Representation of generalized circular surfaces as rigid body motions
Selahattin Aslan,
Murat Bekar,
Yusuf Yaylı
Abstract:In this paper, we introduce generalized circular surfaces, a generalization of generalized tube surfaces and circular surfaces. Moreover, we define a special dual quaternion by using the moving frame along the spine curve of generalized circular surface. We then show that the screw motion obtained by this dual quaternion can be used to construct generalized circular surfaces. We also prove that these generalized circular surfaces can be expressed by homothetic motions. Finally, we provide some examples of gene… 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.