2012/02/29 by Gábor Hegedüs, Josef Schicho, Hans-Peter Schröcker · 74 citations
Computer Science · Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #Algebra over a field #Algebraic and Geometric Analysis #Algorithm #Factorization #Mathematics #Pure mathematics #Quadric #cs.RO #math.AG #math.RA #msc:12D05 #msc:51J15 #msc:68T40
paper · pdf · doi:10.1016/j.mechmachtheory.2013.05.010
published in Mechanism and Machine Theory 69, 142-152 (Elsevier BV) · Changed arxiv abstract, corrected some types
arxiv created 2012/05/09 · openalex publication_date 2013/06/25 · arxiv updated 2013/07/02 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Given a generic rational curve C in the group of Euclidean displacements we construct a linkage such that the constrained motion of one of the links is exactly C. Our construction is based on the factorization of polynomials over dual quaternions. Low degree examples include the Bennett mechanisms and contain new types of overconstrained 6R-chains as sub-mechanisms.