As a result of our study we get an expression for the error function in Fourier space
that takes into account the spatial variability of the diffusion coefficient:
The slight superiority of the fast FBP is possibly the result of the Fourier space approach, which may reduce interpolation errors along boundaries.
This effect is plausible since edges are represented by high frequencies in Fourier space.
It consists of an optical system with a polarizer and a high NA objective and detects light intensity in a Fourier space
In this paper, we introduce algorithms to estimate a local orientation, which can be implemented in the Fourier space or in the image space.
Using standard rules of derivation in the Fourier space and Eq.
The first equation can be explicitly integrated in Fourier space.
Whereas the first equation can be again explicitly integrated in Fourier space, the Hopf equation can be integrated only implicitly with the method of characteristics, u(t,x) = [u.
The multi-symplectic Fourier transform leads to a semi-discretization on Fourier space and the concept of multi-symplecticity on Fourier space.
As was mentioned in the Introduction, Bridges and Reich introduced the idea of multi-symplectic Fourier transform and obtained multi-symplectic semi-discretization on Fourier space.