Differential approximation of the 2-D laplace operator for edge detection in digital images

Abstract

The paper presents the application of finite difference edge detection in digital images. For edge detection we use several methods. One of them is a method based on Laplace operator. This paper presents a differential approximation of the two-dimensional Laplace operator. The paper proposes a differential approximation, Laplace operator, based on 9-th lattice mask. Coefficients were determined using the Z transform. Optimization is based on the criterion of maximal compatibility differential approximation of Laplace filter with ideal. Mask parameters were chosen based on the analysis of the error function. Activity obtained filter has been tested on a digital image that contains many elements of geometry. © 2010 Springer-Verlag Berlin Heidelberg.