Minimal-scan reconstruction algorithms for fan-beam diffraction tomography and their analogy to halfscan fan-beam CT

Xiaochuan Pan, Mark A. Anastasio

Research output: Contribution to conferencePaper

Abstract

In fan-beam diffraction tomography (DT), a scattering object is interrogated using a cylindrical acoustical or electromagnetic wavefield, and the scattered wavefield around the object is measured and used to reconstruct the refractive index distribution of the scattering object. Recently, there has been a strong interest in developing ultrasound-, microwave- and photon density-based DT systems as medical imaging modalities. In conventional fan-beam computed tomography (CT), it is possible to reduce the scanning time by use of the so-called minimal-scan approach (also referred to as the halfscan approach) in which one acquires the minimal-scan fan-beam sinogram at projection angles from zero to π plus the fan angle. It is widely believed that in fan-beam DT, measurements from a full angular range of 2π around the scattering object are generally required to exactly reconstruct a complex-valued refractive index distribution. In this work we reveal that to perform an exact reconstruction, one needs measurements only over the angular range 0 ≤ φ ≤ φmin, where π < φmin ≤ 3π/2 is a specified function describing the fan-beam DT geometry. Based on this observation, we develop minimal-scan reconstruction algorithms for fan-beam DT. We also present a discussion of the conceptual similarities between the minimal-scan fan-beam DT and CT reconstruction problems.

Original languageEnglish (US)
Pages15/3-15/7
StatePublished - Dec 1 2000
Externally publishedYes
Event2000 IEEE Nuclear Science Symposium Conference Record - Lyon, France
Duration: Oct 15 2000Oct 20 2000

Other

Other2000 IEEE Nuclear Science Symposium Conference Record
CountryFrance
CityLyon
Period10/15/0010/20/00

ASJC Scopus subject areas

  • Computer Vision and Pattern Recognition
  • Industrial and Manufacturing Engineering

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  • Cite this

    Pan, X., & Anastasio, M. A. (2000). Minimal-scan reconstruction algorithms for fan-beam diffraction tomography and their analogy to halfscan fan-beam CT. 15/3-15/7. Paper presented at 2000 IEEE Nuclear Science Symposium Conference Record, Lyon, France.