https://3demmethods.i2pc.es/index.php?action=history&feed=atom&title=2015Xu_GeometricFlow 2026-06-13T12:12:47Z Revision history for this page on the wiki MediaWiki 1.44.2 https://3demmethods.i2pc.es/index.php?title=2015Xu_GeometricFlow&diff=2695&oldid=prev 2015-07-28T12:40:07Z

<p>Created page with &quot;== Citation == Xu, G.; Li, M. &amp; Chen, C. A multi-scale geometric flow method for molecular structure reconstruction. Computational Science and discovery, 2015, 8, 014002 == ...&quot;</p> <p><b>New page</b></p><div>== Citation ==<br /> <br /> Xu, G.; Li, M. &amp; Chen, C. A multi-scale geometric flow method for molecular structure reconstruction. Computational Science and discovery, 2015, 8, 014002<br /> <br /> == Abstract ==<br /> <br /> We have previously reported an L2-gradient flow (L2GF) method for cryoelectron<br /> tomography and single-particle reconstruction, which has a reasonably<br /> good performance. The aim of this paper is to further upgrade both the computational<br /> efficiency and accuracy of the L2GF method. In a finite-dimensional<br /> space spanned by the radial basis functions, a minimization problem combining<br /> a fourth-order geometric flow with an energy decreasing constraint is solved by a<br /> bi-gradient method. The bi-gradient method involves a free parameter<br /> β ∈ [0, 1]. As β increases from 0 to 1, the structures of the reconstructed<br /> function from coarse to fine are captured. The experimental results show that the<br /> proposed method yields more desirable results.<br /> <br /> == Keywords ==<br /> <br /> == Links ==<br /> <br /> http://iopscience.iop.org/1749-4699/8/1/014002<br /> <br /> == Related software ==<br /> <br /> == Related methods ==<br /> <br /> == Comments ==</div>

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