R. Gray and L. Davisson, Random Processes{A Mathematical Approach for Engineers, Englewood Cli s, NJ: Prentice-Hall, Inc. 1986. Home/Search Document Not in Database Summary Related Articles Check |
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Stochastic Model Based Image Analysis - Wang, Adali (2000) (Correct)
....density approaches a truncated Gaussian when the SNR is relatively high [27] Reference [24] also shows that noise at each pixel is approximately following a Gaussian distribution in the modulus images. 2.2. 2 Dependence According to second order moment input output relations of linear systems [31], the covariance function of the convolved linear magnetic resonance coecients can be expressed as K f ( k; l) k 0 ; l 0 ) K ( k; l) k 0 ; l 0 ) h ( k; l) k 0 ; l 0 ) h( k; l) k 0 ; l 0 ) 1) where denotes continuous linear convolution, and K ( is ....
.... f(i; j) will be R f ( k; l) k 0 ; l 0 ) E[ f(k; l) f(k 0 ; l 0 ) 2 exp( d) h ( d) h( d) C 2 1 (k 6= k 0 ; l 6= l 0 ) C 2 C 2 1 (k = k 0 ; l = l 0 ) 8) Since correlation only depends on the spatial index di erence, according to reference [31], f(i; j) is a stationary eld in the wide sense, and also in the strict sense. By assuming that an MR image contains several distinct regions, we state stationarity as follows: Property 3: Given an MR image, each region is stationary. The whole image is piecewise stationary. 6 2.2.4 ....
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R. Gray and L. Davisson, Random Processes{A Mathematical Approach for Engineers, Englewood Cli s, NJ: Prentice-Hall, Inc. 1986.
Navigation With Uncertainty: II. Avoiding High Collision .. - Burlina, DeMenthon.. (1991) (Correct)
.... X n kjn ) PT i ] since we have P (r e ) 0 (21) and from the previous subsection we know that P (r e v u u t tr( Sigma X n kjn ) PT i ) 1 Gamma PT i (22) Let us now turn to the calculation of f Y ( Consider the distribution of the square of a Gaussian random variable A = Z 2 (see [8, 15]) This distribution is chi square and given by fA (a) 1 p a exp Gamma a 2oe 2 Z q 2 oe 2 Z : 23) We are interested in the distribution of Y , the sum of squares of two random variables. This distribution is chi square with two degrees of freedom. We obtain an explicit formula by ....
R.M. Gray and L.D. Davisson. Random Processes, A Mathematical Approach for Engineers. Prentice-Hall, Englewood Cliffs, NJ, 1986.
Navigation With Uncertainty: I. Reaching a Goal in a.. - Burlina, DeMenthon.. (1991) (1 citation) (Correct)
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R.M. Gray and L.D. Davisson. Random Processes, A Mathematical Approach for Engineers. Prentice-Hall, Englewood Cliffs, NJ, 1986.
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