Publikační výsledky

• 2024

  HRDINA, J.; VAŠÍK, P.; ERYGANOV, I.; JAN, M.; ADÁMEK, R.; JIŘÍ, P.; DALIBOR, P. Tactical behavior optimization for a UGV teams. In Proceedings of the International Defense and Homeland Security Simulation Workshop, DHSS. Italie: Cal-Tek srl, 2024. p. 1-6. ISBN: 9791281988057.
  Detail

  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

  HITZER, E.; KAMARIANAKIS, M.; PAPAGIANNAKIS, G.; VAŠÍK, P. Survey of new applications of geometric algebra. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, vol. 47, no. 14, p. 1-17. ISSN: 1099-1476.
  Detail

  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

  DEREVIANKO, A.; VAŠÍK, P. Search for Similarity Transformation Between Image Point Clouds Using Geometric Algebra for Conics. In Advanced Computational Applications of Geometric Algebra. Lecture Notes in Computer Science. CHAM: SPRINGER INTERNATIONAL PUBLISHING AG, 2024. p. 15-26. ISBN: 978-3-031-34031-4.
  Detail

  LOUČKA, P.; VAŠÍK, P. Algorithms for Conic Fitting Through Given Proper and Improper Waypoints in Geometric Algebra for Conics. Advances in Applied Clifford Algebras, 2024, vol. 34, no. 1, p. 1-22. ISSN: 1661-4909.
  Detail

  HRDINA, J.; VAŠÍK, P.; JAN, M.; ADÁMEK, R.; PHAM HUY, D.; BRUZZONE, A. Constructive wargaming simulation as a critical component of the tactical swarm configuration optimization. In International Defense and Homeland Security Simulation Workshop. Itálie: Cal-Tek srl, 2024. p. 1-6. ISBN: 9791281988057.
  Detail

  DEREVIANKO, A.; VAŠÍK, P. Solver-free optimal control for linear dynamical switched system by means of geometric algebra. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, vol. 47, no. 3, p. 1274-1288. ISSN: 0170-4214.
  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

  LOUČKA, P.; VAŠÍK, P. On Multi-conditioned Conic Fitting in Geometric Algebra for Conics. Advances in Applied Clifford Algebras, 2023, vol. 33, no. 3, 30 p. ISSN: 0188-7009.
  Detail

• 2022

  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

  BYRTUS, R.; DEREVIANKO, A.; VAŠÍK, P.; HILDENBRAND, D.; STEINMETZ, C. On Specific Conic Intersections in GAC and Symbolic Calculations in GAALOPWeb. Advances in Applied Clifford Algebras, 2022, vol. 32, no. 1, p. 1-21. ISSN: 0188-7009.
  Detail

• 2021

  LOUČKA, P.; VAŠÍK, P. Algorithms for Multi-conditioned Conic Fitting in Geometric Algebra for Conics. In Advances in Computer Graphics. Lecture Notes in Computer Science. Switzerland: Springer, Cham, 2021. p. 645-657. ISBN: 978-3-030-89028-5.
  Detail

  HRDINA, J.; NÁVRAT, A.; VAŠÍK, P.; DORST, L. Projective Geometric Algebra as a Subalgebra of Conformal Geometric algebra. Advances in Applied Clifford Algebras, 2021, vol. 31, no. 18, p. 1-13. ISSN: 0188-7009.
  Detail

• 2020

  BYRTUS, R.; DEREVIANKO, A.; VAŠÍK, P. Outline of Tube Elbow Detection Based on GAC. In Advances in Computer Graphics. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Switzerland: Springer Science and Business Media Deutschland GmbH, 2020. no. 12221, p. 482-491. ISBN: 978-3-030-61863-6.
  Detail

  HRDINA, J.; VAŠÍK, P.; PROCHÁZKA, J.; KUTĚJ, L.; ŠČUREK, R. The weighted core of games based on tactical decisions. In Modelling and Simulation for Autonomous Systems. Information Systems and Applications, incl. Internet/Web, and HCI. Switzerland: Springer Nature Switzerland AG, 2020. p. 244-252. ISBN: 978-3-030-43889-0.
  Detail

• 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.; NÁVRAT, A.; VAŠÍK, P. Conic Fitting in Geometric Algebra Setting. Advances in Applied Clifford Algebras, 2019, vol. 29, no. 4, p. 1-13. ISSN: 0188-7009.
  Detail

  HRDINA, J.; VAŠÍK, P.; NÁVRAT, A.; HILDENBRAND, D. Local Controllability of Snake Robots Based on CRA, Theory and Practice. Advances in Applied Clifford Algebras, 2019, vol. 30, no. 1, p. 1-21. ISSN: 0188-7009.
  Detail

• 2018

  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.; 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

  HRDINA, J.; NÁVRAT, A.; VAŠÍK, P. Notes on Planar Inverse Kinematics Based on Geometric Algebra. Advances in Applied Clifford Algebras, 2018, vol. 28, no. 3, p. 71-85. ISSN: 0188-7009.
  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.; NÁVRAT, A.; VAŠÍK, P. Geometric Algebra for Conics. Advances in Applied Clifford Algebras, 2018, vol. 28, no. 3, p. 66-87. ISSN: 0188-7009.
  Detail

• 2017

  HRDINA, J.; VAŠÍK, P.; HOLUB, M. Dual numbers arithmentic in multiaxis machine error modeling. MM Science Journal, 2017, vol. 2017, no. 1, p. 1769-1772. ISSN: 1803-1269.
  Detail

  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.; VAŠÍK, P.; NÁVRAT, A.; MATOUŠEK, R. CGA-based robotic snake control. Advances in Applied Clifford Algebras, 2017, vol. 27, no. 1, p. 621-632. ISSN: 0188-7009.
  Detail

  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

  HRDINA, J.; NÁVRAT, A.; VAŠÍK, P.; MATOUŠEK, R. Geometric Control of the Trident Snake Robot Based on CGA. Advances in Applied Clifford Algebras, 2017, vol. 27, no. 1, p. 633-645. ISSN: 0188-7009.
  Detail

  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

• 2016

  HRDINA, J.; VAŠÍK, P.; NÁVRAT, A. Control of 3-Link Robotic Snake Based on Conformal Geometric Algebra. Advances in Applied Clifford Algebras, 2016, vol. 26, no. 3, p. 1069-1080. ISSN: 0188-7009.
  Detail

• 2015

  HOLUB, M.; HRDINA, J.; VAŠÍK, P.; VETIŠKA, J. Three-axes error modeling based on second order dual numbers. Journal of Mathematics in Industry, 2015, vol. 5, no. 2, p. 1-11. ISSN: 2190-5983.
  Detail | Plný text v Digitální knihovně

  HRDINA, J.; VAŠÍK, P. Notes on differential kinematics in conformal geometric algebra approach. In Mendel 2015. Recent Advances in Soft Computing. Switzerland: Springer International Publishing, 2015. p. 363-374. ISBN: 978-3-319-19824-8.
  Detail

  HRDINA, J.; VAŠÍK, P.; MATOUŠEK, R. Special orthogonal matrices over dual numbers and their applications. Mendel Journal series, 2015, vol. 2015, no. 6, p. 121-126. ISSN: 1803-3814.
  Detail

• 2014

  HRDINA, J.; VAŠÍK, P. Dual Numbers Approach in Multiaxis Machines Error Modeling. Journal of Applied Mathematics, 2014, vol. 2014, no. 1, p. 1-6. ISSN: 1110-757X.
  Detail | Plný text v Digitální knihovně

  HRDINA, J.; VAŠÍK, P. Geometry of almost Cliffordian manifolds: classes of subordinated connections. TURKISH JOURNAL OF MATHEMATICS, 2014, vol. 38, no. 1, p. 179-190. ISSN: 1300-0098.
  Detail

  RAHULA, M.; VAŠÍK, P. Connections in control strategy. Proceedings of the Estonian Academy of Sciences, 2014, vol. 63, no. 1, p. 26-32. ISSN: 1736-6046.
  Detail | Plný text v Digitální knihovně

  RAHULA, M.; VAŠÍK, P. A note on jet and geometric approach to higher order connections. In Algebra, Geometry and Mathematical Physics. Springer Proceedings in Mathematics and Statistics. Germany: Springer - Verlag, 2014. p. 375-385. ISBN: 978-3-642-55360-8.
  Detail

• 2013

  HRDINA, J.; VAŠÍK, P. Semiholonomic second order connections associated to materia bodies. Journal of Applied Mathematics, 2013, vol. 2013, no. 1, p. 1-5. ISSN: 1110-757X.
  Detail

  VAŠÍK, P. Higher order connections on Lie groupoid: application to materials. Miskolc Mathematical Notes, 2013, vol. 14, no. 2, p. 705-711. ISSN: 1787-2405.
  Detail

• 2012

  HRDINA, J.; VAŠÍK, P. Generalized geodesics on almost Cliffordian geometries. Balkan Journal of Geometry and Its Applications, 2012, vol. 17 (2012), no. 1, p. 41-48. ISSN: 1224-2780.
  Detail

  RAHULA, M.; VAŠÍK, P.; VOICU, N. Tangent structures: sector-forms, jets and connections. Journal of Physics: Conference Series, 2012, vol. 2012, no. 346, p. 1-9. ISSN: 1742-6588.
  Detail

• 2011

  POLZER, A.; VAŠÍK, P. Progresivní frézování. In Vysoce přesné technologie obrábění; Programování moderních CNC strojů. 1. Brno: Ing. Vladislav Pokorný - LITERA Brno, 2011. s. 91-92. ISBN: 978-80-214-4352-5.
  Detail

  VAŠÍK, P. On third order semiholonomic prolongation of a connection. Banach Center Publications, 2011, vol. 93, no. 2011, p. 271-276. ISSN: 0137-6934.
  Detail

• 2010

  VAŠÍK, P. Transformations of semiholonomic 2 and 3-jets and semiholonomic prolongation of connections. Proceedings of the Estonian Academy of Sciences, 2010, vol. 59, no. 4, p. 375-380. ISSN: 1736-6046.
  Detail

  HRDINA, J.; KUREŠ, M.; VAŠÍK, P. A note on tame polynomial automorphisms and the security of TTM cryptosystem. Applied and Computational Mathematics, 2010, vol. 9, no. 2, p. 226-233. ISSN: 1683-3511.
  Detail

• 2007

  CIHLÁŘOVÁ, P.; VAŠÍK, P. Technologie výroby složitých tvarových nástrojů s využitím diferenciálního počtu. In FSI Junior konference 2006. Brno: FSI VUT v Brně, 2007. s. 16-20. ISBN: 978-80-214-3364-9.
  Detail

  VAŠÍK, P. On the Ehresmann Prolongation. Annales Universitatis Mariae Curie Sklodowska, 2007, vol. LXI, no. Sectio A, p. 145-153. ISSN: 0365-1029.
  Detail

• 2006

  VAŠÍK, P. Connections on Higher Order Principal Prolongations. Vědecké spisy Vysokého učení technického v Brně Edice PhD Thesis. Edice PhD Thesis. 2006. no. 375, p. 1-27. ISBN: 80-214-3196-2. ISSN: 1213-4198.
  Detail

  VAŠÍK, P.; PÍŠKA, M.; CIHLÁŘOVÁ, P. Parametrický popis ploch pomocí systému MAPLE. In Sborník z 15. seminářee Moderní matematické metody v inženýrství. Ostrava: VŠB - Technická univerzita OStrava, 2006. s. 211-215. ISBN: 80-248-1224-X.
  Detail

  VAŠÍK, P. Connections on higher order principal prolongations. Rendiconti del Circolo Matematico di Palermo, 2006, vol. 79, no. Suppl. 79, p. 183-192. ISSN: 0009-725X.
  Detail

• 2005

  CIHLÁŘOVÁ, P.; POLZER, A.; VAŠÍK, P. Komplexní analýza řezivostních vlastností moderních HSS fréz. In FSI Junior konference 2004. Brno: FSI VUT v Brně, 2005. s. 10-14. ISBN: 80-214-2934-8.
  Detail

  PÍŠKA, M., POLZER, A. Analýza plochy řezu vznikající při obrábění frézou s kulovým čelem. In Moderní matematické metody v inženýrství. Ostrava: VŠB TU Ostrava, 2005. s. 214-217. ISBN: 80-248-0951-6.
  Detail

  POLZER, A.; CIHLÁŘOVÁ, P.; VAŠÍK, P. Elektronová fázová a strukturní analýza celokarbidových nástrojů. In FSI Junior konference 2004. Brno: FSI VUT v Brně, 2005. s. 1-6. ISBN: 80-214-2934-8.
  Detail

*) Citace se generují jednou za 24 hodin.