Discrete Curvature and Its Applications.

			     Atsushi Imiya
                 
                Chiba University, Faculty of Engineering

Abstract 

In this paper, we define digital curvature flow for spatial digital objects. 
We first define  the princial normal vector for each point 
on the digital boundray of an object in the three-dimensional discrete space. 
Digital curvature flow is defined as the motion of a boundary according to 
the principal normal vector on each point. 
Therefore, digital curvature flow is a digital version of curvature flow. 
Furthermore, this flow, which moves the boundary, could also be considered 
a discrete curvature flow on an isoteticpolyhedron, the edges 
of which are parallel to the axes of an  orthogonal coordinate system.