title: Optimized imaging using non-rigid registration.
abstract: The extraordinary improvements of modern imaging devices offer access to data with unprecedented information content. However, widely used image processing methodologies fall far short of exploiting the full breadth of information offered by numerous types of scanning probe, optical, and electron microscopies. In many applications, it is necessary to keep measurement intensities below a desired threshold. We propose a methodology for extracting an increased level of information by processing a series of data sets suffering, in particular, from high degree of spatial uncertainty caused by complex multiscale motion during the acquisition process. An important role is played by a non-rigid pixel-wise registration method that can cope with low signal-to-noise ratios. This is accompanied by formulating objective quality measures which replace human intervention and visual inspection in the processing chain. Scanning transmission electron microscopy of siliceous zeolite material exhibits the above-mentioned obstructions and therefore serves as orientation and a test of our procedures.
authors: Interdisciplinary Mathematics Institute, 1523 Greene Street, University of South Carolina, Columbia, SC 29208, USA. Electronic address: berkels@aices.rwth-aachen.de.
authors: Benjamin
authors: B
authors: Berkels
authors: Interdisciplinary Mathematics Institute, 1523 Greene Street, University of South Carolina, Columbia, SC 29208, USA; Department of Mathematics, 1523 Greene Street, University of South Carolina, Columbia, SC 29208, USA. Electronic address: binev@math.sc.edu.
authors: Peter
authors: P
authors: Binev
authors: NanoCenter, 1212 Greene Street, University of South Carolina, Columbia, SC 29208, USA. Electronic address: doug.blom@sc.edu.
authors: Douglas A
authors: DA
authors: Blom
authors: Interdisciplinary Mathematics Institute, 1523 Greene Street, University of South Carolina, Columbia, SC 29208, USA; Institut für Geometrie und Praktische Mathematik, RWTH Aachen, Templergraben 55, 52056 Aachen, Germany. Electronic address: dahmen@igpm.rwth-aachen.de.
authors: Wolfgang
authors: W
authors: Dahmen
authors: Interdisciplinary Mathematics Institute, 1523 Greene Street, University of South Carolina, Columbia, SC 29208, USA; Department of Mathematics, 1523 Greene Street, University of South Carolina, Columbia, SC 29208, USA. Electronic address: rcsharpley@gmail.com.
authors: Robert C
authors: RC
authors: Sharpley
authors: Interdisciplinary Mathematics Institute, 1523 Greene Street, University of South Carolina, Columbia, SC 29208, USA; NanoCenter, 1212 Greene Street, University of South Carolina, Columbia, SC 29208, USA; Department of Chemistry and Biochemistry, 631 Sumter Street, University of South Carolina, Columbia, SC 29208, USA. Electronic address: tvogt@mailbox.sc.edu.
authors: Thomas
authors: T
authors: Vogt
keywords: Diffusion registration; HAADF-STEM; IQ-factor; Non-rigid registration; Si-Y zeolite