Eksik Veri Temininde Shearlet Dönüşümünün Asimptotik Analizi

Year 2018, , 1544 - 1551, 01.12.2018

Hülya Kodal Sevindir , Cüneyt Yazıcı , Süleyman Çetinkaya

https://doi.org/10.16984/saufenbilder.377081

Abstract

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. 

Keywords

Shearlet Dönüşümü, Dalgacık Dönüşümü, Eksik Verinin Elde Edilmesi, Asimptotik Analiz

Asymptotic Analysis of Shearlet Transfom for 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.  

Keywords

Shearlet Transform, Wavelet Transform, Inpainting, Asymptotic Analysis

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