Wavelets and Application in Tomography

Khandakar, Mostafizar and Sastry, Challa Subrahmanya (2018) Wavelets and Application in Tomography. Masters thesis, Indian Institute of Technology Hyderabad.

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Abstract

The wavelet transform is a tool that cuts up functions into di�ernt frequency components with a resolution matched to its scale. The basic objective of Computed Tomography(CT) in medical use is to obtain high quality images from projection data with as little of radiation dosage as possible. The wavelet transform of f is a classical tool for analyzing local frequency content. The present work explores the theory of wavelets and demonstares its applicability in Tomography. The ridge function (x:u�) is not integrable. But for various reasons, one needs compactly supported radially symmetric function. We prove that the function (x) =12�Z 2�0 (x:u�)�(x:v�)d� which is compactly sapported which gives the better result for reconstruction.

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