Finite Radial Reconstruction for Magnetic Resonance Imaging: A Theoretical Study

Shekhar S. Chandra, Ramitha Archchige, Gary Ruben, Jin Jin, Mingyan Li, Andrew M. Kingston, Imants Svalbe, Stuart Crozier

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

1 Citation (Scopus)


Magnetic resonance (MR) imaging is an important imaging modality for diagnostic medicine due to its ability to visualize the soft tissue of the human body in three dimensions (3D) without ionizing radiation. MR imaging however, typically relies on measurement techniques that do not exploit the geometry of discrete Fourier space, so called k-space, where the measurements are made. In this work, we firstly present a novel k-space tiling scheme that utilizes the finite geometry of discrete Fourier space via the discrete Fourier slice theorem. This produces a sampling of k-space that is pseudo-radial, to be more noise and patient-movement tolerant, and pseudo-random, further improving robustness to noise, whilst sampling with sufficient density near the central k-space region, where the majority of power of anatomical images lies. Secondly, we introduce a stable and iterative discrete reconstruction scheme for recovering images from their limited k-space measurements (in the form discrete slices) based on the maximum likelihood expectation maximization approach. We study the performance of the proposed approach using simulated MR measurements in k-space.

Original languageEnglish
Title of host publication2016 International Conference on Digital Image Computing
Subtitle of host publicationTechniques and Applications (DICTA)
EditorsAlan Wee-Chung Liew, Brian Lovell, Clinton Fookes, Jun Zhou, Yongsheng Gao, Michael Blumenstein, Zhiyong Wang
Place of PublicationPiscataway NJ USA
PublisherIEEE, Institute of Electrical and Electronics Engineers
Number of pages6
ISBN (Electronic)9781509028962, 9781509028955, 9781509028979
Publication statusPublished - 22 Dec 2016
EventDigital Image Computing Techniques and Applications 2016 - Mantra on View Hotel, Gold Coast, Australia
Duration: 30 Nov 20162 Dec 2016
Conference number: 18th (Proceedings)


ConferenceDigital Image Computing Techniques and Applications 2016
Abbreviated titleDICTA 2016
CityGold Coast
OtherThe International Conference on Digital Image Computing: Techniques and Applications (DICTA) is the main Australian Conference on computer vision, image processing, pattern recognition, and related areas. DICTA was established in 1991 as the premier conference of the Australian Pattern Recognition Society (APRS).
Internet address


  • finite Radon transform
  • Fourier slice theorem
  • image reconstruction
  • MLEM
  • MRI

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