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Abstract: The convex hull of a set is the smallest convex set containing this set. In 2, this definition is equivalent to the intersection of all half-planes containing the set. We show that this latter definition is nothing but an algebraic closing that can be applied to 2-D grey scale images. The resulting grey scale image is convex, in the sense that all its cross-sections are convex. An efficient translation-invariant implementation, leading to a decreasing family of convex sets that converges... (Update)
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BibTeX entry: (Update)
@article{ soille00from,
author = "Pierre Soille",
title = "From Binary to Grey Scale Convex Hulls",
journal = "Fundamenta Informaticae",
volume = "41",
number = "1-2",
pages = "131-146",
year = "2000",
url = "citeseer.ist.psu.edu/soille00from.html" }
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