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Relation with other TCs

Discrete geometry is necessary in image analysis and shape representation in general. Some fields such as biomedical (TC9) and remote sensing (TC7) applications can take advantage of progress within discrete geometry. Combining the works coming from Computer Vision and Image Understanding (TC4) and Graph based representations (TC15) with Discrete Geometry will certainly lead to new results.

Several others topics have some common research or applications with discrete geometry. Among them, we can emphasize :

Mathematical Morphology:

• J. Serra, Image Analysis and Mathematical Morphology, Academic Press, 1982
• J. Serra and P. Soille, Mathematical Morphology and its Applications to Image Processing, Kluwer Academic Publishers, 1994
• P. Soille, Morphology Image Analysis: Principle and Application, Springer-Verlag, 1999 (first edition).

Computational Geometry:

• G. Toussaint, Computational Geometry, Machine Intelligence and Pattern Recognition, 1985
• F.P. Preparata and M.I. Shamos, Computational Geometry, Springer-Verlag, 1985
• M. de Berg, M. van Kreveld, and M. Overmars, Computational Geometry: Algorithms and Applications, Springer-Verlag, 2nd rev. ed. 2000

IAPR-TC18 webpage