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Computational Kinematics ’95 pp 51–62Cite as

Elimination Methods for Spatial Synthesis

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Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 40))

Abstract

Many spatial, dimensional, position-synthesis problems lead to finite sets of solutions. In this paper, four such problems are presented. Two of these problems are solved using multihomogeneous resultant theory. The other two problems are solved using elimination strategy to obtain a solution based on rank reduction of a rectangular matrix of the form (A — λB). In the latter case, the appearance of linearly dependent equations during the elimination process is fully analyzed.

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References

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Author information

Authors and Affiliations

  1. Design Division, Mechanical Engineering Department, Stanford University, USA

    J. Nielsen & B. Roth

Authors
  1. J. Nielsen
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  2. B. Roth
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Editor information

Editors and Affiliations

  1. Institut National de Recherche en Informatique et en Automatique, Sophia Antipolis, France

    Jean-Pierre Merlet

  2. Department of Mechanical Engineering, University of California, Davis, California, USA

    Bahram Ravani

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© 1995 Springer Science+Business Media Dordrecht

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Nielsen, J., Roth, B. (1995). Elimination Methods for Spatial Synthesis. In: Merlet, JP., Ravani, B. (eds) Computational Kinematics ’95. Solid Mechanics and Its Applications, vol 40. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0333-6_6

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  • DOI: https://doi.org/10.1007/978-94-011-0333-6_6

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4147-8

  • Online ISBN: 978-94-011-0333-6

  • eBook Packages: Springer Book Archive

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