Abstract
In this chapter we will consider two recent applications of concepts and techniques from algebraic geometry in areas of computer science. First, continuing a theme introduced in several examples in Chapter 1, we will develop a systematic approach that uses algebraic varieties to describe the space of possible configurations of mechanical linkages such as robot “arms.” We will use this approach to solve the forward and inverse kinematic problems of robotics for certain types of robots.
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© 1992 Springer Science+Business Media New York
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Cox, D., Little, J., O’Shea, D. (1992). Robotics and Automatic Geometric Theorem Proving. In: Ideals, Varieties, and Algorithms. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-2181-2_6
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DOI: https://doi.org/10.1007/978-1-4757-2181-2_6
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4757-2183-6
Online ISBN: 978-1-4757-2181-2
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