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The number of PhDs in Abelium rises

Boštjan Kovač, a co-worker of Abelium, has successfully obtained the title Doctor of Science from the field of mathematics

The number of PhDs in Abelium rises

Boštjan Kovač, PhD

Boštjan Kovač received the title Doctor of Science at the Faculty of Mathematics and Physics, University of Ljubljana, with a successful defense of the doctoral dissertation entitled Geometric Approximation of Circular Arcs. In the PhD thesis several new methods for an approximation of the circular arc are presented. The first part represents asymptotically the best single-sided geometric approximation of order one (G1 ) according to the radial error. In the second part of the thesis curvature error is used instead of the radial one. In the dissertation dr. Kovač confirms that the derived methods still have the optimal approximation order according to the radial error, while the approximation order according to the curvature error is reduced by two as expected due to the second order derivatives. As it turns out the optimal approximation of the circular arc is always achieved when the error equally oscillates, that is why the last part of the thesis is dedicated to the methods of this type.