on utilizing the spectral representation of selfadjoint operators in hilbert spaces, some error bounds in approximating $n$-time differentiable functions of selfadjoint operators in hilbert spaces via a taylor's type expansion are given.

Placed within the context of content-based image retrieval, we study in this paper the potential of morphological operators as far as color description is concerned, a booming field to which the morphological framework, however, has only recently started to be applied. More precisely, we present three morphology-based approaches, one making use of granulometries independently computed for each ...

Image processing is a valuable tool in many areas, including medical image analysis, document processing and bioinformatics. However, designing good image operators requires deep knowledge in both image processing and the area of application, and the designed operator might not be the best possible. Automatic training of image operators allows people with little knowledge in Image Processing to...

Image segmentation involves calculating the position of object boundaries. For scene analysis, the intent is to di erentiate objects from clutter by means of preprocessing. The objective of this paper is to examine and discuss two morphological techniques for preprocessing and segmenting range images. A MorphologicalWatershed Algorithm has been studied in detail for segmenting range images. Thi...

\ Abstract: Edge detection plays an important role in object identification. Application ranges from machine vision, image processing to pattern recognition. There exist many algorithms for detecting edges such as sobel, prewitt, canny, morphological operators etc. Canny operator is more susceptible to noise. This paper analyses the advantages and disadvantages of Canny operator and Morphologic...

In this work we study the framework of mathematical morphology on simplicial complex spaces. Simplicial complexes are widely used to represent multidimensional data, such as meshes, that are two dimensional complexes, or graphs, that can be interpreted as one dimensional complexes. Mathematical morphology is one of the most powerful frameworks for image processing, including the processing of d...