Recursive-in-order least-squares parameter estimation algorithm for 2-D noncausal Gaussian Markov random field model

1995 ◽  
Vol 14 (1) ◽  
pp. 87-110
Author(s):  
C. R. Zou ◽  
E. I. Plotkin ◽  
M. N. S. Swamy ◽  
Z. Y. He
Keyword(s):  
Parameter Estimation ◽  
Random Field ◽  
Least Squares ◽  
Markov Random Field ◽  
Field Model ◽  
Estimation Algorithm ◽  
Markov Random Field Model ◽  
Gaussian Markov Random Field ◽  
Markov Random ◽  
Parameter Estimation Algorithm

Conditional cyclic Markov random fields

1996 ◽  
Vol 28 (1) ◽  
pp. 1-12 ◽  
Author(s):  
John T. Kent ◽  
Kanti V. Mardia ◽  
Alistair N. Walder
Keyword(s):  
Random Field ◽  
Markov Random Field ◽  
Random Fields ◽  
Markov Random Fields ◽  
Field Model ◽  
Random Field Model ◽  
Markov Random Field Model ◽  
Gaussian Markov Random Field ◽  
Markov Random ◽  
Limiting Behaviour

Grenander et al. (1991) proposed a conditional cyclic Gaussian Markov random field model for the edges of a closed outline in the plane. In this paper the model is recast as an improper cyclic Gaussian Markov random field for the vertices. The limiting behaviour of this model when the vertices become closely spaced is also described and in particular its relationship with the theory of ‘snakes' (Kass et al. 1987) is established. Applications are given in Grenander et al. (1991), Mardia et al. (1991) and Kent et al. (1992).

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