Generalized Morphological Operators Applied to Map-Analysis
نویسندگان
چکیده
The concept of strictness of morphological operators is discussed, and it is shown that the ordinary morphological operators have extreme strictness which leads to sensitivity to noise and digital artifacts. Based on this observation new morphological operators that generalize the ordinary morphological operators, are de ned. The generalized operators have controllable strictness and so excessive erosion and dilation may be prevented. Some properties of the generalized morphological operators are discussed, and it is shown that they may have a linear ltering interpretation. The paper concludes with some preliminary examples demonstrating the advantages of the generalized morphological operators.
منابع مشابه
Generalized Continuous Frames for Operators
In this note, the notion of generalized continuous K- frame in a Hilbert space is defined. Examples have been given to exhibit the existence of generalized continuous $K$-frames. A necessary and sufficient condition for the existence of a generalized continuous $K$-frame in terms of its frame operator is obtained and a characterization of a generalized continuous $K$-frame for $ mathcal{H} $ wi...
متن کاملFailure Mode and Effects Analysis Using Generalized Mixture Operators
Failure mode and effects analysis (FMEA) is a method based on teamwork to identify potential failures and problems in a system, design, process and service in order to remove them. The important part of this method is determining the risk priorities of failure modes using the risk priority number (RPN). However, this traditional RPN method has several shortcomings. Therefore, in this paper we p...
متن کاملGeneralized multiscale connected operators with applications to granulometric image analysis
In this paper, generalized granulometric size distributions and size histograms (a.k.a ‘pattern spectra’) are developed using generalized multiscale lattice operators of the opening and closing type. The generalized size histograms are applied to granulometric analysis of soilsection images. An interesting structure is obtained when the histogram is based on area openings. Furthermore, a fast i...
متن کاملOn certain fractional calculus operators involving generalized Mittag-Leffler function
The object of this paper is to establish certain generalized fractional integration and differentiation involving generalized Mittag-Leffler function defined by Salim and Faraj [25]. The considered generalized fractional calculus operators contain the Appell's function $F_3$ [2, p.224] as kernel and are introduced by Saigo and Maeda [23]. The Marichev-Saigo-Maeda fractional calculus operators a...
متن کاملA Comparison of Implications in Orthomodular Quantum Logic - Morphological Analysis of Quantum Logic
Morphological operators are generalized to lattices as adjunction pairs Serra, 1984; Ronse, 1990; Heijmans and Ronse, 1990; Heijmans, 1994 . In particular, morphology for set lattices is applied to analyze logics through Kripke semantics Bloch, 2002; Fujio and Bloch, 2004; Fujio, 2006 . For example, a pair of morphological operators as an adjunction gives rise to a temporalization of normal mod...
متن کامل