Their strategy was as follows: Represent the equations (2) as a Galerkin system in

Fourier space with a basis {[e.

We remark that in Fourier space, the following symbols

Indeed, in Fourier space we would obtain the ODE i[omega][?

This Fourier space algorithm is more efficient than real space FBP if the number of projections is sufficiently large.

This is a substantial difference to FBP, where interpolation is performed in Fourier space (fast FBP) or in the backprojection step after the sinogram has been (inversely) Fourier transformed and filtered (real space FBP).

The APM-3000 Series with Novel CD Inspection Technology leverages a form of birefringence in a

Fourier Space to detect Critical Dimension (CD) and Pattern Edge Roughness (PER) variations, ultimately increasing yield rate.

We use a method to estimate local orientations in the n-dimensional space from the covariance matrix of the gradient, which can be implemented either in the image space or in the

Fourier space.

Fornberg and Driscoll [16] gave an interesting generalization of this approach by splitting also the linear part of the equation in

Fourier space in regimes of high, medium, and low frequencies, and to use different numerical schemes for the respective regimes.

The Inverse Filter algorithm is a one-step deconvolution technique performed in

Fourier space by dividing the captured image by the pointspread function.

Bridges and Reich suggested the idea of multi-symplectic spectral discretization on

Fourier space [4].