75 citations · 220 across the 35 of their papers we have counts for
4 papers · 2 filters
ec: A Local Spectral Exterior Calculus
Christian Lessig
We introduce , a discretization of Cartan's exterior calculus of differential forms using wavelets. Our construction consists of differential -form wavelets with f…
A Local Fourier Slice Theorem
Christian Lessig
We present a local Fourier slice equation that enables local and sparse projection of a signal. Our result exploits that a slice in frequency space is an iso-parameter set in spher…
Polar Wavelets in Space
Christian Lessig
Recent work introduced a unified framework for steerable and directional wavelets in two and three dimensions that ensures many desirable properties, such as a multi-scale structur…
Divergence Free Polar Wavelets for the Analysis and Representation of Fluid Flows
Christian Lessig
We present a Parseval tight wavelet frame for the representation and analysis of velocity vector fields of incompressible fluids. Our wavelets have closed form expressions in the f…