Coded aperture optimization in X-ray tomosynthesis via sparse principal component analysis

Tianyi Mao*, Xu Ma, Angela P. Cuadros, Gonzalo R. Arce*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In this paper, a coded aperture optimization approach based on sparse principal component analysis (SPCA) is proposed to maximize the information sensed by a set of cone-beam projections. The variables in the CT system matrix correspond to observations of the attenuation characteristics of X-ray projections. An adjusted joint variance is used to update the variables and thus the overlapping information of the kth principal component is constrained by the previous k − 1 principal components. Since the coded aperture matrix is diagonal and binary, an efficient algorithm is proposed to reduce the complexity by one order of magnitude. Simulations using simulated datasets, 3D Shepp-Logan phantom, show significant gains up to 23.5dB compared with that attained by random coded apertures. Singular value decomposition (SVD) of the optimized coded apertures is used to analyze the performance of the proposed coded aperture optimization method based on SPCA.

Original languageEnglish
Title of host publicationAnomaly Detection and Imaging with X-Rays (ADIX) V
EditorsAmit Ashok, Joel A. Greenberg, Michael E. Gehm
PublisherSPIE
ISBN (Electronic)9781510635852
DOIs
Publication statusPublished - 2020
EventAnomaly Detection and Imaging with X-Rays (ADIX) V 2020 - None, United States
Duration: 27 Apr 20208 May 2020

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume11404
ISSN (Print)0277-786X
ISSN (Electronic)1996-756X

Conference

ConferenceAnomaly Detection and Imaging with X-Rays (ADIX) V 2020
Country/TerritoryUnited States
CityNone
Period27/04/208/05/20

Keywords

  • Coded aperture optimization
  • Sparse principal component analysis
  • X-ray tomosynthesis

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