The subject of geomathematics focuses on the interpretation and classification of data from
geoscientific and satellite sources, reducing information to a comprehensible form and …

Wavelets have proven to be powerful bases for use in numerical analysis and signal
processing. Their power lies in the fact that they only require a small number of coefficients …

We present a purely group-theoretical derivation of the continuous wavelet transform (CWT)
on the 2-sphere S2, based on the construction of general coherent states associated to …

The basic theory of spherical singular integrals is recapitulated. Criteria are given for
measuring the space-frequency localization of functions on the sphere. The trade-off …

We discuss several approaches to the problem of interpolating or approximating data given
at scattered points lying on the surface of the sphere. These include methods based on …

We study Sobolev type estimates for the approximation order resulting from using strictly
positive definite kernels to do interpolation on the $ n $-sphere. The interpolation knots are …

We present a purely group-theoretical derivation of the continuous wavelet transform (CWT)
on the (n− 1)-sphere S n− 1, based on the construction of general coherent states …

Adapting the recently developed randomized dyadic structures, we introduce the notion of
spline function in geometrically doubling quasi-metric spaces. Such functions have …

We continue the analysis of the continuous wavelet transform on the 2-sphere, introduced in
a previous paper. After a brief review of the transform, we define and discuss the notion of …

How to track the attention of the pilot is a huge challenge. We are able to capture the pupil
status of the pilot and analyze their anomalies and judge the attention of the pilot. This paper …