Decomposition by series direction images: image reconstruction and enhancement

Artyom M. Grigoryan

doi:10.1117/12.804600

10 February 2009 Decomposition by series direction images: image reconstruction and enhancement

Artyom M. Grigoryan

Proceedings Volume 7245, Image Processing: Algorithms and Systems VII; 72450Q (2009) https://doi.org/10.1117/12.804600
Event: IS&T/SPIE Electronic Imaging, 2009, San Jose, California, United States

Abstract

In this paper, we focus on the effective representation of the image, which is called the paired representation and reduces the image to the set of independent 1-D signals and splits the 2-D DFT into a minimal number of 1-D DFTs. The paired transform is a frequency and time representation of the image. Splitting-signals carry the spectral information in disjoint subsets of frequencies, which allows for enhancing the image by processing splitting-signals separately and changing the resolution of periodic structures composing the image. We present a new effective formula for the inverse 2-D paired transform, which can be used for solving the algebraic system of equations with measurement data for image reconstruction without using the Fourier transform technique. The image is reconstructed directly from the splitting-signals which can be calculated from projection data. The same inverse formula can be used for image enhancement, such as the known method of α-rooting. A new concept of direction images is introduced, that define the decomposition of the image by directions.

Citation Download Citation

Artyom M. Grigoryan "Decomposition by series direction images: image reconstruction and enhancement", Proc. SPIE 7245, Image Processing: Algorithms and Systems VII, 72450Q (10 February 2009); https://doi.org/10.1117/12.804600

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