1551. https://ajindex.com/articles/942067

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