Short-arc measurement and fitting based on the bidirectional prediction of observed data

Research output: Journal contributionsJournal articlesResearchpeer-review

Authors

To measure a short arc is a notoriously difficult problem. In this study, the bidirectional prediction method based on the Radial Basis Function Neural Network (RBFNN) to the observed data distributed along a short arc is proposed to increase the corresponding arc length, and thus improve its fitting accuracy. Firstly, the rationality of regarding observed data as a time series is discussed in accordance with the definition of a time series. Secondly, the RBFNN is constructed to predict the observed data where the interpolation method is used for enlarging the size of training examples in order to improve the learning accuracy of the RBFNN's parameters. Finally, in the numerical simulation section, we focus on simulating how the size of the training sample and noise level influence the learning error and prediction error of the built RBFNN. Typically, the observed data coming from a 5 degrees short arc are used to evaluate the performance of the Hyper method known as the 'unbiased fitting method of circle' with a different noise level before and after prediction. A number of simulation experiments reveal that the fitting stability and accuracy of the Hyper method after prediction are far superior to the ones before prediction.
Original languageEnglish
Article number025013
Journal Measurement Science and Technology
Volume27
Issue number2
Number of pages19
ISSN0957-0233
DOIs
Publication statusPublished - 05.01.2016

    Research areas

  • Engineering - short-arc fitting, radial basis function neural network (RBFNN), time series prediction

Recently viewed

Publications

  1. Graph-Based Early-Fusion for Flood Detection
  2. Short and long-term dominance of negative information in shaping public energy perceptions
  3. Deconstructing and reconstructing diversity in client-provider-relationships of social work
  4. A New Approach for Optimal Solving Cyclic and Non-Cyclic Bus Drvier Rostering Problems
  5. Vielfalt des Alterns - Differenz oder Integration?
  6. An introduction to sliding mode control for interdisciplinary education
  7. The role of place in shaping responsibility logics
  8. On the Equivalence of Transmission Problems in Nonoverlapping Domain Decomposition Methods for Quasilinear PDEs
  9. Executive function and Language Learning
  10. Evaluating A Teaching-Learning Sequence (TLS) About Acid-Base Reactions In Upper Secondary School
  11. Developing robust field survey protocols in landscape ecology
  12. Managing Global Production Networks
  13. Finding Datasets in Publications: The University of Paderborn Approach
  14. Operational integration of EMIS and ERP systems
  15. A model of a servo piezo mechanical hydraulic actuator and its regulation using repetitive control
  16. Factored MDPs for detecting topics of user sessions
  17. How secondary-school students deal with issues of sustainable development in class*
  18. Programmierung einer DELTA-Roboterzelle nach PackML Standard
  19. ENVISIONING PROTECTED AREAS THROUGH PARTICIPATORY SCENARIO PLANNING: NAVIGATING COVERAGE AND EFFECTIVENESS CHALLENGES AHEAD
  20. Extension of SEIR compartmental models for constructive Lyapunov control of COVID-19 and analysis in terms of practical stability
  21. Combining Model Predictive and Adaptive Control for an Atomic Force Microscope Piezo-Scanner-Cantilever System
  22. A Control of an Electromagnetic Actuator Using Model Predictive Control
  23. Investigating quality raters' performance using interface evaluation methods
  24. Effects of plyometric training on postural control in static and dynamic testing situations
  25. Distributable Modular Software Framework for Manufacturing Systems
  26. Emancipative Values and Non-violent Protest
  27. Public Value: rethinking value creation
  28. Enacting migration through data practices
  29. Learning from Erroneous Examples
  30. Within-individual leaf trait variation increases with phenotypic integration in a subtropical tree diversity experiment
  31. Principals between exploitation and exploration
  32. Leaf trait variation within individuals mediates the relationship between tree species richness and productivity
  33. Embarrassment as a public vs. private emotion and symbolic coping behaviour