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Erschienen in:
1992 | OriginalPaper | Buchkapitel
Robotics and Automatic Geometric Theorem Proving
verfasst von : David Cox, John Little, Donal O’Shea
Erschienen in: Ideals, Varieties, and Algorithms
Verlag: Springer New York
Enthalten in: Professional Book Archive
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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.