Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Fast Scanning Probe Microscopy via Machine Learning: Non-Rectangular Scans with Compressed Sensing and Gaussian Process Optimization

Journal Article · · Small
Fast scanning probe microscopy enabled via machine learning allows for a broad range of nanoscale, temporally resolved physics to be uncovered. However, such examples for functional imaging are few in number. Here, using piezoresponse force microscopy (PFM) as a model application, a factor of 5.8 reduction in data collection using a combination of sparse spiral scanning with compressive sensing and Gaussian process regression reconstruction is demonstrated. It is found that even extremely sparse spiral scans offer strong reconstructions with less than 6% error for Gaussian process regression reconstructions. Further, the error associated with each reconstructive technique per reconstruction iteration is analyzed, finding the error is similar past ≈15 iterations, while at initial iterations Gaussian process regression outperforms compressive sensing. Finally, this study highlights the capabilities of reconstruction techniques when applied to sparse data, particularly sparse spiral PFM scans, with broad applications in scanning probe and electron microscopies.
Research Organization:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
AC05-00OR22725
OSTI ID:
1649231
Alternate ID(s):
OSTI ID: 1647248
Journal Information:
Small, Journal Name: Small Journal Issue: 37 Vol. 16; ISSN 1613-6810
Publisher:
WileyCopyright Statement
Country of Publication:
United States
Language:
English

References (71)

Wear of the atomic force microscope tip under light load, studied by atomic force microscopy journal August 1995
Unraveling Deterministic Mesoscopic Polarization Switching Mechanisms: Spatially Resolved Studies of a Tilt Grain Boundary in Bismuth Ferrite journal July 2009
Recent Trends in Surface Characterization and Chemistry with High-Resolution Scanning Force Methods journal November 2010
Metal Thio- and Selenophosphates as Multifunctional van der Waals Layered Materials journal August 2017
Continuous Measurement of Atomic Force Microscope Tip Wear by Contact Resonance Force Microscopy journal March 2011
Influence of the inhomogeneous field at the tip on quantitative piezoresponse force microscopy journal December 2006
Fundamental Investigation of the Wear Progression of Silicon Atomic Force Microscope Probes journal October 2013
Nano-scale wear: A review journal September 2012
Kelvin probe microscopy measurements of surface potential change under wear at low loads journal August 2000
Dynamic atomic force microscopy methods journal September 2002
Force spectroscopy with single bio-molecules journal October 2000
Reconstruction of undersampled atomic force microscope images using block-based compressive sensing journal August 2019
Contour-oriented automatic tracking based on Gaussian processes for atomic force microscopy journal December 2019
Reconstruction of atomic force microscopy image using compressed sensing journal February 2018
Space-filling scan paths and Gaussian process-aided adaptive sampling for efficient surface measurements journal October 2018
Characteristics of fracture during the approach process and wear mechanism of a silicon AFM tip journal January 2005
Contact mechanics and tip shape in AFM-based nanomechanical measurements journal April 2006
Structure assisted compressed sensing reconstruction of undersampled AFM images journal January 2017
Optimal sampling and reconstruction of undersampled atomic force microscope images using compressive sensing journal June 2018
A continuous sampling pattern design algorithm for atomic force microscopy images journal January 2019
High Speed SPM for Novel Property Mapping of Functional Ceramics journal August 2014
Compressed Sensing of Scanning Transmission Electron Microscopy (STEM) With Nonrectangular Scans journal December 2018
Differentiating Ferroelectric and Nonferroelectric Electromechanical Effects with Scanning Probe Microscopy journal May 2015
High- T c Layered Ferrielectric Crystals by Coherent Spinodal Decomposition journal October 2015
Decoupling Electrochemical Reaction and Diffusion Processes in Ionically-Conductive Solids on the Nanometer Scale journal November 2010
Measuring oxygen reduction/evolution reactions on the nanoscale journal August 2011
Room-temperature ferroelectricity in CuInP2S6 ultrathin flakes journal August 2016
How the doors to the nanoworld were opened journal October 2006
Tunable quadruple-well ferroelectric van der Waals crystals journal November 2019
Compressive Sensing with Optical Chaos journal December 2016
Quantitative characterization of the ionic mobility and concentration in Li-battery cathodes via low frequency electrochemical strain microscopy journal January 2018
Acoustic microscopy by atomic force microscopy journal March 1994
Vibrations of free and surface‐coupled atomic force microscope cantilevers: Theory and experiment journal September 1996
Magnetic dissipation force microscopy journal July 1997
Switching properties of self-assembled ferroelectric memory cells journal August 1999
Piezoelectric nonlinearity of Pb(Zr,Ti)O3 thin films probed by scanning force microscopy journal October 2002
Effect of diamagnetic Ca, Sr, Pb, and Ba substitution on the crystal structure and multiferroic properties of the BiFeO3 perovskite journal January 2008
Ferroelectric domain wall pinning at a bicrystal grain boundary in bismuth ferrite journal October 2008
Frequency modulation detection using high‐ Q cantilevers for enhanced force microscope sensitivity journal January 1991
Kelvin probe force microscopy for potential distribution measurement of semiconductor devices journal March 1995
High-frequency response of atomic-force microscope cantilevers journal August 1997
Calibrated nanoscale dopant profiling using a scanning microwave microscope journal January 2012
High-speed Lissajous-scan atomic force microscopy: Scan pattern planning and control design issues journal June 2012
Characterization of LiMn 2 O 4 cathodes by electrochemical strain microscopy journal March 2016
Implementing an accurate and rapid sparse sampling approach for low-dose atomic resolution STEM imaging journal October 2016
Magnetic imaging by ‘‘force microscopy’’ with 1000 Å resolution journal May 1987
Intrinsic single-domain switching in ferroelectric materials on a nearly ideal surface journal December 2007
Evaluation of electrically polar substances by electric scanning force microscopy. Part I: Measurement signals due to maxwell stress journal March 1995
High-resolution characterization of piezoelectric ceramics by ultrasonic scanning force microscopy techniques journal October 2002
The band excitation method in scanning probe microscopy for rapid mapping of energy dissipation on the nanoscale journal September 2007
Adaptive probe trajectory scanning probe microscopy for multiresolution measurements of interface geometry journal June 2009
Atomic-resolution imaging in liquid by frequency modulation atomic force microscopy using small cantilevers with megahertz-order resonance frequencies journal March 2012
A comparison of reconstruction methods for undersampled atomic force microscopy images journal November 2015
Theoretical description of the transfer of vibrations from a sample to the cantilever of an atomic force microscope journal June 1997
Intelligent adaptive sampling guided by Gaussian process inference journal September 2017
A fast image reconstruction method based on Bayesian compressed sensing for the undersampled AFM data with noise journal January 2019
Enhancing the metrological performance of non-raster scanning probe microscopy using Gaussian process regression journal July 2019
Reconstruction of multi-frame semi-sparse scanning probe microscopy images using dependent Gaussian process journal January 2020
Impact of the tip radius on the lateral resolution in piezoresponse force microscopy journal January 2008
Ferrielectric ordering in lamellar CuInP 2 S 6 journal November 1997
Raman spectroscopy study of the ferrielectric-paraelectric transition in layered CuInP 2 S 6 journal October 1998
Probing the Role of Single Defects on the Thermodynamics of Electric-Field Induced Phase Transitions journal April 2008
Nanoscale Visualization and Control of Ferroelectric Domains by Atomic Force Microscopy journal May 1995
Giant negative electrostriction and dielectric tunability in a van der Waals layered ferroelectric journal February 2019
Non-raster sampling in atomic force microscopy: A compressed sensing approach conference June 2012
Rapid and Accurate $C$ – $V$ Measurements journal October 2016
Image Quality Assessment: From Error Visibility to Structural Similarity journal April 2004
High Speed SPM Applied for Direct Nanoscale Mapping of the Influence of Defects on Ferroelectric Switching Dynamics journal March 2012
Scanning Force Microscopy Studies of Domain Structure in B a T i O 3 Single Crystals journal April 1997
Non-equidistant scanning approach for millimetre-sized SPM measurements journal April 2012
Frequency Modulation Atomic Force Microscopy in Ionic Liquid Using Quartz Tuning Fork Sensors journal August 2012

Cited By (1)

Compressed Sensing for STM imaging of defects and disorder text January 2021

Similar Records

Imaging mechanism for hyperspectral scanning probe microscopy via Gaussian process modelling
Journal Article · Wed Mar 18 20:00:00 EDT 2020 · npj Computational Materials · OSTI ID:1608212

Electromechanical Detection in Scanning Probe Microscopy: Tip Models and Materials Contrast
Journal Article · Sun Dec 31 23:00:00 EST 2006 · Journal of Applied Physics · OSTI ID:931679

Nanoscale Electromechanics of Ferroelectric and Biological Systems: A New Dimension in Scanning Probe Microscopy
Journal Article · Sun Dec 31 23:00:00 EST 2006 · Annual Review of Material Science · OSTI ID:931689