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 -