Abstract
One of the most successful applications of geometric calculus to engineering refers to robotics and computer vision. In this line, this chapter presents an overview of the main classical problems in robot kinematics and motion planning and explains how geometric calculus has been used to solve them by exploiting their algebraic and geometric properties (such as, for instance, that every isometry can be compactly represented, the geometric covariance, the properties of the rotor group and the bivector algebra). Besides, it also introduces recent open problems in robotics and explains how geometric calculus can be used to contribute to their solutions.
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Zaplana, I. (2021). New Perspectives on Robotics with Geometric Calculus. In: Xambó-Descamps, S. (eds) Systems, Patterns and Data Engineering with Geometric Calculi. SEMA SIMAI Springer Series(), vol 13. Springer, Cham. https://doi.org/10.1007/978-3-030-74486-1_1
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DOI: https://doi.org/10.1007/978-3-030-74486-1_1
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