# Convex Colour Sieves

@inproceedings{Gibson2003ConvexCS, title={Convex Colour Sieves}, author={Stuart E. Gibson and Richard Harvey and Graham D. Finlayson}, booktitle={Scale-Space}, year={2003} }

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 colourâ€¦Â

## 15 Citations

### Colour morphological sieves for scale-space image processing

- Computer Science
- 2007

From recent colour morphology methods, new sieving structures have been derived and demonstrated to have similar or better denoising abilities than other morphological methods, although they are outperformed by edge-based schemes.

### Colour Morphological Scale-Spaces from the Positional Colour Sieve

- MathematicsDigital Image Computing: Techniques and Applications (DICTA'05)
- 2005

A new colour sieve based on the geometry of the local convex hull, providing a more flexible approach to extrema definition is proposed, showing a similar segmentation performance to existing colour sieves but with an improved performance in terms of noise reduction.

### Colour Morphological Scale-Spaces for Image Segmentation

- MathematicsBMVC
- 2005

An original evaluation of two recently proposed colour sieves is presented, both algorithmically and in terms of their computational and segmentation performance, and a new colour sieve structure is proposed, motivated by the relative advantages of the two sieves previously studied.

### An evaluation of area morphology scale-spaces for colour images

- MathematicsComput. Vis. Image Underst.
- 2008

### Nonlinear Operations for Colour Images Based on Pairwise Vector Ordering

- MathematicsDigital Image Computing: Techniques and Applications (DICTA'05)
- 2005

A quantitative evaluation shows the pairwise vector median to be less effective for noise reduction than the well known vector median filter, albeit with reduced complexity.

### Extending connected operators to colour images

- Mathematics2008 15th IEEE International Conference on Image Processing
- 2008

This paper considers some of the choices which must be made in the design of effective colour connective operators and an evaluation of the noise reduction performance resulting from these choices is presented.

### The Art of Scale-Space

- ArtBMVC
- 2003

Non-photorealistic rendering is a potential application of Gaussian and anisotropic diffusion filters and connected-set morphological filters, which remove detail whilst maintaining scale-space causality, in other words new detail is not created using these operators.

### Evaluating a colour morphological scale-space

- Mathematics
- 2003

Scale-spaces are usually associated with the diffusion equation operating on greyscale images. This paper presents a scale-space that is based on graph morphology and works in colour. The system isâ€¦

### Color Texture Analysis: A Survey

- Computer ScienceIEEE Access
- 2022

This paper provides a comprehensive survey of the texture feature extraction methods that consider both texture and color information and proposes a categorization of these methods into seven classes, two of them being very recent.

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The theory of an image decomposition that the authors refer to as a sieve is developed for images defined in any finite number of dimensions, which has the additional properties of manipulability, which means that it is easy to construct pattern recognition systems, and scale-calibration, which mean that it may be used for accurate measurement.

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Decomposition by extrema is put into the context of linear vision systems and scale-space, and M- and N-sieve algorithms used to decompose an image, the resulting granularity is appropriate for pattern recognition.

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