E. J. Coyle, J. H. Lin, and M. Gabbouj, "Optimal stack filtering and the estimation and structural approaches to image processing," IEEE Trans. Acoust., Speech, Signal Processing, vol. 37, no. 12, pp. 2037.  Home/Search   Document Not in Database   Summary   Related Articles   Check

....input data within a particular sample window, while discarding the original temporal order information. Several classes of rank order based filters have recently been developed which attempt to incorporate both the rank and temporal information within the input data. These include stack filters [1, 2, 3, 4] and weighted order statistic (WOS) filters [5, 6, 7, 8] In this paper we focus on the development of VLSI architectures for WOS filters. A WOS filter chooses an output based on the weighted ranks of the inputs within a window of samples. A WOS filter is described by y i = R th smallest of fW ....

E.J. Coyle, J-H Lin, and M. Gabbouj. Optimal stack filtering and the estimation and structural approaches to image processing. IEEE Trans. Acoust., Speech, and Signal Proc., 37(12), Dec. 1989.

....this results in, at least, N different observations producing identical outputs. Clearly, rank order based filters fail to exploit the temporal context of a sequence. Many generalizations of rank order filters have been proposed that incorporate some form of temporal information [2] 6] 7] [8]. Still, due to their constrained nature, these methods do not fully utilize the information contained in both the temporal and rank ordering of the observed data [9] Recently, several filtering methods that operate on the full information contained in the temporal to rank mapping, x 7 x r , ....

....; x 1 ) This symmetry, and the general case of arbitrary symmetries, are considered here as a further method for filter class reduction. Indeed, constraints are often placed of filters due to some a priori information such as structural constraints placed on median and stack filters [8], 15] 16] As it will be shown that temporal coloring equivalences can be formulated as symmetry constraints, and since P filters are simply a special case of RP filters, we need only consider the RP filter case. Next, the symmetry constraints are developed and the number of observation ....

E. J. Coyle, J.-H. Lin, and M. Gabbouj, "Optimal stack filtering and the estimation and structural approaches to image processing ", IEEE Trans. Acoust., Spch., and Sig. Proc., vol. 37, no. 12, Dec. 1989.

....can be expressed as permutation filters. The allowable partitions of SN in the permutation filter implementation, however, constitute a very small subset of total number of possible partitions. A larger class of filters, which include all weighted rank order filters as a subset, are stack filters [10, 28]. We will now show that stack filters are a proper subset of permutation filters. Also, for an arbitrary stack filter we give the partition H 2 Omega H that will result in an equivalent permutation filter. Stack filters are a large class of non linear filters based on the set of positive ....

....S (1; 0; 0) 1, which is a violation of the stacking constraint. 2 2.3 Reduced Set Permutation Filters As Theorem 2. 1 shows, the number of possible permutation filters grows very rapidly with the window size, even when compared to the number of possible stack filters, which is at least 2 2 N=2 [10]. With such a large class of filters it is often of interest to, in some logical manner, reduce the number of possible filters. The reduction of the class of permutation filters is the topic of several sequels to this paper [3, 5, 14] For completeness, we include here a brief discussion of one ....

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E. J. Coyle, J.--H. Lin, and M. Gabbouj, "Optimal stack filtering and the estimation and structural approaches to image processing," IEEE Transactions on Acoustics, Speech, and Signal Processing, vol 37, no. 12, December 1989.

....of both signs simultaneously. To achieve the desired visual effects, the weights in the mean absolute error criterion used to design the two filters are modified so the criterion more closely matches a perceptual error criterion. This approach is similar in spirit to that developed in [4] and [3], in which the error criterion was modified by appending structural goals. The use of a two stage filtering approach is new, however, as is the way in which the error criterion is modified. Experimental results indicate that this new approach achieves the desired visual effect. In fact, much ....

E.J. Coyle, J.-H. Lin and M. Gabbouj, "Optimal stack filtering and the estimation and structural approaches to image processing ", IEEE Trans. Acoustics, Speech, and Signal Proc., Vol. 37, pp.

No context found.

E. J. Coyle, J. H. Lin, and M. Gabbouj, "Optimal stack filtering and the estimation and structural approaches to image processing," IEEE Trans. Acoust., Speech, Signal Processing, vol. 37, no. 12, pp. 2037.

No context found.

E. J. Coyle, J. H. Lin, and M. Gabbouj, "Optimal stack filtering and the estimation and structural approaches to image processing," IEEE Trans. Acoust., Speech, Signal Processing, vol. 37, no. 12, pp. 2037.

No context found.

E. J. Coyle, J. H. Lin, and M. Gabbouj, "Optimal stack filtering and the estimation and structural approaches to image processing," IEEE Trans. Acoust., Speech, Signal Processing, vol. 37, pp. 2037.

No context found.

E. J. Coyle, J. H. Lin, and M. Gabbuoj, Optimal Stack Filtering and the Estimation and Structural Approaches to Image Processing, IEEE Transactions on Acoustics, Speech, and Signal Processing, 37, 1989, 2037-2066.

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