Fast expansion into harmonics on the disk: a steerable basis with fast radial convolutions

Nicholas Marshall
Princeton University

In this talk, I will present a fast and numerically accurate method for expanding digitized L×L images representing functions on [-1,1]^2 supported on the disk {x?R^2:|x|<1} in the harmonics (Dirichlet Laplacian eigenfunctions) on the disk. Our method runs in O(L^2 log L) operations. (This talk is based on joint work with Oscar Mickelin and Amit Singer).

Back to Computational Microscopy