doc. Mgr.

Petr Vašík

Ph.D.

FME, IM DAAG – Head of sub-department

+420 54114 2536
vasik@fme.vutbr.cz

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doc. Mgr. Petr Vašík, Ph.D.

Publications

  • 2021

    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: 1661-4909.
    Detail | WWW

  • 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. p. 482-491. ISBN: 978-3-030-61863-6.
    Detail | WWW

    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 | WWW

  • 2019

    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

    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.; 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

  • 2018

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

    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.; 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

    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.; 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.; 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 | 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

    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 | WWW | Full text in the Digital Library

    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 | WWW

    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

    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

    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

    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 | WWW | Full text in the Digital Library

    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. J APPL MATH, 2013, vol. 2013, no. 1, p. 1-5. ISSN: 1110- 757X.
    Detail | WWW

    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 | WWW

    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

    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

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

  • 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. p. 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. Supplemento ai Rendiconti del Circolo Matematico di Palermo, 2006, vol. 79, no. Suppl. 79, p. 183-192. ISSN: 0009- 725X.
    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. p. 211-215. ISBN: 80-248-1224- X.
    Detail

    VAŠÍK, P. Connections on Higher Order Principal Prolongations. Vědecké spisy Vysokého učení technického v Brně , Edice PhD Thesis. Edice PhD Thesis. 2006. p. 1-27. ISBN: 80-214-3196- 2. ISSN: 1213- 4198.
    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. p. 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. p. 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. p. 1-6. ISBN: 80-214-2934- 8.
    Detail

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