Pattern spectrum is a shape size descriptor of an object content of a digital image. It is a technique for extracting various shape and resolution information of a digital image. A discussion of the basic ideas of pattern spectrum is presented in the paper. Some useful features of the pattern spectrum concerning invariants for object recognition are derived. Features important for the calculati...

Binary and grayscale mathematical morphology have many applications in different area. On the other hand, colour morphology is not widespread. The reason is the lack of a unique ordering of colour that makes the extension of grayscale morphology to colour images not straightforward. We will introduce a new majority sorting scheme that can be applied on binary, grayscale and colour images. It is...

Frequent item set mining often suffers from the grave problem that the number of frequent item sets can be huge, even if they are restricted to closed or maximal item sets: in some cases the size of the output can even exceed the size of the transaction database to analyze. In order to overcome this problem, several approaches have been suggested that try to reduce the output by statistical ass...

This paper reports the results of a study of multiscale shape description, smoothing and representation. Multiscale nonlinear smoothing filters are first developed by using morphological openings and closings. These filters smooth signals while preserving their edges, and use a definition of scale that agrees with the spatial size of image objects. Matheron used openings and closings to obtain ...

The size-dependent properties of magnetic nanoparticles (MNP) are the major characteristics, determining MNP application in modern technologies and bio-medical techniques. Direct measurements nanosized particles, involved intensive Brownian motion, very complicated; so correct mathematical methods for experimental data processing enable to successfully predict suspensions. In present paper, we ...

Basin, lakes, and pore-grain space are important geophysical shapes, which can fit with the several classical and fractal binary shapes, are processed by employing morphological transformations, and methods. The decomposition of skeleton network (minimum morphological information) using various classical structures like square, octagon and rhombus. Then derive the dilated subsets respective deg...

This work proposes a region-based shape signature that uses a combination of three different types of pattern spectra. The proposed method is inspired by the connected shape filter proposed by Urbach et al. We extract pattern spectra from the red, green and blue color bands of an image then incorporate machine learning techniques for application in photographic image retrieval. Our experiments ...