Morphological Operators on Complex Signals

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Authors
  1. Rivest, J-F.
Corporate Authors
Defence R&D Canada - Ottawa, Ottawa ONT (CAN)
Abstract
This paper presents a novel approach to the generalization of mathematical morphology to complex signals and images. This generalization is strongly dependent upon the issue of multivariate order relationships. Although there is no natural way to order multivariate data such as complex numbers, it is possible to design an order relationship such that it meets criteria that are appropriate to complex signal processing. We first outline the criteria that the order relationship should meet. We then propose a new order relationship that meets these criteria. Based on this order relationship, we construct the basic operators in mathematical morphology: dilations and erosions.
Keywords
Multivalued morphology;Ordering;Complex functions;Transformations;Multivariate Filter Banks
Report Number
DRDC-OTTAWA-SL-2002-117 — Scientific Literature
Date of publication
25 Aug 2004
Number of Pages
1
Reprinted from
Signal Processing, vol 84, 2004, p 133-139
DSTKIM No
CA024523
CANDIS No
522100
Format(s):
Document Image stored on Optical Disk

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