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		<title>WikiSysop: Created page with &quot;== Citation ==  Marshall, N. F.; Lan, T.-Y.; Bendory, T., Singer, A. Image recovery from rotational and translational invariants. Proc. IEEE Intl. Conf. ICASSP, 2020, 5780-578...&quot;</title>
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		<updated>2020-07-09T07:11:17Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;== Citation ==  Marshall, N. F.; Lan, T.-Y.; Bendory, T., Singer, A. Image recovery from rotational and translational invariants. Proc. IEEE Intl. Conf. ICASSP, 2020, 5780-578...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;== Citation ==&lt;br /&gt;
&lt;br /&gt;
Marshall, N. F.; Lan, T.-Y.; Bendory, T., Singer, A. Image recovery from rotational and translational invariants. Proc. IEEE Intl. Conf. ICASSP, 2020, 5780-5784 &lt;br /&gt;
&lt;br /&gt;
== Abstract ==&lt;br /&gt;
&lt;br /&gt;
We introduce a framework for recovering an image from&lt;br /&gt;
its rotationally and translationally invariant features based&lt;br /&gt;
on autocorrelation analysis. This work is an instance of the&lt;br /&gt;
multi-target detection statistical model, which is mainly used&lt;br /&gt;
to study the mathematical and computational properties of&lt;br /&gt;
single-particle reconstruction using cryo-electron microscopy&lt;br /&gt;
(cryo-EM) at low signal-to-noise ratios. We demonstrate&lt;br /&gt;
with synthetic numerical experiments that an image can be&lt;br /&gt;
reconstructed from rotational and translational invariants and&lt;br /&gt;
show that the reconstruction is robust to noise. These results&lt;br /&gt;
constitute an important step towards the goal of structure&lt;br /&gt;
determination of small biomolecules using cryo-EM.&lt;br /&gt;
&lt;br /&gt;
== Keywords ==&lt;br /&gt;
&lt;br /&gt;
== Links ==&lt;br /&gt;
&lt;br /&gt;
https://ieeexplore.ieee.org/abstract/document/9053932&lt;br /&gt;
&lt;br /&gt;
== Related software ==&lt;br /&gt;
&lt;br /&gt;
== Related methods ==&lt;br /&gt;
&lt;br /&gt;
== Comments ==&lt;/div&gt;</summary>
		<author><name>WikiSysop</name></author>
	</entry>
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