Image Processing Reference
In-Depth Information
optimum filter. It has also shown that nonincreasing filters may be computed
through morphology in a way that is equivalent to the hit-or-miss transform. These
filters can have either a direct or differencing filter form, and examples of their im-
plementation in digital logic have been given. Finally, a justification of the ap-
proaches presented in terms of classical statistics has been presented.
References
1
J. Serra,
Image Analysis and Mathematical Morphology
, Academic Press, New
London (1982).
2
J. Serra,
Image Analysis and Mathematical Morphology
, vol. 2, Academic
Press, New York (1988).
3
H. J. Heijmans,
Morphological Operators
, Academic Press, New York (1994).
4
G. Matheron,
Random Sets and Integral Geometry
, Wiley, New York (1975).
P. Soille,
Morphological Image Analysis
,2
nd
ed., Springer, New York (2003).
5
6
E. R. Dougherty and J. Barrera, “Logical image operators,” in
Nonlinear Fil-
ters for Image Processing
, E. Dougherty and J. Astola (eds.), 1-60, SPIE Press,
Bellingham, WA (1999).
7
M. Sonka, V. Hlavac, R. Boyle,
Image Processing, Analysis and Machine Vi-
sion
, London, Chapman Hall (1993).
8
E. R. Dougherty, “Translation-invariant set operators,” in
Nonlinear Filters for
Image Processing
, E. R. Dougherty and J. Astola (eds.), 99-120, SPIE Press,
Bellingham, WA (1999).
