Convex Colour Sieves

  title={Convex Colour Sieves},
  author={Stuart E. Gibson and Richard Harvey and Graham D. Finlayson},
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… 

Colour morphological sieves for scale-space image processing

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

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

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

Nonlinear Operations for Colour Images Based on Pairwise Vector Ordering

  • A. Evans
  • Mathematics
    Digital 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

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

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

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 is

Color area morphology scale-spaces

Color Texture Analysis: A Survey

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.



Morphological scale-space preserving transforms in many dimensions

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.

Scale-space from nonlinear filters

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.

Scale-Space and Edge Detection Using Anisotropic Diffusion

A new definition of scale-space is suggested, and a class of algorithms used to realize a diffusion process is introduced, chosen to vary spatially in such a way as to encourage intra Region smoothing rather than interregion smoothing.

Morphological grayscale reconstruction in image analysis: applications and efficient algorithms

  • L. Vincent
  • Computer Science
    IEEE Trans. Image Process.
  • 1993
An algorithm that is based on the notion of regional maxima and makes use of breadth-first image scannings implemented using a queue of pixels results in a hybrid gray-scale reconstruction algorithm which is an order of magnitude faster than any previously known algorithm.

Scale-Space Filtering

Color Differential Structure

The scale-space approach to the differential structure of color images was recently introduced by Geusebroek et al. and is presented as a practical implementation in the computer algebra package Mathematica for the extraction of color differential structure.

Anisotropic diffusion in image processing

This work states that all scale-spaces fulllling a few fairly natural axioms are governed by parabolic PDEs with the original image as initial condition, which means that, if one image is brighter than another, then this order is preserved during the entire scale-space evolution.

The robustness of some scale-spaces

It is found that the standard diffusion-based systems are not as insensitive to noise and occlusion as one might wish.

The structure of images

It is shown that any image can be embedded in a one-parameter family of derived images (with resolution as the parameter) in essentially only one unique way if the constraint that no spurious detail should be generated when the resolution is diminished, is applied.

From High Energy Physics to Low Level Vision

The proposed framework for image scale space, enhancement, and segmentation is presented and is demonstrated by applying it to denoise and improve gray level and color images.