1 research outputs found
Kinematic interpretation of the Study quadric's ambient space
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 . 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, motions
corresponding to straight lines in and linear complexes of
SE(3)-displacements. Moreover we present an application of this interpretation
in the context of interactive motion design.Comment: 10 pages, 2 figure