Geometric Configuration in Robot Kinematic Design
A lattice of geometries is presented and compared for representing some geometrical aspects of the kinematic design of robot systems and subsystems Three geometries (set theory, topology and projective geometry) are briefly explored in more detail in the context of three geometric configurations in robotics (robot groupings, robot connectivities and robot motion sensor patterns).
KeywordsSpan Tree Geometric Configuration Robot System Projective Geometry Kinematic Behaviour
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- Birkhoff G, MacLane S, (1965), A Survey of Modern Algebra (MacMillan, New York)Google Scholar
- Brooks R A, (1999), Cambrian Intelligence (MIT Press)Google Scholar
- Harvey I, Husbands P, Cliff D, Thomson A and Jakobi N, (1996), “Evolutionary Robotics at Sussex”, in Proc. ISRAM 96: Int. Symp. on Robotics & Manufacturing, Montpelier, FranceGoogle Scholar
- Klein F, (1939), Elementary Mathematics from an Advanced Standpoint (two volumes) (Noble) (Dover, New York edition, 1948)Google Scholar
- Meserve B E, (1955), Fundamental Concepts of Geometry (Dover, New York edition, 1983)Google Scholar
- Modenov P S and Parkhomenko A S, (1965a), Geometric Transformations, Volume 1: Euclidean and Affine Transformations (Academic Press, New York)Google Scholar
- Modenov P S and Parkhomenko A S, (1965b), Geometric Transformations, Volume 2: Projective Transformations (Academic Press, New York)Google Scholar
- Rindler W, (1966), Special Relativity (Oliver and Boyd)Google Scholar
- Weyl H, (1939), The Classical Groups, (Princeton, New Jersey)Google Scholar
- Wilson R J, (1996), Introduction to Graph Theory (Longman)Google Scholar