Microscope Image Processing

branching angle, and number of nodes. These descriptors have been used in

numerous applications [36, 37].

Delaunay Triangulation In representing an object using Delaunay

triangulation (DT), edges are formed by joining pairs of points from the set

P ¼ p

1

, p

2

, ..., p

n

fg

in such a way that as many triangles as possible are

generated, but without any crossing lines. DT is a specific triangulation based

on locally equiangular triangles [38] and is normally derived from the Voronoi

partitioning of the object shape [39, 40]. The Voronoi diagram partitions the

object into disjoint regions such that each region R

i

is composed of a subset of

points p

i

and is defined as

R

i

¼ x: E

d

x, p

i

ðÞ< E

d

x, p

j



for all j 6¼ i (10:34)

where E

d

is the Euclidean distance (describe