doc. Mgr.
Petr Vašík
Ph.D.
FME, IM DAAG – Head of sub-department
+420 54114 2536
vasik@fme.vutbr.cz
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 | WWW2020
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 | WWWHRDINA, 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 | WWW2019
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 | WWWHRDINA, 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 | WWWHRDINA, 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.
Detail2018
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.
DetailHRDINA, 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.
DetailHRDINA, 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 | WWWHRDINA, 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 | WWWHRDINA, 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 | WWW2017
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 | WWWNÁVRAT, 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 | WWWHRDINA, 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.
DetailHRDINA, 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 | WWWHRDINA, 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 | WWWHRDINA, 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 | WWW2016
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.
Detail2015
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 LibraryHRDINA, 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 | WWWHRDINA, 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.
Detail2014
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.
DetailHRDINA, 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.
DetailHRDINA, 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 LibraryRAHULA, 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.
Detail2013
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 | WWWVAŠÍK, P. Higher order connections on Lie groupoid: application to materials. Miskolc Mathematical Notes, 2013, vol. 14, no. 2,
p. 705-711. ISSN: 1787- 2405.
Detail2012
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 | WWWRAHULA, 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.
Detail2011
VAŠÍK, P. On third order semiholonomic prolongation of a connection. Banach Center Publications, 2011, vol. 93, no. 2011,
p. 271-276. ISSN: 0137- 6934.
DetailPOLZER, 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 | WWW2010
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.
DetailHRDINA, 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.
Detail2007
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.
DetailVAŠÍK, P. On the Ehresmann Prolongation. Annales Universitatis Mariae Curie Sklodowska, 2007, vol. LXI, no. Sectio A,
p. 145-153. ISSN: 0365- 1029.
Detail2006
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.
DetailVAŠÍK, 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.
DetailVAŠÍK, 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.
Detail2005
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.
DetailPÍŠKA, 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.
DetailPOLZER, 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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