@inbook{248e6423dcef4d6681c15f143a2deceb,
title = "Convex Colour Sieves",
abstract = "Sieves and their variants are established processors for simplifying greyscale images. Because combined outputs of these filters satisfy the scale-space causality property they are often referred to as scale-space filters although they have quite different characteristics compared to systems based around diffusion. In this paper we implement several possible extensions of sieves for colour images which include: applying the processor on separate channels; and enforcing an ordering on the colour vectors. We show that a new definition, based on convex hulls in colour space, can lead to an effective algorithm. As with the greyscale method, the colour sieve produces a tree-based representation of image that form the first step to a meaningful hierarchical decomposition.",
author = "Stuart Gibson and Harvey, {Richard W.} and Finlayson, {Graham D.}",
year = "2003",
doi = "10.1007/3-540-44935-3_38",
language = "English",
isbn = "978-3-540-40368-5",
volume = "2695",
series = "Lecture Notes in Computer Science",
publisher = "Springer",
pages = "550--563",
editor = "Griffin, {Lewis D.} and Martin Lillholm",
booktitle = "Scale Space Methods in Computer Vision",
address = "Germany",
note = "4th International Conference, Scale Space 2003 ; Conference date: 10-06-2003 Through 12-06-2003",
}