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Decomposition of morphological structuring elements
Journal of Mathematical Imaging and Vision, 1994Mathematical morphology has become an important tool for machine vision since the influential work by Serra (1982). It is a branch of image analysis based on set-theoretic descriptions of images and their transformations. As is well known, the chain rule for basic morphological operations, i.e., dilation and erosion, lends itself well to pipelining ...
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Structure and Decomposition Theory of Lattices
1990One of the most natural problems which arise in the investigation of an abstract algebraic system is that of representing the elements of the system in terms of a canonical subset by means of the operations of the system. Thus for a polynomial domain over a field with the operation that of ordinary polynomial multiplication it is the problem of ...
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A Structural Decomposition of the US Yield Curve
SSRN Electronic Journal, 2008We estimate a medium-scale macro-finance DSGE model of the term structure. By expanding the macro part of macro-finance models, historical fluctuations in US bond yields turn out to be largely consistent with the rational expectations hypothesis.
Ferre De Graeve +2 more
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A lower bound for structuring element decompositions
IEEE Transactions on Pattern Analysis and Machine Intelligence, 1991A theoretical lower bound on the number of points required in the decomposition of morphological structuring elements is described. It is shown that the decomposition of an arbitrary N-point structuring element will require at least (3 ln N/ln 3)points.
Craig H. Richardson, Ronald W. Schafer
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What a structural world [structural decomposition]
Proceedings 9th International Workshop on Petri Nets and Performance Models, 2002Petri nets and stochastic Petri nets have been widely adopted as one of the best tools to model the logical and timing behavior of discrete-state systems. However, their practical applicability is limited by the state-space explosion problem. We survey some of the techniques that have been used to cope with large state spaces, starting from early ...
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On time and space decomposition of complex structures
Communications of the ACM, 1985Models of large and complex systems can often be reduced to smaller sub-models, for easier analysis, by a process known as decomposition. Certain criteria for successful decompositions can be established.
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Decomposing structural decomposition: The role of changes in individual industry shares
Energy Economics, 2021Jakub Boratyński
exaly