Digital Geometry in Image Processing

Preface

In a digital image, each element has an integral coordinate position and has

a finite set of points in its neighborhood. On the other hand, a point in a

Euclidean space has an infinite number of ne ighb oring points. This indicates

that the geometry in the digital image space is non-Euclidean. One must study

this geometry and its approximation to the Euclidean world, to correlate the

measurements and shape of g eometric objects with our common notion of Eu-

clidean g eometry. The geometry in the digital space is called digital geometry.

However, one should note that this geometry is not unique. In different ways,

digital geometry may be defined