title: Drift correction for single-molecule imaging by molecular constraint field, a distance minimum metric.
abstract: BACKGROUND
  The recent developments of far-field optical microscopy (single molecule imaging techniques) have overcome the diffraction barrier of light and improve image resolution by a factor of ten compared with conventional light microscopy. These techniques utilize the stochastic switching of probe molecules to overcome the diffraction limit and determine the precise localizations of molecules, which often requires a long image acquisition time. However, long acquisition times increase the risk of sample drift. In the case of high resolution microscopy, sample drift would decrease the image resolution.
  
  
  RESULTS
  In this paper, we propose a novel metric based on the distance between molecules to solve the drift correction. The proposed metric directly uses the position information of molecules to estimate the frame drift. We also designed an algorithm to implement the metric for the general application of drift correction. There are two advantages of our method: First, because our method does not require space binning of positions of molecules but directly operates on the positions, it is more natural for single molecule imaging techniques. Second, our method can estimate drift with a small number of positions in each temporal bin, which may extend its potential application.
  
  
  CONCLUSIONS
  The effectiveness of our method has been demonstrated by both simulated data and experiments on single molecular images.
authors: Key Lab of Intelligent Information Processing and Advanced Computing Research Lab, Institute of Computing Technology, Chinese Academy of Sciences, Beijing, 100190 China ; University of Chinese Academy of Sciences, Beijing, China.
authors: Renmin
authors: R
authors: Han
authors: Beijing Institute of Technology, Beijing, China.
authors: Liansan
authors: L
authors: Wang
authors: Key Lab of Intelligent Information Processing and Advanced Computing Research Lab, Institute of Computing Technology, Chinese Academy of Sciences, Beijing, 100190 China ; University of Chinese Academy of Sciences, Beijing, China.
authors: Fan
authors: F
authors: Xu
authors: Institute of Biophysics, Chinese Academy of Sciences, Beijing, 100101 China.
authors: Yongdeng
authors: Y
authors: Zhang
authors: Institute of Biophysics, Chinese Academy of Sciences, Beijing, 100101 China.
authors: Mingshu
authors: M
authors: Zhang
authors: State Key Lab for Computer Architecture, Institute of Computing Technology, Chinese Academy of Sciences, Beijing, 100190 China.
authors: Zhiyong
authors: Z
authors: Liu
authors: Key Lab of Intelligent Information Processing and Advanced Computing Research Lab, Institute of Computing Technology, Chinese Academy of Sciences, Beijing, 100190 China.
authors: Fei
authors: F
authors: Ren
authors: Key Lab of Intelligent Information Processing and Advanced Computing Research Lab, Institute of Computing Technology, Chinese Academy of Sciences, Beijing, 100190 China.
authors: Fa
authors: F
authors: Zhang
keywords: Fluorescence microscopy; Image reconstruction techniques; Resolution; Superresolution
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