Data Truncation and the Exterior Reconstruction Problem in Reflection-Mode Tomography

Yu Zou, Xiaochuan Pan, Mark A. Anastasio

Research output: Contribution to conferencePaper

Abstract

In reflectivity tomography, a reflecting object that is immersed in an acoustically homogeneous background medium is interrogated with a short ultrasonic pulse and the corresponding reflected signal is measured at the source location as a function of time. From the set of reflected-signal data corresponding to different source-receiver locations, an image that represents the object's spatially inhomogeneous reflectivity is reconstructed. In this work, the reconstruction of reflectivity images from temporally truncated data is investigated. An iterative reconstruction algorithm is proposed and investigated for reconstructing images from such truncated data. Using a potato-peeler procedure and concepts from microlocal analysis, we describe necessary and sufficient conditions that permit for a stable reconstruction from temporally truncated data.

Original languageEnglish (US)
Pages726-730
Number of pages5
StatePublished - Dec 1 2002
Externally publishedYes
Event2002 IEEE Nuclear Science Symposium Conference Record - Norfolk, VA, United States
Duration: Nov 10 2002Nov 16 2002

Other

Other2002 IEEE Nuclear Science Symposium Conference Record
CountryUnited States
CityNorfolk, VA
Period11/10/0211/16/02

ASJC Scopus subject areas

  • Computer Vision and Pattern Recognition
  • Industrial and Manufacturing Engineering

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    Zou, Y., Pan, X., & Anastasio, M. A. (2002). Data Truncation and the Exterior Reconstruction Problem in Reflection-Mode Tomography. 726-730. Paper presented at 2002 IEEE Nuclear Science Symposium Conference Record, Norfolk, VA, United States.