Non-uniqueness and instability of ‘ankylography’

Ge Wang, Hengyong Yu, Wenxiang Cong and Alexander Katsevich
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Ge Wang: VT-WFU School of Biomedical Engineering and Sciences, Virginia Tech, Blacksburg, Virginia 24060, USA. wangg@vt.edu
Hengyong Yu: VT-WFU School of Biomedical Engineering and Sciences, Virginia Tech, Blacksburg, Virginia 24060, USA. wangg@vt.edu
Wenxiang Cong: VT-WFU School of Biomedical Engineering and Sciences, Virginia Tech, Blacksburg, Virginia 24060, USA. wangg@vt.edu
Alexander Katsevich: University of Central Florida

Nature, 2011, vol. 480, issue 7375, E2-E3

Abstract: Abstract Arising from K. S. Raines et al. Nature 463, 214–217 (2010)10.1038/nature08705 Raines et al. 1 have proposed ‘ankylography’ as a three-dimensional tomographic modality with a single monochromatic beam1. They believe that the three-dimensional structure of an object is “in principle determined by the 2D spherical pattern” that “is sampled at a sufficiently fine scale on the Ewald sphere.” Although they restricted their approach to unspecified “certain circumstances”, they claim potential “broad applications in the physical and life sciences”. Nevertheless, the imaging principles and proposed methodology of ankylography are flawed, bringing into question its applications, which was also pointed out by others, such as in ref. 2.

Date: 2011
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DOI: 10.1038/nature10635

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