TY - GEN
T1 - Discrete random sets
T2 - Image Algebra and Morphological Image Processing III
AU - Sidiropoulos, Nicholaos D.
AU - Baras, John S.
AU - Berenstein, C. A.
PY - 1992/12/1
Y1 - 1992/12/1
N2 - We consider digital binary images as realizations of a bounded discrete random set, a mathematical object which can be defined directly on a finite lattice. In this setting, we show that it is possible to move between two equivalent probabilistic model specifications. We formulate a restricted version of the discrete-case analog of a Boolean random set model, obtain its probability mass function, and employ some methods of Morphological image analysis to derive tools for its statistical inference.
AB - We consider digital binary images as realizations of a bounded discrete random set, a mathematical object which can be defined directly on a finite lattice. In this setting, we show that it is possible to move between two equivalent probabilistic model specifications. We formulate a restricted version of the discrete-case analog of a Boolean random set model, obtain its probability mass function, and employ some methods of Morphological image analysis to derive tools for its statistical inference.
UR - http://www.scopus.com/inward/record.url?scp=0027061039&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0027061039&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:0027061039
SN - 0819409421
T3 - Proceedings of SPIE - The International Society for Optical Engineering
SP - 32
EP - 43
BT - Proceedings of SPIE - The International Society for Optical Engineering
PB - Publ by Int Soc for Optical Engineering
Y2 - 19 July 1992 through 19 July 1992
ER -