Abstract Brain Computer Interface is an interesting and important research field that has
contributed widespread application systems. In the medical field, it is important for physically …

Given a two-dimensional smooth manifold M and a bijective projection p from M on a fixed
plane (or a subset of that plane), we explore systematically how a wavelet transform (WT) on …

The stereographic projection determines a bijection between the two‐sphere, minus the
North Pole, and the tangent plane at the South Pole. This correspondence induces a unitary …

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 …

For the smooth surface M, the explicit construction of local flattening map p is given, where
the bijection projection p is the local flattening map from a smooth surface M to a plane. By …

In a first part, we discuss several properties that seem desirable for any type of wavelet, such
as smoothness, orthogonality, local support, Riesz stability, or vanishing moments. Then we …

Based on the theory of the discrete multi-wavelets in the space L2 (R), the theory of the
discrete multi-wavelets in the space L2 (C) is presented properly in this paper, where C …

In 3 we have defined an inner product in L^ 2 (S^ 2), associated to a convex polyhedron
having the origin in its interior and the vertices situated on the unit sphere S^ 2. This inner …

Estimations and optimal experimental designs for two-dimensional Haar-wavelet regression
models are discussed. It is shown that the eigenvalues of the covariance matrix of the best …

A unique convergence of new summation method of spherical wavelet expansions of() ω
dSL, 2 2 functions is established in this paper. The SOHO wavelet basis has an effective …