By Topic

Wavelet crosstalk matrix and its application to assessment of shift-variant imaging systems

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
Jinyi Qi ; Center for Functional Imaging, Lawrence Berkeley Nat. Lab., CA, USA ; Huesman, R.H.

The objective assessment of image quality is essential for design of imaging systems. Barrett and Gifford introduced the Fourier crosstalk matrix and use it to analyze cone-beam tomography. Fourier crosstalk matrix is a powerful technique for discrete imaging systems that are close to shift invariant because it is diagonal for continuous linear shift-invariant imaging systems. However, for a system that is intrinsically shift-variant, Fourier techniques are not particularly effective. Since Fourier bases have no spatial localization property, the shift-variance of the imaging system cannot be shown by the response of individual Fourier bases; rather, it is shown in the correlation between the Fourier coefficients. This makes the analysis and optimization quite difficult. In this paper, we introduce a wavelet crosstalk matrix based on wavelet series expansions. The wavelet crosstalk matrix allows simultaneous study of the imaging system in both the frequency and spatial domains. Hence, it is well suited for shift-variant systems. We compared the wavelet crosstalk matrix with the Fourier crosstalk matrix for several simulated imaging systems, namely the interior and exterior tomography problems, a dual-planar positron emission tomograph, and a rectangular geometry positron emission tomograph. The results demonstrate the advantages of the wavelet crosstalk matrix in analyzing shift-variant imaging systems.

Published in:

Nuclear Science, IEEE Transactions on  (Volume:51 ,  Issue: 1 )