Publications

• 2024

  HRDINA, J.; VAŠÍK, P.; NÁVRAT, A.; ZALABOVÁ, L. A note on geometric algebras and control problems with SO(3)-symmetries. Mathematical Methods in the Applied Sciences, 2024, vol. 47, no. 3, p. 1257-1273. ISSN: 1099-1476.
  Detail | WWW

  ERYGANOV, I.; HRDINA, J.; NÁVRAT, A. Quantization of two- and three-player cooperative games based on QRA. Journal of Physics A: Mathematical and Theoretical, 2024, vol. 57, no. 42, p. 1-24. ISSN: 1751-8121.
  Detail | WWW

  VENTURA GIL, J.; MARTINEZ, F.; MANZANO-AGUGLIARO, F.; NÁVRAT, A.; HRDINA, J.; EID, A.; MONTOYA, F. A novel geometric method based on conformal geometric algebra applied to the resection problem in two and three dimensions. JOURNAL OF GEODESY, 2024, vol. 98, no. 6, p. 1-21. ISSN: 0949-7714.
  Detail | WWW | Full text in the Digital Library

  HRDINA, J.; VAŠÍK, P.; NÁVRAT, A.; ERYGANOV, I.; ALVES, R.; HILDENBRAND, D.; STEINMETZ, C.; LAVOR, C. Quantum Register Algebra: The Basic Concepts. In Advanced Computational Applications of Geometric Algebra. CHAM: SPRINGER INTERNATIONAL PUBLISHING AG, 2024. p. 112-122. ISBN: 978-3-031-34030-7.
  Detail

• 2023

  HRDINA, J.; VAŠÍK, P.; NÁVRAT, A.; ERYGANOV, I.; HILDENBRAND, D.; ALVES, R.; LAVOR, C.; STEINMETZ, C. Quantum Register Algebra: the mathematical language for quantum computing. Quantum Information Processing, 2023, vol. 22, no. 9, p. 1-27. ISSN: 1573-1332.
  Detail | WWW

• 2022

  HRDINA, J.; NÁVRAT, A.; ZALABOVÁ, L. On symmetries of a sub-Riemannian structure with growth vector (4,7). ANNALI DI MATEMATICA PURA ED APPLICATA, 2022, vol. 1, no. 1, p. 1-14. ISSN: 0003-4622.
  Detail | WWW

  HRDINA, J.; VAŠÍK, P.; NÁVRAT, A. Quantum computing based on complex Clifford algebras. Quantum Information Processing, 2022, vol. 21, no. 9, p. 1-21. ISSN: 1573-1332.
  Detail | WWW

• 2021

  HRDINA, J.; NÁVRAT, A.; ZALABOVÁ, L. Symmetries in geometric control theory using Maple. Mathematics and Computers in Simulation, 2021, vol. 190, no. 1, p. 474-493. ISSN: 0378-4754.
  Detail | WWW

  HRDINA, J.; NÁVRAT, A.; VAŠÍK, P.; DORST, L. Projective Geometric Algebra as a Subalgebra of Conformal Geometric algebra. ADV APPL CLIFFORD AL, 2021, vol. 31, no. 18, p. 1-13. ISSN: 0188-7009.
  Detail | WWW

• 2019

  HRDINA, J.; VAŠÍK, P.; NÁVRAT, A. GAC Application to Corner Detection Based on Eccentricity. In Advances in Computer Graphics. Lecture Notes in Computer Science. Switzerland: Springer Nature Switzerland AG 2019, 2019. p. 564-570. ISBN: 978-3-030-22513-1.
  Detail

  HRDINA, J.; VAŠÍK, P.; NÁVRAT, A.; HILDENBRAND, D. Local Controllability of Snake Robots Based on CRA, Theory and Practice. ADV APPL CLIFFORD AL, 2019, vol. 30, no. 1, p. 1-21. ISSN: 0188-7009.
  Detail | WWW

  HRDINA, J.; NÁVRAT, A.; VAŠÍK, P. Conic Fitting in Geometric Algebra Setting. ADV APPL CLIFFORD AL, 2019, vol. 29, no. 4, p. 1-13. ISSN: 0188-7009.
  Detail | WWW

• 2018

  HRDINA, J.; NÁVRAT, A.; VAŠÍK, P. Geometric Algebra for Conics. ADV APPL CLIFFORD AL, 2018, vol. 28, no. 3, p. 66-87. ISSN: 0188-7009.
  Detail | WWW

  HRDINA, J.; NÁVRAT, A.; VAŠÍK, P. Notes on Planar Inverse Kinematics Based on Geometric Algebra. ADV APPL CLIFFORD AL, 2018, vol. 28, no. 3, p. 71-85. ISSN: 0188-7009.
  Detail | WWW

  HRDINA, J.; NÁVRAT, A.; VAŠÍK, P.; MATOUŠEK, R. Fisheye correction by CGA non-linear transformation. Mathematical Methods in the Applied Sciences, 2018, vol. 41, no. 11, p. 4106-4116. ISSN: 1099-1476.
  Detail

  HRDINA, J.; NÁVRAT, A.; VAŠÍK, P. CRA-based robotic snake control. In Introduction to Geometric Algebra Computing. Boca Raton, USA: Chapman and Hall/CRC, 2018. p. 141-154. ISBN: 9781498748384.
  Detail

  HRDINA, J.; VAŠÍK, P.; MATOUŠEK, R.; NÁVRAT, A. Geometric algebras for uniform colour spaces. Mathematical Methods in the Applied Sciences, 2018, vol. 41, no. 11, p. 4117-4130. ISSN: 1099-1476.
  Detail | WWW

• 2017

  HRDINA, J.; NÁVRAT, A.; VAŠÍK, P.; MATOUŠEK, R. Local control of (4,5,7,8-10)-filtration snake robot via CGA. Mendel Journal series, 2017, vol. 23, no. 1, p. 157-162. ISSN: 1803-3814.
  Detail

  HRDINA, J.; NÁVRAT, A.; VAŠÍK, P.; MATOUŠEK, R. Geometric Control of the Trident Snake Robot Based on CGA. ADV APPL CLIFFORD AL, 2017, vol. 27, no. 1, p. 633-645. ISSN: 0188-7009.
  Detail | WWW

  HRDINA, J.; NÁVRAT, A. Binocular Computer Vision Based on Conformal Geometric Algebra. Advances in Applied Clifford Algebras, 2017, vol. 27, no. 3, p. 1945-1959. ISSN: 1661-4909.
  Detail | WWW

  HRDINA, J.; VAŠÍK, P.; NÁVRAT, A.; MATOUŠEK, R. CGA- based robotic snake control. ADV APPL CLIFFORD AL, 2017, vol. 27, no. 1, p. 621-632. ISSN: 0188-7009.
  Detail | WWW

  HRDINA, J.; MATOUŠEK, R.; NÁVRAT, A.; VAŠÍK, P. Nilpotent approximation of a trident snake robot controlling distribution. Kybernetika, 2017, vol. 53, no. 6, p. 1118-1130. ISSN: 0023-5954.
  Detail | WWW

  NÁVRAT, A.; VAŠÍK, P. On geometric control models of a robotic snake. Note di Matematica, 2017, vol. 37, no. Suppl. 1, p. 119-129. ISSN: 1123-2536.
  Detail | WWW

• 2016

  HRDINA, J.; VAŠÍK, P.; NÁVRAT, A. Control of 3-Link Robotic Snake Based on Conformal Geometric Algebra. ADV APPL CLIFFORD AL, 2016, vol. 26, no. 3, p. 1069-1080. ISSN: 0188-7009.
  Detail

• 2015

  NÁVRAT, A.; MATOUŠEK, R. Trident Snake Control Based on Conformal Geometric Algebra. In Mendel 2015: Recent Advances in Soft Computing. Advances in Intelligent Systems and Computing. AISC. Switzerland: Springer International Publishing, 2015. p. 375-385. ISBN: 978-3-319-19824- 8. ISSN: 2194-5357.
  Detail

  NÁVRAT, A.; KUBIENA, J. Control of the trident square robot. Mendel Journal series, 2015, vol. 2015, no. 6, p. 115-120. ISSN: 1803- 3814.
  Detail

*) Publications are generated once a 24 hours.