An on-line orthogonal wavelet denoising algorithm for high-resolution surface scans

Research output: Journal contributionsJournal articlesResearchpeer-review

Authors

This paper deals with noise detection and threshold free on-line denoising procedure for discrete scanning probe microscopy (SPM) surface images using wavelets. In this sense, the proposed denoising procedure works without thresholds for the localisation of noise, as well for the stop criterium of the algorithm. In particular, a proposition which states a constructive structural property of the wavelets tree with respect to a defined seminorm has been proven for a special technical case. Using orthogonal wavelets, it is possible to obtain an efficient localisation of noise and as a consequence a denoising of the measured signal. An on-line denoising algorithm, which is based upon the discrete wavelet transform (DWT), is proposed to detect unavoidable measured noise in the acquired data. With the help of a seminorm the noise of a signal is defined as an incoherent part of a measured signal and it is possible to rearrange the wavelet basis which can illuminate the differences between its coherent and incoherent part. In effect, the procedure looks for the subspaces consisting of wavelet packets characterised either by small or opposing components in the wavelet domain. Taking real measurements the effectiveness of the proposed denoising algorithm is validated and compared with Gaussian FIR- and Median filter. The proposed method was built using the free wavelet toolboxes from the WaveLab 850 library of the Stanford University (USA).

Original languageEnglish
JournalJournal of the Franklin Institute
Volume355
Issue number18
Pages (from-to)9245-9270
Number of pages26
ISSN0016-0032
DOIs
Publication statusPublished - 12.2018

Recently viewed

Publications

  1. Modeling and Performance Analysis of a Node in Fault Tolerant Wireless Sensor Networks
  2. Throttle valve control using an inverse local linear model tree based on a Fuzzy neural network
  3. Setting controller parameters through a minimum strategy with a weighted least squares method
  4. Supervised clustering of streaming data for email batch detection
  5. Comparing Two Voltage Observers in a Sensorsystem using Repetitive Control
  6. Using haar wavelets for fault detection in technical processes
  7. Analysis of priority rule-based scheduling in dual-resource-constrained shop-floor scenarios
  8. An MPC for an Aggregate Actuator with a Self-Tuning Feedforward Control
  9. A Lightweight Simulation Model for Soft Robot's Locomotion and its Application to Trajectory Optimization
  10. Optimal trajectory generation using MPC in robotino and its implementation with ROS system
  11. Neural Combinatorial Optimization on Heterogeneous Graphs
  12. Inverting the Large Lecture Class: Active Learning in an Introductory International Relations Course
  13. Finding Similar Movements in Positional Data Streams
  14. Digital Control of a Camless Engine Using Lyapunov Approach with Backward Euler Approximation
  15. Different approaches to learning from errors: Comparing the effectiveness of high reliability and error management approaches
  16. Cross-document coreference resolution using latent features
  17. Methodologies for Noise and Gross Error Detection using Univariate Signal-Based Approaches in Industrial Application
  18. Ant colony optimization algorithm and artificial immune system applied to a robot route
  19. Development of a Didactic Graphical Simulation Interface on MATLAB for Systems Control
  20. Random measurement and prediction errors limit the practical relevance of two velocity sensors to estimate the 1RM back squat
  21. A Quadrant Approach of Camera Calibration Method for Depth Estimation Using a Stereo Vision System
  22. Homogenization modeling of thin-layer-type microstructures
  23. Evaluation of Time/Phase Parameters in Frequency Measurements for Inertial Navigation Systems
  24. A discrete approximate solution for the asymptotic tracking problem in affine nonlinear systems
  25. Neural network-based adaptive fault-tolerant control for strict-feedback nonlinear systems with input dead zone and saturation
  26. Multi-Parallel Sending Coils for Movable Receivers in Inductive Charging Systems
  27. The Use of Factorization and Multimode Parametric Spectra in Estimating Frequency and Spectral Parameters of Signal
  28. Perfect anti-windup in output tracking scheme with preaction
  29. Control of the inverse pendulum based on sliding mode and model predictive control
  30. Enhancing Performance of Level System Modeling with Pseudo-Random Signals
  31. Using Complexity Metrics to Assess Silent Reading Fluency
  32. Continuous 3D scanning mode using servomotors instead of stepping motors in dynamic laser triangulation
  33. Analyzing different types of moderated method effects in confirmatory factor models for structurally different methods
  34. Using the flatness of DC-Drives to emulate a generator for a decoupled MPC using a geometric approach for motion control in Robotino
  35. Dynamic Lot Size Optimization with Reinforcement Learning
  36. On robustness properties in permanent magnet machine control by using decoupling controller
  37. Classical PI Controllers with Anti-Windup Techniques Applied on Level Systems
  38. A model predictive control in Robotino and its implementation using ROS system
  39. Introducing parametric uncertainty into a nonlinear friction model
  40. Stepwise-based optimizing approaches for arrangements of loudspeaker in multi-zone sound field reproduction
  41. A geometric approach for controlling an electromagnetic actuator with the help of a linear Model Predictive Control
  42. A localized boundary element method for the floating body problem
  43. Mapping interest rate projections using neural networks under cointegration
  44. The Influence of Note-taking on Mathematical Solution Processes while Working on Reality-Based Tasks
  45. Robust Flatness Based Control of an Electromagnetic Linear Actuator Using Adaptive PID Controller
  46. Gaussian processes for dispatching rule selection in production scheduling
  47. Performance analysis for loss systems with many subscribers and concurrent services
  48. Comments on "Tracking Control of Robotic Manipulators With Uncertain Kinematics and Dynamics"
  49. A guided simulated annealing search for solving the pick-up and delivery problem with time windows and capacity constraints
  50. An analytical approach to evaluating bivariate functions of fuzzy numbers with one local extremum