Kaiser-Hamming pencere yapısı ve Huang dönüşümü kullanılarak iki boyutlu sayısal süzgeç tasarımı ve imge iyileştirme uygulaması

İmge iyileştirme işlemleri için uzamsal alanda veya frekans alanda süzme işlemleri yapan iki boyutlu sayısal süzgeçler kullanılmaktadır. Yüksek çözünürlüklü imge iyileştirme işlemleri için hesaplama avantajından dolayı frekans alanda süzme yapan iki boyutlu sayısal süzgeçler tercih edilmektedir. Fakat frekans alan tabanlı iki boyutlu sayısal süzgeç tasarım yöntemlerinde hesap karmaşıklığı fazlalığı, optimum olmayan kötü süzgeç performansı ve elastikiyetsizlik gibi çeşitli sorunlar bulunmaktadır. Ayrıca literatürde önerilen birçok tasarım yönteminde imge üzerinde uygulamanın hiç yapılmadığı görülmektedir. Bu çalışmada önerilen yöntem az hesap karmaşıklığında iyileştirilmiş süzgeç performansı ve elastikiyete sahip bir çözüm sunmaktadır. İmge iyileştirme üzerindeki etkisinin de çalışıldığı önerilen yöntem, Huang yöntemi kullanarak elde edilen iki boyutlu Kaiser-Hamming pencere ailesinin türetilmesine dayanmaktadır. Önerilen yöntem sabit bir uzunlukta farklı süzgeç karakteristiğine sahip birçok iki boyutlu sayısal süzgeç tasarlanmasını sağlamaktadır. İki imge için farklı süzme örneklerinden elde edilen benzeşim sonuçları, önerilen yöntemle tasarlanan iki boyutlu sayısal süzgeçlerin imge yumuşatma ve imge keskinleştirme gibi imge iyileştirme uygulamaları için istenilen seviyeye göre geniş ölçekte farklı yumuşatma ve keskinleştirme sağlayabileceğini ve ayrıca önerilen pencerenin uzunluk ile bağımsız biçim parametrelerinin imge üzerinde zıt etkiler yarattığını göstermiştir.

Anahtar Kelimeler:

İmge işleme, İmge iyileştirme; İki boyutlu sayısal süzgeçler; İki boyutlu Kaiser-Hamming penceresi; Huang yöntemi

Two dimensional digital filter design using Kaiser-Hamming window structure and Huang transform and image enhancement application

Two dimensional digital filters which perform spatial filtering or frequency domain filtering are used for image enhancement operations. For high resolution image enhancement operations, two-dimensional digital filters which perform filtering in the frequency domain are preferred due to the computational advantage. However, in frequency domain based two dimensional digital filter design methods, there are various issues such as excess of computational complexity, suboptimal bad filter performance, and lack of elasticity. Moreover, in many design methods proposed in the literature, it is seen that there is no application on the image. The proposed method in this study presents a solution with improved filter performance and elasticity in less computational complexity. The proposed method, in which the effect on image enhancement is also studied, is based on the derivation of a two-dimensional Kaiser-Hamming window family obtained using the Huang’s method. The proposed method provides the design of many two-dimensional digital filters with various filter characteristics at a fixed length. Simulation results obtained from various filtering examples for two images show that two dimensional digital filters designed by the proposed method can provide different smoothing and sharpening on a wide scale according to the desired level for image enhancement applications such as image smoothing and image sharpening, and also the length and independent shape parameters of the proposed window have opposite effects on the image.

Keywords:

Image processing, Image enhancement; Two dimensional digital filter; Two dimensional Kaiser-Hamming window; Huang’s method,

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