Browsing Ústav matematiky by Author "Hrdina, Jaroslav"

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  • Dual Numbers Approach in Multiaxis Machines Error Modeling 

    Hrdina, Jaroslav; Vašík, Petr (Hindawi, 2014-06-01)
    Multiaxis machines error modeling is set in the context of modern differential geometry and linear algebra. We apply special classes of matrices over dual numbers and propose a generalization of such concept by means of ...

  • Local controllability of trident snake robot based on sub-Riemannian extremals 

    Hrdina, Jaroslav (Universit`a del Salento, 2017-05-24)
    To solve trident snake robot local controllability by differential geometry tools, we construct a privileged system of coordinates with respect to the distribution given by Pffaf system based on local nonholonomic conditions ...

  • Reconstruction of an ellipse from its raster image 

    Hrdina, Jaroslav; Pavlík, Jan (Academic Publications, Ltd, 2015-04-14)
    Motivated by practical application, we investigate the ways how to obtain a description of an ellipse whose circumscribed rectangle is known exactly and whose coordinates of touching points are known up to a certain ...

  • Three-axes error modeling based on second order dual numbers 

    Holub, Michal; Hrdina, Jaroslav; Vašík, Petr; Vetiška, Jan (Springer-Verlag, 2015-11-17)
    The aim of the paper is to employ the dual numbers in the multi axes machine error modelling in order to apply the algebraic methods in computations. The calculus of higher order dual numbers allows us to calculate with ...