Factorization of Motion Polynomials

Abstract

In this paper, we consider the existence of a factorization of a monic, bounded motion polynomial. We prove existence of factorizations, possibly after multiplication with a real polynomial and provide algorithms for computing polynomial factor and factorizations. The first algorithm is conceptually simpler but may require a high degree of the polynomial factor. The second algorithm gives an optimal degree.

References in corpus (1)

• Spatial Straight Line Linkages by Factorization of Motion Polynomials

Cited by in corpus (4)

• Planar Linkages Following a Prescribed Motion
• From the Fundamental Theorem of Algebra to Kempe's Universality Theorem
• Factorization of Rational Motions: A Survey with Examples and Applications
• Factorization Results for Left Polynomials in Some Associative Real Algebras: State of the Art, Applications, and Open Questions