In this paper we construct certain continuous piecewise rational wavelets on arbitrary
spherical triangulations, giving explicit expressions of these wavelets. Our wavelets have …

We present a method for constructing wavelet bases on the unit sphere S 2 of R 3, using the
radial projection and an inner product associated to a convex polyhedron having the origin …

In order to get an efficient representation of images which contain orientated edges we
construct a directional wavelet basis for L^ 2 (R^ 2). The wavelets basis consists of Haar …

Starting from the one-dimensional Haar wavelets on the interval [0, 1], we construct
spherical Haar wavelets which are orthogonal with respect to a given scalar product. This …

In a previous paper we constructed piecewise constant wavelets on spherical triangulations,
orthogonal with respect to a given inner product. In this paper we generalize this …

We construct piecewise constant wavelets on a bounded planar triangulation, the refinement
process consisting of dividing each triangle into three triangles having the same area. Thus …

Generalized piecewise constant orthogonal wavelet bases on 2D-domains Page 1 Applicable
Analysis Vol. 90, Nos. 3–4, March–April 2011, 715–723 Generalized piecewise constant …

The efficient representation of signals defined over spherical domains has many
applications. We derive a new spherical Haar wavelet basis (SOHO) that is both orthogonal …

We study simple linear orthogonal transforms for images, which are real-valued, non-
overlapped, and fast transforms similar to the Haar wavelet transform. These transforms …

To represent the sound field of a sphere, optimal parameter values for a set of spherical
Haar wavelets forming an orthogonal basis are investigated. The Haar wavelet basis is …