By Jean Serra, Pierre Soille
ISBN-10: 9401044538
ISBN-13: 9789401044530
ISBN-10: 9401110409
ISBN-13: 9789401110402
Mathematical morphology (MM) is a conception for the research of spatial constructions. it truly is referred to as morphology because it goals at analysing the form and kind of gadgets, and it really is mathematical within the experience that the research relies on set concept, topology, lattice algebra, random services, and so forth.
MM is not just a theory, but additionally a strong picture research technique. the aim of the current publication is to supply the picture research neighborhood with a picture of present theoretical and utilized advancements of MM. The publication involves forty-five contributions labeled by way of topic. It demonstrates quite a lot of themes suited for the morphological technique.
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Additional resources for Mathematical Morphology and Its Applications to Image Processing
Example text
2. ;. ;. = [Xl, ... ,XNf Let :lQ be a weighting vector defined by: :lQ = [WI,"" wNf Where Wj is a weight associated with the mask's location j. The weighting of Xj by is defined as the repetition of Xj, Wj times. ) Where Rank( r,:Q) is the operator which selects the r-ordered value of the vector :Q. The goal of the optimization approach is to get optimal Wj (1 ::; j ::; N) and r, realizing the minimum of the MSE quantity: E is the mathematical expectation, y the filter output, and d the desired output.
47 Coded Size image generated by variable closing residue contrast and speak in terms of a variable opening residue operator, for the sake of clarity. The corresponding variable closing residue is easily defined symmetrically, and is indeed the basis of the example letter mail images (dark text on light paper) that appear in the following sections. 2. Operator Description and Illustrations Given a grey-level image as a starting point (Figure 2), the essence of the variable opening residue operator is to perform a series of successively larger openings (or closings), up to the maximum size of interest, and compute the paired differences between these.
1, T) is a dc-monoid. 1, T), will be denoted as aU (3, is given by aU(3={ a -00 if a