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math.NA2025
Fast Convolutions on via Radial Translational Dependence and Classical FFT
Arash Ghaani Farashahi, Gregory S. Chirikjian
Let denote the right coset space of the subgroup consisting of translational isometries of the orthogonal lattice in the non-Abelian g…
math.NA2023
Asymptotically Steerable Finite Fourier-Bessel Transforms and Closure under Convolution
Arash Ghaani Farashahi, Gregory S. Chirikjian
This paper develops a constructive numerical scheme for Fourier-Bessel approximations on disks compatible with convolutions supported on disks. We address accurate finite Fourier-B…
math.NA2007
Deblurring of Motionally Averaged Images with Applications to Single-Particle Cryo-Electron Microscopy
Wooram Park, Daniel N. Rockmore, Dean Madden +1
This paper addresses the deconvolution of an image that has been obtained by superimposing many copies of an underlying unknown image of interest. The superposition is assumed to n…