منابع مشابه
Generating Idempotent Filters
Idempotent filters produce a root signal in a single filter pass, i.e., the filter output is invariant to further filterings with the same filter. In this paper median based idempotent filter structures are introduced. Two approaches to generate these filters are studied: weighted median filters and median filter cascades. Two subclasses of n-dimensional idempotent weighted median filters, call...
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Idempotent nonlinear filters may be viewed as extensions of the class of (non-realizable) ideal linear filters, and one of their characteristic features is that they reduce any input sequence {x k } to a root after one pass. This paper explores some new constructions of idempotent nonlinear filters, using ideas from algebraic category theory, which provides a natural basis for considering casca...
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Viewing the elements of R as images f with pixels i∈ S of grey-scale value f(i) motivates the study of certain nonlinear operators :R → R . For translation invariant (called stack #lters in the signal processing literature) we derive the #rst necessary and su1cient condition for idempotency which can be tested in polynomial time. Various related properties can be tested in polynomial time as we...
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In this paper, we present a comprehensive analysis of selfdual and m-idempotent operators. We refer to an operator as midempotent if it converges after m iterations. We focus on an important special case of the general theory of lattice morphology: Spatiallyvariant morphology, which captures the geometrical interpretation of spatially-variant structuring elements. We demonstrate that every incr...
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In this paper we provide two axiomatizations of the class of idempotent discrete uninorms as conservative binary operations, where an operation is conservative if it always outputs one of its input values. More precisely we first show that the idempotent discrete uninorms are exactly those operations that are conservative, symmetric, and nondecreasing in each variable. Then we show that, in thi...
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ژورنال
عنوان ژورنال: Časopis pro pěstování matematiky
سال: 1977
ISSN: 0528-2195
DOI: 10.21136/cpm.1977.108522