Topological considerations on gray-level skeletonization

Joaquin Madrid; Russell M. Mersereau; Norberto F. Ezquerra

doi:10.1117/12.131457

1 November 1992 Topological considerations on gray-level skeletonization

Joaquin Madrid, Russell M. Mersereau, Norberto F. Ezquerra

Proceedings Volume 1818, Visual Communications and Image Processing '92; (1992) https://doi.org/10.1117/12.131457
Event: Applications in Optical Science and Engineering, 1992, Boston, MA, United States

Abstract

Analyzing the topological properties of algebraic opening and closing, we characterized the skeletonization of gray level signals as a homotopic transformation; i.e., a continuous deformation of the signal into a simple representation that preserves the connectivity of the signal features. To perform such a transformation, we interpret the morphological opening and closing as algorithmic approximation, in which the structural element imposes the connectivity criteria of the results. Our implementation is a variation of Serra's residual of openings, and is valid for any topology on the working space. We show a particular application and discuss the design of the appropriate structural elements.

Citation Download Citation

Joaquin Madrid, Russell M. Mersereau, and Norberto F. Ezquerra "Topological considerations on gray-level skeletonization", Proc. SPIE 1818, Visual Communications and Image Processing '92, (1 November 1992); https://doi.org/10.1117/12.131457

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