Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Potential and Challenge of Ankylography   The concept of ankylography, which under certain circumstances enables 3D
structure determination from a single view [1], had ignited a lively debate
even before its publication [2,3]. Since then, a number of readers requested
the ankylographic reconstruction codes from us. To facilitate a better
understanding of ankylography, we posted the source codes of the ankylographic
reconstruction on a public website and encouraged interested readers to
download the codes and test the method [4]. Those who have tested our codes
confirm that the principle of ankylography works. Furthermore, our mathematical
analysis and numerical simulations suggest that, for a continuous object with
array size of 14x14x14 voxels, its 3D structure can usually be reconstructed
from the diffraction intensities sampled on a spherical shell of 1 voxel thick
[4]. In some cases where the object does not have very dense structure,
ankylography can be applied to reconstruct its 3D image with array size of
25x25x25 voxels [4]. What remains to be elucidated is how to extend
ankylography to the reconstruction of larger objects, and what further
theoretical, experimental and algorithm developments will be necessary to make
ankylography a practical and useful imaging tool. Here we present our
up-to-date understanding of the potential and challenge of ankylography.
Further, we clarify some misconceptions on ankylography, and respond to
technical comments raised by Wei [5] and Wang et al. [6] Finally, it is
worthwhile to point out that the potential for recovering 3D information from
the Fourier coefficients within a spherical shell may also find application in
other fields.

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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-ex
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The categories of this paper are: cs
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
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The categories of this paper are: eess
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The categories of this paper are: stat
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The categories of this paper are: hep-th
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The categories of this paper are: econ
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The categories of this paper are: nlin
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The categories of this paper are: dg-ga