Title :
Basis decomposition of morphological operations
Author :
Jones, Ron ; Svalbe, Imants
Author_Institution :
Dept. of Phys., Monash Univ., Clayton, Vic., Australia
fDate :
30 Aug-3 Sep 1992
Abstract :
Promotes the use of basis decomposition of discrete gray-scale structuring elements to design and apply morphological filters. Matheron (1975) has proved that many morphologic operations can be expressed as a single maximum of erosions by a set of basis filters. A constructive relationship between certain morphological operations and their basis sets is derived. The paper discusses how a detailed comparison of basis decomposition set members for given structuring elements can be used to engineer filters with optimal characteristics
Keywords :
filtering and prediction theory; image processing; mathematical morphology; set theory; basis decomposition; discrete gray-scale structuring elements; image processing; mathematical morphology; morphological filters; morphological operations; Algebra; Bismuth; Filtering theory; Filters; Gray-scale; Image analysis; Logic; Morphological operations; Morphology; Physics;
Conference_Titel :
Pattern Recognition, 1992. Vol.III. Conference C: Image, Speech and Signal Analysis, Proceedings., 11th IAPR International Conference on
Conference_Location :
The Hague
Print_ISBN :
0-8186-2920-7
DOI :
10.1109/ICPR.1992.201976
