Romansy 16 pp 55-62 | Cite as

Geometric Configuration in Robot Kinematic Design

  • Joe Rooney
Part of the CISM Courses and Lectures book series (CISM, volume 487)


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).


Span Tree Geometric Configuration Robot System Projective Geometry Kinematic Behaviour 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. Alexandroff P, (1961), Elementary Concepts of Topology (Dover Publications, New York)MATHGoogle Scholar
  2. Birkhoff G, MacLane S, (1965), A Survey of Modern Algebra (MacMillan, New York)Google Scholar
  3. Brooks R A, (1999), Cambrian Intelligence (MIT Press)Google Scholar
  4. Coxeter H S M, (1993), The Real Projective Plane (Springer-Verlag, Berlin)MATHGoogle Scholar
  5. 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
  6. Hausner M, (1965), A Vector Space Approach to Geometry (Dover Publications, New York)MATHGoogle Scholar
  7. Klein F, (1939), Elementary Mathematics from an Advanced Standpoint (two volumes) (Noble) (Dover, New York edition, 1948)Google Scholar
  8. Kreyszig E, (1959), Differential Geometry, (University of Toronto Press, Toronto) (Dover, New York edition, 1991)MATHGoogle Scholar
  9. Meserve B E, (1955), Fundamental Concepts of Geometry (Dover, New York edition, 1983)Google Scholar
  10. Modenov P S and Parkhomenko A S, (1965a), Geometric Transformations, Volume 1: Euclidean and Affine Transformations (Academic Press, New York)Google Scholar
  11. Modenov P S and Parkhomenko A S, (1965b), Geometric Transformations, Volume 2: Projective Transformations (Academic Press, New York)Google Scholar
  12. Porteous I R, (1969), Topological Geometry (Van Nostrand Reinhold, London)MATHGoogle Scholar
  13. Rindler W, (1966), Special Relativity (Oliver and Boyd)Google Scholar
  14. Weyl H, (1939), The Classical Groups, (Princeton, New Jersey)Google Scholar
  15. Wilson R J, (1996), Introduction to Graph Theory (Longman)Google Scholar
  16. Yale P B, (1968), Geometry and Symmetry (Holden-Day, San Francisco) (Dover, New York edition, 1988).MATHGoogle Scholar

Copyright information

© CISM, Udine 2006

Authors and Affiliations

  • Joe Rooney
    • 1
  1. 1.Faculty of TechnologyThe Open UniversityMilton KeynesUK

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