We derive optimal filters on the sphere in the context of detecting compact objects embedded in a stochastic background process. The matched filter and the scale adaptive filter ar...
Jason D. McEwen, Michael P. Hobson, Anthony N. Las...
We design a zero-forcing filter and a minimum mean square error (MMSE) filter on the 2-sphere by a spherical harmonic multiplication operator. Compared with the traditional opti...
This paper considers the problem of construction of low-pass filters on the unit sphere, which has wide ranging applications in the processing of signals on the unit sphere. We p...
Zubair Khalid, Salman Durrani, Rodney A. Kennedy, ...
The theories of signal sampling, filter banks, wavelets and "overcomplete wavelets" are well-established for the Euclidean spaces and are widely used in the processing a...
Multiscale filtering methods, such as wavelets and steerable pyramids, are widely used in processing and analysis of planar images and promise similar benefits in application to s...