Mathematical morphology on the sphere

Jos B.T.M. Roerdink

doi:10.1117/12.24213

1 September 1990 Mathematical morphology on the sphere

Jos B.T.M. Roerdink

Proceedings Volume 1360, Visual Communications and Image Processing '90: Fifth in a Series; (1990) https://doi.org/10.1117/12.24213
Event: Visual Communications and Image Processing '90, 1990, Lausanne, Switzerland

Abstract

In this paper we show how the classical morphological definitions for Euclidean space can be extended to the sphere, where the rotation group replaces the Euclidean translation group. The main problem to overcome is the non-commutativity of the rotation group. Some examples of morphological transformations on the sphere are given. To visualize the results we use a projection of the sphere onto a plane.

Citation Download Citation

Jos B.T.M. Roerdink "Mathematical morphology on the sphere", Proc. SPIE 1360, Visual Communications and Image Processing '90: Fifth in a Series, (1 September 1990); https://doi.org/10.1117/12.24213

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