On canal surfaces in 3

Abstract

In this paper we deal with the geometric properties of canal surfaces in $Bbb{E}^ 3$. Further, the first and second fundamental form of canal surfaces are presented. By the use of the second fundamental form, the Gaussian and mean curvature of canal surfaces are obtained. Finally, the visualization of canal surfaces which their spine curves are unit circle and a straight line are presented.

In this paper we deal with the geometric properties of canal surfaces in $Bbb{E}^ 3$. Further, the first and second fundamental form of canal surfaces are presented. By the use of the second fundamental form, the Gaussian and mean curvature of canal surfaces are obtained. Finally, the visualization of canal surfaces which their spine curves are unit circle and a straight line are presented.