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Multiresolution histograms have been used for indexing and retrieval of images. Multiresolution histograms used traditionally are 2d-histograms which encode pixel intensities. Earlier we proposed a method for decomposing images by connectivity. In this paper, we propose to encode centroidal distances of an image in multiresolution histograms; the image is decomposed a priori, by connectivity. M...

A wavelet analysis, in the context of multiresolution. is performed to study the distribution of matter in the universe at extragalactic scales. Specifically, a threedimensional Haar system is used to extract statistical properties of large-scale structure. Despite the simplicity of the wavelet form, the method is effective for identifying general properties of gravitational clustering phenomen...

The ability of gerarchically manage data available in a Geographical Information System is becoming increasingly important, given the huge data quantity provided by the modern surveying techniques. In particular, the spatial features of an element must be framed in an intrensically multiresolution structure with an efficient management of the information at different resolutions. Four new modul...

In the present paper we find new constructions of orthonormal multiresolution analyses on the triangle ∆. In the first one, we describe a direct method to define an orthonormal multiresolution analysis R which is adapted for the study of the Sobolev spaces H 0(∆) (s ∈ N). In the second one, we add boundary conditions for constructing an orthonormal multiresolution analysis which is adapted for ...

We summarize the properties of the auto-correlation functions of compactly supported wavelets, their connection to iterative interpolation schemes, and the use of these functions for multiresolution analysis of signals. We briefly describe properties of representations using dilations and translations of these autocorrelation functions (the auto-correlation shell) which permit multiresolution a...