Yoshiyuki Yashima

Modified Voronoi Diagram And Relative Neighbors On A Digitized Picture And Their Applications To Tissue Image Analysis

The Dirichlet tessellation (DT), the Voronoi diagram (VD) and the relative neighbor (RN) on a digitized picture plane are presented with their applications to image processing. In the past the DT and the VD were defined for a finite point set in the continuous space. Here the modified digital Dirichlet tessellation (MDDT), the modified digital Voronoi diagram (MDVD) and the modified digital relative neighbor (MDRN) are newly introduced as the counterparts of the DT, the VD and the RN defined for a finite set of connected components in a digitized binary picture. Two algorithms - a sequential type and a parallel type are given to obtain the MDDT and the MDVD. Experimental results are shown concerning applications of the MDDT, the MDVD, and the MDRN to image processing, which include texture analysis of microscopic images of pathological samples and region devision of chest x-ray images.