Convex Colour Sieves

Stuart Gibson; Richard Harvey; Graham Finlayson

doi:10.1007/3-540-44935-3_38

Convex Colour Sieves

Stuart Gibson, Richard Harvey, Graham Finlayson

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

14 Citations (Scopus)

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.

Original language	English
Title of host publication	Scale Space Methods in Computer Vision
Subtitle of host publication	4th International Conference, Scale-Space 2003, Isle of Skye, UK, June 10-12, 2003, Proceedings
Editors	Lewis D. Griffin, Martin Lillhom
Publisher	Springer
Pages	550–563
Number of pages	14
ISBN (Electronic)	978-3-540-44935-5
ISBN (Print)	978-3-540-40368-5
DOIs	https://doi.org/10.1007/3-540-44935-3_38
Publication status	Published - 2003

Access to Document

10.1007/3-540-44935-3_38

Cite this

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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.",

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Convex Colour Sieves. / Gibson, Stuart; Harvey, Richard ; Finlayson, Graham.

Scale Space Methods in Computer Vision: 4th International Conference, Scale-Space 2003, Isle of Skye, UK, June 10-12, 2003, Proceedings. ed. / Lewis D. Griffin; Martin Lillhom. Springer, 2003. p. 550–563.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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AU - Gibson, Stuart

AU - Harvey, Richard

AU - Finlayson, Graham

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AB - 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.

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M3 - Conference contribution

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