Yıl 2018, Cilt 22, Sayı 6, Sayfalar 1544 - 1551 2018-12-01

Asymptotic Analysis of Shearlet Transfom for Inpainting
Eksik Veri Temininde Shearlet Dönüşümünün Asimptotik Analizi

Hülya Kodal Sevindir [1] , Cüneyt Yazıcı [2] , Süleyman Çetinkaya [3]

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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.
  

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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Birincil Dil en
Konular Matematik
Yayımlanma Tarihi December 2018
Dergi Bölümü Araştırma Makalesi
Yazarlar

Orcid: 0000-0003-1460-0608
Yazar: Hülya Kodal Sevindir (Sorumlu Yazar)
Kurum: KOCAELİ ÜNİVERSİTESİ
Ülke: Turkey


Orcid: 0000-0002-4535-510X
Yazar: Cüneyt Yazıcı
Kurum: KOCAELİ ÜNİVERSİTESİ
Ülke: Turkey


Orcid: 0000-0002-8214-5099
Yazar: Süleyman Çetinkaya
Kurum: KOCAELİ ÜNİVERSİTESİ
Ülke: Turkey


Bibtex @araştırma makalesi { saufenbilder377081, journal = {Sakarya University Journal of Science}, issn = {1301-4048}, eissn = {2147-835X}, address = {Sakarya Üniversitesi}, year = {2018}, volume = {22}, pages = {1544 - 1551}, doi = {10.16984/saufenbilder.377081}, title = {Asymptotic Analysis of Shearlet Transfom for Inpainting}, key = {cite}, author = {Çetinkaya, Süleyman and Kodal Sevindir, Hülya and Yazıcı, Cüneyt} }
APA Kodal Sevindir, H , Yazıcı, C , Çetinkaya, S . (2018). Asymptotic Analysis of Shearlet Transfom for Inpainting. Sakarya University Journal of Science, 22 (6), 1544-1551. DOI: 10.16984/saufenbilder.377081
MLA Kodal Sevindir, H , Yazıcı, C , Çetinkaya, S . "Asymptotic Analysis of Shearlet Transfom for Inpainting". Sakarya University Journal of Science 22 (2018): 1544-1551 <http://www.saujs.sakarya.edu.tr/issue/31266/377081>
Chicago Kodal Sevindir, H , Yazıcı, C , Çetinkaya, S . "Asymptotic Analysis of Shearlet Transfom for Inpainting". Sakarya University Journal of Science 22 (2018): 1544-1551
RIS TY - JOUR T1 - Asymptotic Analysis of Shearlet Transfom for Inpainting AU - Hülya Kodal Sevindir , Cüneyt Yazıcı , Süleyman Çetinkaya Y1 - 2018 PY - 2018 N1 - doi: 10.16984/saufenbilder.377081 DO - 10.16984/saufenbilder.377081 T2 - Sakarya University Journal of Science JF - Journal JO - JOR SP - 1544 EP - 1551 VL - 22 IS - 6 SN - 1301-4048-2147-835X M3 - doi: 10.16984/saufenbilder.377081 UR - http://dx.doi.org/10.16984/saufenbilder.377081 Y2 - 2018 ER -
EndNote %0 Sakarya University Journal of Science Asymptotic Analysis of Shearlet Transfom for Inpainting %A Hülya Kodal Sevindir , Cüneyt Yazıcı , Süleyman Çetinkaya %T Asymptotic Analysis of Shearlet Transfom for Inpainting %D 2018 %J Sakarya University Journal of Science %P 1301-4048-2147-835X %V 22 %N 6 %R doi: 10.16984/saufenbilder.377081 %U 10.16984/saufenbilder.377081
ISNAD Kodal Sevindir, Hülya , Yazıcı, Cüneyt , Çetinkaya, Süleyman . "Eksik Veri Temininde Shearlet Dönüşümünün Asimptotik Analizi". Sakarya University Journal of Science 22 / 6 (Aralık 2018): 1544-1551. http://dx.doi.org/10.16984/saufenbilder.377081