30 June 1994 Fast opening functions and morphological granulometries
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Abstract
In this paper, a comprehensive set of fast algorithms for computing granulometries in binary images is first proposed: linear granulometries (i.e., granulometries based on openings with line segments) constitute the easiest case, and are computed using image `run-length'. The 2D case (granulometries with square or `diamond'-shaped structuring elements, or granulometries with unions of line-segments at different orientations) involves the determination of opening functions or granulometry functions. The grayscale case is then addressed, and a new algorithm for computing grayscale linear granulometries is introduced. This algorithm is orders of magnitude faster than any previously available technique. The techniques introduced in this paper open up a new range of applications for granulometries, examples of which are described in the paper.
© (1994) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Luc M. Vincent, Luc M. Vincent, } "Fast opening functions and morphological granulometries", Proc. SPIE 2300, Image Algebra and Morphological Image Processing V, (30 June 1994); doi: 10.1117/12.179208; https://doi.org/10.1117/12.179208
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