Postprocessing Algorithm for Driving Conventional Scanning Tunneling Microscope at Fast Scan Rates

Algorithm 1

The Constrained Adaptive and Iterative Filtering Algorithm.

Input: Aligned forward and backward scan and with dimension

, the tolerance and the maximum iteration number .

For   do

 (1) Set , and .

 (2) Calculate and .

 (3) For   do:

     (a) For    do:

         (i) Compute .

         (ii) Set .

     (b) Compute , terminate loop 3 if .

 (4) Set the -th row of the output data .

end for

Output: as the restored data from and .