Matches in SemOpenAlex for { <https://semopenalex.org/work/W1504544961> ?p ?o ?g. }
Showing items 1 to 100 of
100
with 100 items per page.
- W1504544961 abstract "Screw systems describe the infinitesimal motion of multi–degree-of-freedom rigid bodies, such as end-effectors of robot manipulators. While there exists an exhaustive classification of screw systems, it is based largely on geometrical considerations rather than algebraic ones. Knowledge of the polynomial invariants of the adjoint action of the Euclidean group induced on the Grassmannians of screw systems would provide new insight to the classification, along with a reliable identification procedure. However many standard results of invariant theory break down because the Euclidean group is not reductive. We describe three possible approaches to a full listing of polynomial invariants for 2–screw systems. Two use the fact that in its adjoint action, the compact subgroup SO(3) acts as a direct sum of two copies of its standard action on R3. The Molien–Weyl Theorem then provides information on the primary and secondary invariants for this action and specific invariants are calculated by analyzing the decomposition of the alternating 2–tensors. The resulting polynomials can be filtered to find those that are SE(3) invariants and invariants for screw systems are determined by considering the impact of the Pl¨ucker relations. A related approach is to calculate directly the decomposition of the symmetric products of alternating tensors. Finally, these approaches are compared with the listing of invariants by Selig based on the existence of two invariant quadratic forms for the adjoint action." @default.
- W1504544961 created "2016-06-24" @default.
- W1504544961 creator A5043974014 @default.
- W1504544961 creator A5058906861 @default.
- W1504544961 date "2006-01-01" @default.
- W1504544961 modified "2023-09-23" @default.
- W1504544961 title "Introduction to Polynomial Invariants of Screw Systems" @default.
- W1504544961 cites W1485633210 @default.
- W1504544961 cites W1496351075 @default.
- W1504544961 cites W1569977378 @default.
- W1504544961 cites W1597009130 @default.
- W1504544961 cites W1599833186 @default.
- W1504544961 cites W1967454856 @default.
- W1504544961 cites W1968369152 @default.
- W1504544961 cites W1973038667 @default.
- W1504544961 cites W1990574598 @default.
- W1504544961 cites W1990761007 @default.
- W1504544961 cites W2008900871 @default.
- W1504544961 cites W2038516709 @default.
- W1504544961 cites W2060108928 @default.
- W1504544961 cites W2072601999 @default.
- W1504544961 cites W2618510612 @default.
- W1504544961 cites W289820477 @default.
- W1504544961 cites W290527292 @default.
- W1504544961 cites W86290675 @default.
- W1504544961 hasPublicationYear "2006" @default.
- W1504544961 type Work @default.
- W1504544961 sameAs 1504544961 @default.
- W1504544961 citedByCount "1" @default.
- W1504544961 countsByYear W15045449612021 @default.
- W1504544961 crossrefType "journal-article" @default.
- W1504544961 hasAuthorship W1504544961A5043974014 @default.
- W1504544961 hasAuthorship W1504544961A5058906861 @default.
- W1504544961 hasConcept C118615104 @default.
- W1504544961 hasConcept C121332964 @default.
- W1504544961 hasConcept C129782007 @default.
- W1504544961 hasConcept C131715654 @default.
- W1504544961 hasConcept C134306372 @default.
- W1504544961 hasConcept C136119220 @default.
- W1504544961 hasConcept C173110770 @default.
- W1504544961 hasConcept C178790620 @default.
- W1504544961 hasConcept C185592680 @default.
- W1504544961 hasConcept C190470478 @default.
- W1504544961 hasConcept C19939924 @default.
- W1504544961 hasConcept C202444582 @default.
- W1504544961 hasConcept C2524010 @default.
- W1504544961 hasConcept C2780791683 @default.
- W1504544961 hasConcept C2781311116 @default.
- W1504544961 hasConcept C33923547 @default.
- W1504544961 hasConcept C37914503 @default.
- W1504544961 hasConcept C62520636 @default.
- W1504544961 hasConcept C63036529 @default.
- W1504544961 hasConcept C90119067 @default.
- W1504544961 hasConcept C92757383 @default.
- W1504544961 hasConceptScore W1504544961C118615104 @default.
- W1504544961 hasConceptScore W1504544961C121332964 @default.
- W1504544961 hasConceptScore W1504544961C129782007 @default.
- W1504544961 hasConceptScore W1504544961C131715654 @default.
- W1504544961 hasConceptScore W1504544961C134306372 @default.
- W1504544961 hasConceptScore W1504544961C136119220 @default.
- W1504544961 hasConceptScore W1504544961C173110770 @default.
- W1504544961 hasConceptScore W1504544961C178790620 @default.
- W1504544961 hasConceptScore W1504544961C185592680 @default.
- W1504544961 hasConceptScore W1504544961C190470478 @default.
- W1504544961 hasConceptScore W1504544961C19939924 @default.
- W1504544961 hasConceptScore W1504544961C202444582 @default.
- W1504544961 hasConceptScore W1504544961C2524010 @default.
- W1504544961 hasConceptScore W1504544961C2780791683 @default.
- W1504544961 hasConceptScore W1504544961C2781311116 @default.
- W1504544961 hasConceptScore W1504544961C33923547 @default.
- W1504544961 hasConceptScore W1504544961C37914503 @default.
- W1504544961 hasConceptScore W1504544961C62520636 @default.
- W1504544961 hasConceptScore W1504544961C63036529 @default.
- W1504544961 hasConceptScore W1504544961C90119067 @default.
- W1504544961 hasConceptScore W1504544961C92757383 @default.
- W1504544961 hasOpenAccess W1504544961 @default.
- W1504544961 hasRelatedWork W1584055365 @default.
- W1504544961 hasRelatedWork W1773116749 @default.
- W1504544961 hasRelatedWork W1976514750 @default.
- W1504544961 hasRelatedWork W1981885270 @default.
- W1504544961 hasRelatedWork W1987089341 @default.
- W1504544961 hasRelatedWork W2019905302 @default.
- W1504544961 hasRelatedWork W2038103974 @default.
- W1504544961 hasRelatedWork W2113635274 @default.
- W1504544961 hasRelatedWork W2152949170 @default.
- W1504544961 hasRelatedWork W2292905779 @default.
- W1504544961 hasRelatedWork W2518134993 @default.
- W1504544961 hasRelatedWork W2951125892 @default.
- W1504544961 hasRelatedWork W2952773286 @default.
- W1504544961 hasRelatedWork W2999959395 @default.
- W1504544961 hasRelatedWork W3047130513 @default.
- W1504544961 hasRelatedWork W3111339061 @default.
- W1504544961 hasRelatedWork W3145024926 @default.
- W1504544961 hasRelatedWork W3148929992 @default.
- W1504544961 hasRelatedWork W435868985 @default.
- W1504544961 hasRelatedWork W50127513 @default.
- W1504544961 isParatext "false" @default.
- W1504544961 isRetracted "false" @default.
- W1504544961 magId "1504544961" @default.
- W1504544961 workType "article" @default.