MATHEMATICAL MORPHOLOGY IN THE CIELAB SPACE

Mathematical Morphology in the HSI Colour Space

Mathematical Morphology is a powerful non-linear image analysis techniques based on lattice theory. The definitions of morphological operators need an ordered lattice algebraic structure. In order to apply these operators to the colour images it is required, on one hand the choice of a suitable colour space representation and on the other hand, to establish an order in the colour space providin...

Mathematical Morphology in the HLS Colour Space

The HLS colour space is widely used in image analysis as it is physically intuitive. As the hue component of this space is defined on the unit circle, standard greyscale image analysis operators, specifically morphological operators, are not applicable to it. A variation of the standard morphological operators which require the choice of an origin are discussed. In addition, some lexicographica...

Morphological Scale Space and Mathematical Morphology

Dynamic scale-space paradigms versus mathematical morphology?

The geometric and statistical physical concepts of dynamic scale-space paradigms are presented and juxtaposed to those of mathematical morphology. It turns out that the dynamic paradigms can be applied to, substantiate and even generalise the morphological techniques and paradigms. In particular the importance of the dynamic scale-space concepts in granulometry by means of size densities or sta...

Mathematical Morphology in the L*a*b* Colour Space

The use of mathematical morphology in the L*a*b* colour space is discussed. Initially, a description of the characteristics of the L*a*b* space and a comparison to the HLS space are given. This is followed by a theoretical demonstration of the use of weighting functions to impose a complete order on a vector space. Various colour weighting functions are considered, and one based on a model of a...