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Some Applications of Gröbner Bases in Robotics and Engineering

  • Rafał AbłamowiczEmail author
Chapter

Abstract

Gröbner bases in polynomial rings have numerous applications in geometry, applied mathematics, and engineering. We show a few applications of Gröbner bases in robotics, formulated in the language of Clifford algebras, and in engineering to the theory of curves, including Fermat and Bézier cubics, and interpolation functions used in finite element theory.

Keywords

Interpolation Function Triangular Element Clifford Algebra Geometric Algebra Monomial Ideal 
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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Copyright information

© Springer-Verlag London 2010

Authors and Affiliations

  1. 1.Department of MathematicsTennessee Technological UniversityCookevilleUSA

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