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Quantitative gated cardiac SPECT via adaptive KL transform, noise modeling and inversion of attenuated radon transform

¹ Computer Applications/BME, Fourth Military Medical University, Xi’an, Shaanxi, China; ² Radiology, Xijing Hospital, Xi’an, Shaanxi, China; ³ Radiology, State University of New York, Stony Brook, New York

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Objectives: This work aims to overcome the drawbacks of our previous work on KL domain inversion of attenuated Radon transform by adaptive KL method and adaptive Wiener noise filtration of non-stationary Poisson noise, as well as the Novikov’s inverse formula in KL domain.

Methods: Heart motion is classified into several groups based on inter-frame similarities and was therefore subject to corresponding KL transforms. In each group, we proved that the Poisson noise nature remains and Novikov’s inverse formula for the attenuated Radon transform is still valid in the KL domain. Then Anscombe transform was applied to stabilize the non-stationary noise distribution and Wiener filter was accurately designed to treat the noise adaptively for each component. Modified FBP-type formula was applied to get quantitative reconstruction followed by a corresponding inverse KL transform on each classified group to obtain fully 4D SPECT images.

Results: NCAT phantom of a 128 cubic array were used to test the presented adaptive approaches. The adaptive KL transform for each group consisting of similar dynamic frames showed noticeable improvement over our previous work of using a single KL transform for all frames. Further improvement was seen by the adaptive noise treatment of all the KL components over our previous work of discarding the higher-order components.

Conclusions: Modeling the heart motion by adaptive KL transform and filtering the non-stationary noise by adaptive Wiener filter are promising for gated cardiac SPECT.

Research Support: This work was partly supported by the National Natural Science Foundation of China under Grant No. 30170278 and 30470490, and the NIH National Cancer Institute under Grant # CA82402.

This Article Services Email this article to a friend Similar articles in this journal Alert me to new issues of the journal Download to citation manager Google Scholar Articles by Fan, Y. Articles by Liang, Z. PubMed Articles by Fan, Y. Articles by Liang, Z.