Image reconstruction via truncated lambda tomography

Hengyong Yu; Yangbo Ye; Ge Wang

doi:10.1117/12.677359

7 September 2006 Image reconstruction via truncated lambda tomography

Hengyong Yu, Yangbo Ye, Ge Wang

Proceedings Volume 6318, Developments in X-Ray Tomography V; 63181K (2006) https://doi.org/10.1117/12.677359
Event: SPIE Optics + Photonics, 2006, San Diego, California, United States

Abstract

This paper investigates the feasibility of reconstructing a Computed Tomography (CT) image from truncated Lambda Tomography (LT), a gradient-like image of it's original. An LT image can be regarded as a convolution of the object image and the point spread function (PSF) of the Calderon operator. The PSF's infinite support provides the LT image infinite support; even the original CT image is of compact support. When the support of a truncated LT image fully covers the compact support of the corresponding CT image, we develop an extrapolation method to recover the CT image more precisely. When the support of the CT image fully covers the support of the truncated LT image, we design a template-based scheme to compensate the cupping effects and reconstruct a satisfactory image. Our algorithms are evaluated in numerical simulations and the results demonstrate the feasibilities of our methods. Our approaches provide a new way to reconstruct high-quality CT images.

Citation Download Citation

Hengyong Yu, Yangbo Ye, and Ge Wang "Image reconstruction via truncated lambda tomography", Proc. SPIE 6318, Developments in X-Ray Tomography V, 63181K (7 September 2006); https://doi.org/10.1117/12.677359

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