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The algebraic basis of mathematical morphology. I. dilations and erosions
Source Computer Vision, Graphics, and Image Processing archive
Volume 50 ,  Issue 3  (June 1990) table of contents
Pages: 245 - 295  
Year of Publication: 1990
ISSN:0734-189X
Authors
H. J. A. M. Heimans
C. Ronse
Publisher
Academic Press Professional, Inc.  San Diego, CA, USA
Bibliometrics
Downloads (6 Weeks): n/a,   Downloads (12 Months): n/a,   Citation Count: 27
Additional Information:

cited by   index terms   collaborative colleagues  

Tools and Actions: Review this Article  
DOI Bookmark: 10.1016/0734-189X(90)90148-O

CITED BY  27
Edward R. Dougherty, A Lattice-Based Minimal Gray-Scale Switching Algorithm for Obtaining the Optimal Increasing Filter from the Optimal Filter, Journal of Mathematical Imaging and Vision, v.21 n.1, p.43-52, July 2004
Isabelle Bloch, Mathematical morphology and spatial relationships: quantitative, semi-quantitative and symbolic settings, Applying soft computing in defining spatial relations, Physica-Verlag GmbH, Heidelberg, Germany, 2002
R. Jones , I. Svalbe, Algorithms for the Decomposition of Gray-Scale Morphological Operations, IEEE Transactions on Pattern Analysis and Machine Intelligence, v.16 n.6, p.581-588, June 1994
José Crespo , Ronald W. Schafer, Locality and Adjacency Stability Constraints for MorphologicalConnected Operators, Journal of Mathematical Imaging and Vision, v.7 n.1, p.85-102, Jan 1, 1997
Paul T. Jackway , Mohamed Deriche, Scale-Space Properties of the Multiscale Morphological Dilation-Erosion, IEEE Transactions on Pattern Analysis and Machine Intelligence, v.18 n.1, p.38-51, January 1996
Imants D. Svalbe, The Geometry of Basis Sets for Morphologic Closing, IEEE Transactions on Pattern Analysis and Machine Intelligence, v.13 n.12, p.1214-1224, December 1991
Christian Ronse , Vincent Agnus, Morphology on Label Images: Flat-Type Operators and Connections, Journal of Mathematical Imaging and Vision, v.22 n.2-3, p.283-307, May 2005
M. e. Montiel , A. s. Aguado , M. a. Garza-Jinich , J. Alarcón, Image Manipulation Using M-filters in a Pyramidal Computer Model, IEEE Transactions on Pattern Analysis and Machine Intelligence, v.17 n.11, p.1110-1115, November 1995
Petros Maragos, Lattice Image Processing: A Unification of Morphological and Fuzzy Algebraic Systems, Journal of Mathematical Imaging and Vision, v.22 n.2-3, p.333-353, May 2005
Jean Serra, Viscous Lattices, Journal of Mathematical Imaging and Vision, v.22 n.2-3, p.269-282, May 2005
Henk J. A. M Heijmans, Theoretical Aspects of Gray-Level Morphology, IEEE Transactions on Pattern Analysis and Machine Intelligence, v.13 n.6, p.568-582, June 1991
M. Droogenbroeck , M. J. Buckley, Morphological Erosions and Openings: Fast Algorithms Based on Anchors, Journal of Mathematical Imaging and Vision, v.22 n.2-3, p.121-142, May 2005
Henk J. A. M. Heijmans , Ilya S. Molchanov, Morphology on Convolution Lattices with Applications to the Slope Transform and Random Set Theory, Journal of Mathematical Imaging and Vision, v.8 n.3, p.199-214, May 1998
Christian Ronse , Jean Serra, Geodesy and connectivity in lattices, Fundamenta Informaticae, v.46 n.4, p.349-395, December 2001
E. Aptoula , S. Lefèvre, A comparative study on multivariate mathematical morphology, Pattern Recognition, v.40 n.11, p.2914-2929, November, 2007
Christian Ronse, Flat Morphology on Power Lattices, Journal of Mathematical Imaging and Vision, v.26 n.1-2, p.185-216, November 2006
Benoít Naegel , Nicolas Passat , Christian Ronse, Grey-level hit-or-miss transforms-Part I: Unified theory, Pattern Recognition, v.40 n.2, p.635-647, February, 2007
J. L. Díaz De León S. , J. H. Sossa-Azuela, Mathematical Morphology Based on Linear Combined MetricSpaces on Z2 (Part I): Fast Distance Transforms, Journal of Mathematical Imaging and Vision, v.12 n.2, p.137-154, April 2000
Jean Serra, Connectivity on Complete Lattices, Journal of Mathematical Imaging and Vision, v.9 n.3, p.231-251, Nov. 1998
Christian Ronse , Mohamed Tajine, Discretization in Hausdorff Space, Journal of Mathematical Imaging and Vision, v.12 n.3, p.219-242, June 2000
Isabelle Bloch, Defining belief functions using mathematical morphology -- Application to image fusion under imprecision, International Journal of Approximate Reasoning, v.48 n.2, p.437-465, June, 2008
Nicolas Loménie , Georges Stamon, Morphological mesh filtering and α-objects, Pattern Recognition Letters, v.29 n.10, p.1571-1579, July, 2008
Christian Ronse , Vincent Agnus, Geodesy on label images, and applications to video sequence processing, Journal of Visual Communication and Image Representation, v.19 n.6, p.392-408, August, 2008
Isabelle Bloch, Duality vs. adjunction for fuzzy mathematical morphology and general form of fuzzy erosions and dilations, Fuzzy Sets and Systems, v.160 n.13, p.1858-1867, July, 2009
E. Aptoula , S. Lefèvre , C. Ronse, A hit-or-miss transform for multivariate images, Pattern Recognition Letters, v.30 n.8, p.760-764, June, 2009
Miguel Angel Luengo-Oroz , Jesús Angulo, Cyclic mathematical morphology in polar-logarithmic representation, IEEE Transactions on Image Processing, v.18 n.5, p.1090-1096, May 2009
Marco Aiello , Brammert Ottens, The mathematical morpho-logical view on reasoning about space, Proceedings of the 20th international joint conference on Artifical intelligence, p.205-211, January 06-12, 2007, Hyderabad, India

INDEX TERMS

Primary Classification:
  F. Theory of Computation
  F.2 ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY
      F.2.2 Nonnumerical Algorithms and Problems
          Subjects: Computations on discrete structures

Additional Classification:
  I. Computing Methodologies
  I.4 IMAGE PROCESSING AND COMPUTER VISION


General Terms:
Theory, Verification

Collaborative Colleagues:
H. J. A. M. Heimans: colleagues
C. Ronse: colleagues

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