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Comparison of Wavelet and Shearlet Transforms for Medical Images |
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PP: 1447-1452 |
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doi:10.18576/amis/100423
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Author(s) |
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Hulya Kodal Sevindir,
Cuneyt Yazıcı,
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Abstract |
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Incomplete data is an important problem in the data analysis of all areas. There have been a number of applications related
to inpainting problem which are intriguing. In these papers mathematical theory of shearlet and wavelet transforms related to inpainting
problem are studied and numerical application results are compared, and several inpainting methods are applied to images with vertical,
square and random masking. In one of these studies the suggested undone problems includes applying circular masking. In this paper
following this suggestion, firstly circular masking with arbitrary radius is developed and applied to images, then shearlet and wavelet
transforms are applied to images with circular masking to recover the images. Numerical results show that shearlets are able to inpaint
larger gaps than wavelets in the circular masking case. |
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