A short tour of mathematical morphology on edge and vertex weighted graphs
نویسنده
چکیده
1.1 Introduction Mathematical morphology is a discipline of image analysis that was introduced in the mid-1960s by two researchers at thé Ecole des Mines in Paris: Georges Matheron [1] and Jean Serra [2, 3]. Historically, it was the first consistent non-linear image analysis theory, which from the very start included not only theoretical results but also many practical aspects. Due to the algebraic nature of morphology, the space on which the operators are defined can be either continuous or discrete. However, it was only in 1989 [4] that researchers from the CMM at thé Ecole des Mines began to study morphology on graphs, soon formalized in
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