The use of strictly causal filters in the approximation of two-dimensional asymmetric half-plane filters

Hinamoto, Takao; Venetsanopoulos, A.N.

doi:10.1109/tcs.1985.1085806

IEEE Trans. Circuits Syst.

1985

DOI: 10.1109/tcs.1985.1085806

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The use of strictly causal filters in the approximation of two-dimensional asymmetric half-plane filters

Takao Hinamoto

A.N. Venetsanopoulos

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1989

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Cited by 11 publications

References 8 publications

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Pseudopassive two‐dimensional recursive digital filters for image processing

Domański

Fettweis

1989

Circuit Theory & Apps

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SUMMARYThis paper describes the theory of two-dimensional digital filters that are pseudopassive with respect to the &-norm of the state vector. As the classical pseudopassive digital filters are a subclass of these filters, the respective theorems referred to stability are also generalized. It is shown that this theory is useful for the two-dimensional filters that answer with non-negative-valued responses to non-negative-valued excitations. Such systems are especially suitable for image processing. The synthesis of the It-pseudolossless systems is proposed as a tool to guarantee stability of such filters. A technique to obtain local state-space models for such two-dimensional Il-pseudolossless recursive filters with prescribed spatial responses is given. A 'Gaussian filter' design illustrates the technique and shows that the proposed two-dimensional Il-pseudolossless filters are able to match useful spatial responses.

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Pseudopassive two‐dimensional recursive digital filters for image processing

Domański

Fettweis

1989

Circuit Theory & Apps

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Design of two‐dimensional pseudolossless digital filters with prescribed spatial responses

Domański

1989

Circuit Theory & Apps

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The paper presents a technique to compute the parameters of the state-space model of the two-dimensional pseudolossless (e.g. wave or orthogonal) digital filter that best approximates a given spatial response. The search for the optimal solution is performed using an unconstrained optimization algorithm with reduced number of parameters. The optimization variables are the elements of the upper triangle of a skew-symmetric matrix which is related to the orthogonal system matrix by the Cayley formula. Thus the resulting system is always stable.

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Xiao

Venetsanopoulos

Agathoklis

1999

Multidimensional Systems and Signal Processing

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The use of strictly causal filters in the approximation of two-dimensional asymmetric half-plane filters

Cited by 11 publications

References 8 publications

Pseudopassive two‐dimensional recursive digital filters for image processing

Pseudopassive two‐dimensional recursive digital filters for image processing

Design of two‐dimensional pseudolossless digital filters with prescribed spatial responses

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