Inf-semilattice approach to self-dual morphology

Journal of Mathematical Imaging and Vision

Volumn 17, Issue 1, 2002, Pages 55-80

  Heijmans, Henk J A M ^a   Keshet, Renato ^b  

^a CWI   (Netherlands)

^b HEWLETT PACKARD LABORATORIES   (United States)

Author keywords

Adjunction; Complete inf semilattice (cisl); Complete lattice; Dilation; Duality principle; Erosion; Lattice ordered group; Mathematical morphology; Negation; Partial ordering; Self dual operator; Translation invariance

Indexed keywords

COMPUTATIONAL GEOMETRY; IMAGE RECONSTRUCTION; MATHEMATICAL OPERATORS; MORPHOLOGY;

MATHEMATICAL MORPHOLOGY;

IMAGE ANALYSIS;

EID: 0036662518     PISSN: 09249907     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1020726725590     Document Type: Article

References (11)

1. G. Birkhoff, "Lattice Theory," 3rd ed., Vol. 25 of American Mathematical Society Colloquium Publications, American Mathematical Society, Providence, RI, 1967.
2. P. Dubreil, and Dubreil-Jacotin, M.L. Lecons d'Alg̀ebre Moderne, Dunod, Paris, 1961.
3. L. Fuchs, Partially ordered algebraic systems, Pergamon Press, Oxford, 1963.
4. H.J.A.M. Heijmans, Morphological Image Operators, Academic Press, Boston, 1994.
5. H.J.A.M. Heijmans, "Self-dual morphological operators and filters," Journal of Mathematical Imaging and Vision Vol. 6, No. 1, pp. 15-36, 1996.
6. R. Keshet (Kresch), "Mathematical morphology on complete semilattices and its applications to image processing," Fundamenta Informaticae, Vol. 41, No. 1-2, pp. 33-56, 2000.
7. R. Kresch, "Extensions of morphological operations to complete semilattices and its applications to image and video processing," In Mathematical Morphology and its Application to Image and Signal Processing, H.J.A.M. Heijmans and J.B.T.M. Roerdink, Eds. Kluwer Academic Publishers, Dordrecht, pp. 35-42, 1998.
8. A.J.H. Mehnert and P.T Jackway, "Folding induced self-dual filters," in Mathematical Morphology and its Application to Image and Signal Processing, J. Goutsias, L. Vincent, and D.S. Bloomberg, Eds. Kluwer Academic Publishers, Boston, pp. 99-108, 2000.
9. F. Meyer, "The levelings" In Mathematical Morphology and its Applications to Image and Signal Processing, H.J.A.M. Heijmans and J.B.T.M. Roerdink, Eds. Kluwer Academic Publishers, Dordrecht, pp. 199-207, 1998.
10. J. Serra, Image Analysis and Mathematical Morphology, Academic Press, London, 1982.
11. J. Serra, (Ed.) Image Analysis and Mathematical Morphology II: Theoretical Advances. Academic Press, London, 1988.