Mathematical Sciences: Faculty Publications

Computed Tomography Simulation With Superquadrics

Document Type

Article

Publication Date

10-1-2005

Publication Title

Medical Physics

DOI

10.1118/1.2040727

ISSN

2473-4209

Abstract

Accurate and efficient simulation of an x-ray transform for representative structures plays an important role in research and development of x-ray CT, for the evaluation and improvement of CT image reconstruction algorithms, in particular. Superquadrics are a family of three-dimensional objects, which can be used to model a variety of anatomical structures. In this paper, we propose an algorithm for the computation of x-ray transforms for superellipsoids and tori with a monochromatic x-ray. Their usefulness is demonstrated by projection and reconstruction of a superquadric-based thorax phantom. Our work indicates that superquadric modeling provides a more realistic visualization than quadratic modeling, and a faster computation than spline methods.

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