Wear particles are three-dimensional objects. Recent advances, accelerated
by the application of computer technology, allow numerical characterization
of particle shape in two dimensions. However, three-dimensional (3D) chara
cterization of wear particle surface topography is still largely an unresol
ved problem. There are two issues associated with this problem, i.e., the a
cquisition of accurate wear particle surface topography data and the numeri
cal description of 3D surface features. The usually small size of wear part
icles restricts the techniques that could be used to acquire accurate data
from the particle surface. Surface profilometers, e.g., Talysurf, the instr
uments traditionally used in surface topography imaging, cannot be used bec
ause of the small size of particles. The limitation of an atomic force micr
oscope is its relatively small vertical range, while the horizontal resolut
ion of laser confocal or interferometric microscopes is too low to obtain a
ccurate particle surface topography data. The application of a combination
of SEM and stereoscopy techniques seems to alleviate this problem. 3D surfa
ce topography data obtained using this technique can be processed and prese
nted in many different ways. The usefulness of various methods of surface d
ata representation in visualization and numerical characterization of wear
particle surfaces is discussed. One of the major difficulties associated wi
th the characterization of surface topographies is the accurate description
of surface spatial properties, i.e., their anisotropy and directionality.
Recently, a specially modified Hurst Orientation Transform (HOT), to suit w
ear particle surface data, has been developed and applied to characterize t
he surface topography of particles. The Hurst coefficients are related to f
ractal dimensions and are a measure of surface roughness, i.e., a rougher s
urface is represented by lower Hurst coefficients. It was found that the mo
dified HOT can be applied to reveal the surface anisotropy of wear particle
s. Although none of the other methods developed so far allow such a thoroug
h characterization of wear particle surfaces as does the modified HOT, this
method still does not provide a full description of the surface topography
. Therefore, it appears that a totally different approach is needed in orde
r to make a fundamental breakthrough in the characterization of wear partic
le surfaces. Since many of the complex structures observed in nature can be
described and modelled by a combination of simple mathematical rules, it m
ay be possible to describe the surface of a particle by a set of such rules
. In our first attempt, a Partitioned Iterated Function System (PIFS) was a
pplied to encode the wear particle surface topography information. This inf
ormation can then be used to calculate the relevant surface descriptors. In
this paper, an overview of recent advances and developments in the numeric
al characterization of wear particle surfaces is presented. (C) 1999 Elsevi
er Science S.A. All rights reserved.