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Mathematical Aspects of Calibration by Diffeomorphisms Cover
Open Access
|Sep 2025

References

  1. Beg, M.F., Miller, M., Trouvé, A. and Younes, L. (2005). Computing large deformation metric mappings via geodesic flows of diffeomorphisms, International Journal of Computer Vision 61(2): 139–157.
  2. Bonilla, I., Mendoza, M., Campos-Delgado, D.U. and Hernández-Alfaro, D.E. (2018). Adaptive impedance control of robot manipulators with parametric uncertainty for constrained path-tracking, International Journal of Applied Mathematics and Computer Science 28(2): 363–374, DOI: 10.2478/amcs-2018-0027.
  3. Book, W.J. (1979). Analysis of massless elastic chains with servo controlled joints, Journal of Dynamic Systems, Measurement, and Control 101(3): 187–192.
  4. Bruveris, M. and Holm, D.D. (2015). Geometry of Image Registration: The Diffeomorphism Group and Momentum Maps, Springer, New York, pp. 19–56, DOI: 10.1007/978-1-4939-2441-72.
  5. Carmeli, C., De Vito, E. and Toigo, A. (2006). Vector valued reproducing kernel Hilbert spaces of integrable functions and Mercer theorem, Analysis and Applications 04(04): 377–408.
  6. Charlier, B., Feydy, J., Glaunès, J.A., Collin, F.-D. and Durif, G. (2021). Kernel operations on the GPU, with autodiff, without memory overflows, Journal of Machine Learning Research 22(74): 1–6.
  7. De Vito, E., Mücke, N. and Rosasco, L. (2021). Reproducing kernel Hilbert spaces on manifolds: Sobolev and diffusion spaces, Analysis and Applications 19(3): 363–396. Gadringer, S., Gattringer, H., Müller, A. and Naderer, R. (2020).
  8. Robot calibration combining kinematic model and neural network for enhanced positioning and orientation accuracy, IFAC-PapersOnLine 53(2): 8432–8437.
  9. Glaunès, J.A., Vaillant, M. and Miller, M.I. (2004). Landmark matching via large deformation diffeomorphisms on the sphere, Journal of Mathematical Imaging and Vision 20(1–2): 179–200.
  10. Holm, D.D., Schmah, T., Stoica, C. and Ellis, D.C.P. (2009). Geometric Mechanics and Symmetry: From Finite to Infinite Dimensions, Oxford University Press, Oxford.
  11. Nguyen, H.-N., Zhou, J. and Kang, H.-J. (2015). A calibration method for enhancing robot accuracy through integration of an extended Kalman filter algorithm and an artificial neural network, Neurocomputing 151(3): 996–1005.
  12. Orozco, R. and Ratajczak, A. (2025). Calibration by diffeomorphisms of robot manipulator kinematics: A novel approach, Bulletin of the Polish Academy of Sciences Technical Sciences 73(2): 153230.
  13. Pál, A., Vida, K., Mészáros, L. and Mező, G. (2015). Isotropic and anisotropic pointing models, Experimental Astronomy 41(1–2): 1–15.
  14. Saitoh, S. and Sawano, Y. (2016). Theory of Reproducing Kernels and Applications, Developments in Mathematics, 1st Edn, Springer, Singapore.
  15. Scraggs, Ch., Smith, T., Sawyer, D. and Davis, M. (2021). Development of a non-parametric robot calibration method to improve drilling accuracy, SAE International Journal of Advances and Current Practices in Mobility 3(3): 1152–1159, DOI: 10.4271/2021-01-0003.
  16. Tchoń, K. (1992). Calibration of manipulator kinematics: A singularity theory approach, IEEE Transactions on Robotics and Automation 8(5): 671–678.
  17. Younes, L. (2019). Shapes and Diffeomorphisms, Applied Mathematical Sciences, Vol. 171, Springer, Berlin/Heidelberg.
  18. Zhao, G., Zhang, P., Ma, G. and Xiao, W. (2019). System identification of the nonlinear residual errors of an industrial robot using massive measurements, Robotics and Computer-Integrated Manufacturing 59: 104–114.
  19. Zhong, X., Lewis, J. and N-Nagy, F.L. (1996). Inverse robot calibration using artificial neural networks, Engineering Applications of Artificial Intelligence 9(1): 83–93.
DOI: https://doi.org/10.61822/amcs-2025-0027 | Journal eISSN: 2083-8492 | Journal ISSN: 1641-876X
Language: English
Page range: 391 - 402
Submitted on: Jul 24, 2024
Accepted on: Feb 25, 2025
Published on: Sep 8, 2025
Published by: University of Zielona Góra
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2025 Roberto Orozco, Joanna Ratajczak, published by University of Zielona Góra
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.