Marek Vajgl

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The first three authors have been partially supported by the project MSM 6198898701 and 1M0572 of the M ˇ SMTČR. Abstract We show that on the basis of preserving monotonicity an improved algorithm of image compression and reconstruction can be proposed. The algorithm is based on partitioning the range of the function f I which corresponds to an image I.
This contribution shows how the technique of F-transform can be used for handling the problem of edge detection. A justification of the proposed approach is given and the based on it algorithm is presented. Various examples demonstrate effectiveness of the proposed algorithm and compare it with some established techniques.
We show that on the basis of F-transform, the problem of reconstruction of corrupted images can be solved. The proposed technique is called image fusion. A simple linear algorithm of image fusion, based on F-transform, is proposed and justified. A measure of degradation of an image is proposed as well.
Both associative networks and RDF model (here we consider especially its graph version) belong to formal systems of knowledge representation based on concept-oriented paradigm. To treat properties of both of them as common properties of the systems is therefore natural. The article shows a possibility to use universal and existential quantified statements(More)
The article summarizes current approaches to image fusion problem using fuzzy transformation (F-transform) with their weak points and proposes improved version of the algorithm which suppress them. The first part of this contribution brings brief theoretical introduction into problem domain. Next part analyses weak points of current implementations. Last(More)