1. bookVolume 28 (2020): Issue 4 (December 2020)
    Special Issue: IMTech2020-INNOVATIVE MINING TECHNOLOGIES. Editors: Dariusz Prostański, Bartosz Polnik
Journal Details
First Published
30 Mar 2017
Publication timeframe
4 times per year
access type Open Access

The Method of High Accuracy Calculation of Robot Trajectory for the Complex Curves

Published Online: 17 Aug 2020
Page range: 247 - 252
Received: 01 Jan 2020
Accepted: 01 Jun 2020
Journal Details
First Published
30 Mar 2017
Publication timeframe
4 times per year

The geometric model accuracy is crucial for product design. More complex surfaces are represented by the approximation methods. On the contrary, the approximation methods reduce the design quality. A new alternative calculation method is proposed. The new method can calculate both conical sections and more complex curves. The researcher is able to get an analytical solution and not a sequence of points with the destruction of the object semantics. The new method is based on permutation and other symmetries and should have an origin in the internal properties of the space. The classical method consists of finding transformation parameters for symmetrical conic profiles, however a new procedure for parameters of linear transformations determination was acquired by another method. The main steps of the new method are theoretically presented in the paper. Since a double result is obtained in most stages, the new calculation method is easy to verify. Geometric modeling in the AutoCAD environment is shown briefly. The new calculation method can be used for most complex curves and linear transformations. Theoretical and practical researches are required additionally.


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