Anamorphoses and function lattices

Jean C. Serra

doi:10.1117/12.146650

23 June 1993 Anamorphoses and function lattices

Jean C. Serra

Proceedings Volume 2030, Image Algebra and Morphological Image Processing IV; (1993) https://doi.org/10.1117/12.146650
Event: SPIE's 1993 International Symposium on Optics, Imaging, and Instrumentation, 1993, San Diego, CA, United States

Abstract

The classical notion of a stack, or flat, operator on numerical functions is extended to functions on a complete lattice T. This implies to introduce cross sections of such functions, and also anamorphoses. The two theorems which characterize function operators from flat primitives, and their commutability under anamorphosis are then proved. An application to color images is presented.

Citation Download Citation

Jean C. Serra "Anamorphoses and function lattices", Proc. SPIE 2030, Image Algebra and Morphological Image Processing IV, (23 June 1993); https://doi.org/10.1117/12.146650

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