Abstract
This paper presents a method for kinematic generation of free-form ruled surfaces. The method is based on the kinematic displacement of lines. The ruled surfaces are represented as curves on a dual unit sphere. The curves are created by using the Lie Group structure of the dual space to generate dual displacement matrices for the lines. Free-form surfaces are created by repeated geodesic interpolation using the displacement matrices. An application for these surfaces is presented in five-axis cylindrical milling.
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Sprott, K., Ravani, B. Kinematic Generation of Ruled Surfaces. Advances in Computational Mathematics 17, 115–133 (2002). https://doi.org/10.1023/A:1015211729988
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DOI: https://doi.org/10.1023/A:1015211729988