Paper Info
Title
Kinematic Interpretation of the Study Quadric's Ambient Space
Abstract
It is well known that real points of the Study quadric (sliced along a 3-dimensional generator space) correspond to displacements of the Euclidean 3-space. But we still lack of a kinematic meaning for the points of the ambient 7-dimensional projective space P-7. This paper gives one possible interpretation in terms of displacements of the Euclidean 4-space. From this point of view we also discuss the extended inverse kinematic map and motions corresponding to straight lines in P-7. Moreover we present an application of this interpretation in the context of interactive motion design.
Year
DOI
Venue
2017
10.1007/978-3-319-93188-3_1
Springer Proceedings in Advanced Robotics
Keywords
Field
DocType
Kinematic map,Study quadric,SE(4),Circular Darboux 2-Motion
Ambient space,Inverse,Kinematics,Mathematical analysis,Motion graphic design,Euclidean geometry,Quadric,Mathematics,Projective space
Journal
Volume
ISSN
Citations 
8
2511-1256
1
PageRank 
References 
Authors
0.38
1
1
Name
Order
Citations
PageRank
Georg Nawratil1225.94