Abstract:We introduce rotation addition and motion addition. In this way, motions replace unit dual quaternions to represent rigid body movements in the 3D space. The infinitesimal unit is no longer needed. By means of motion addition, we formulate two classical problems in robot research, i.e., the hand-eye calibration problem and the simultaneous localization and mapping (SLAM) problem as motion optimization problems, which are actually real unconstrained optimization problems. In particular, it avoids to go through … Show more
Set email alert for when this publication receives citations?
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.