Hausdorf-metric interpretation of convergence in the Matheron topology for binary mathematical morphology Conference Paper

abstract

• The basic convergence properties of mathematical morphology are characterized in terms of the topology of G. Matheron (1975). That topology is grounded on a particular subbase that can often mask the important metric properties that are consequential to Euclidean morphology. The author presents a development of some of the key Matheron theory in terms of the Hausdorff metric, thereby bypassing the Matheron subbase and giving both theorems and proofs in a metric framework.

name of conference

• [1990] Proceedings. 10th International Conference on Pattern Recognition

authors

• Dougherty, Edward

published proceedings

• [1990] Proceedings. 10th International Conference on Pattern Recognition

author list (cited authors)

• Dougherty, E. R.

citation count

• 2

complete list of authors

• Dougherty, ER

publication date

• January 1990

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

Digital Object Identifier (DOI)

• 10.1109/icpr.1990.118232

International Standard Book Number (ISBN) 10

• 0818620625

start page

• 870-875 vol.1

end page

• 875

volume

• i

URL

• http://dx.doi.org/10.1109/icpr.1990.118232