2015/01/27 by Zijia Li, Li, Zijia, Tudor-Dan Rad +5
Computer Science · Engineering · Mathematics · #12D05 #70B10 #Dynamics and Control of Mechanical Systems #FOS: Computer and information sciences #FOS: Mathematics #Metric Geometry (math.MG) #Robotic Mechanisms and Dynamics #Robotic Path Planning Algorithms #Robotics (cs.RO) #cs.RO #math.MG #msc:12D05 #msc:70B10
paper · pdf · doi:10.48550/arxiv.1501.06862
To be published in the proceedings of The 14th IFToMM World Congress, Taipei, 2015
openalex publication_date 2015/01/27 · arxiv created 2015/06/29 · arxiv updated 2015/06/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Since its introduction in 2012, the factorization theory for rational motions quickly evolved and found applications in theoretical and applied mechanism science. We provide an accessible introduction to motion factorization with many examples, summarize recent developments and hint at some new applications. In particular, we provide pseudo-code for the generic factorization algorithm, demonstrate how to find a replacement linkage for a special case in the synthesis of Bennett mechanisms and, as an example of non-generic factorization, synthesize open chains for circular and elliptic translations.