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Content available remote Computing Implications with Negation from a Formal Context
EN
The objective of this article is to define an approach towards generating implications with (or without) negation when only a formal context K = (G,M, I) is provided. To that end, we define a two-step procedure which first (i) computes implications whose premise is a key in the context K| K representing the apposition of the context K and its complementary �K with attributes in M (negative attributes), and then (ii) uses an inference axiom we have defined to produce the whole set of implications.
2
Content available remote Multi-scale morphological modeling of a class of structural texture
EN
Consistent and time-efficient modeling of textures is important both for realistic texture mapping in computer graphics and correct texture segmentation in computer vision. A large class of natural and artificial images is represented by the so-called structural textures, which contain visibly repetitive patterns. The multi-scale morphological modeling approach proposed in this paper explicitly describes shape and intensity parameters of structural textures. It is based on a cellular growth of a texture region by a sequential morphological generation of structural texture cells starting from a seed cell. Its main advantage is a concise shape representation for structural texture cells in the form of piecewise linear skeletons. Another advantage is a robust and computationally efficient estimation of texture parameters. The cell parameter estimation is based on the cell localization and adaptive segmentation using a multi-scale matched filter. The experiments reported in the paper are related to texture parameter estimation from synthetic and real textures as well as structural texture synthesis based on the estimated parameters.
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