activity
20172020
most citedIs the Rayleigh-Sommerfeld diffraction always an exact reference for high speed diffraction algorithms?

21 citations · 40 across the 6 of their papers we have counts for

collaborators

6 papers

cs.LG2020

Fourier Transform Approach to Machine Learning III: Fourier Classification

Soheil Mehrabkhani

We propose a Fourier-based learning algorithm for highly nonlinear multiclass classification. The algorithm is based on a smoothing technique to calculate the probability distribut…

cs.LG2019★ 1 cited

Fourier Transform Approach to Machine Learning II: Fourier Clustering

Soheil Mehrabkhani

We propose a Fourier-based approach for optimization of several clustering algorithms. Mathematically, clusters data can be described by a density function represented by the Dirac…

cs.LG2019★ 1 cited

Fourier Transform Approach to Machine Learning I: Fourier Regression

Soheil Mehrabkhani

We propose a supervised learning algorithm for machine learning applications. Contrary to the model developing in the classical methods, which treat training, validation, and test…

physics.optics2018★ 14 cited

A Fourier-based Solving Approach for the Transport of Intensity Equation without Typical Restrictions

Soheil Mehrabkhani, Lennart Wefelnberg, Thomas Schneider

The Transport-of-Intensity equation (TIE) has been proven as a standard approach for phase retrieval. Some high efficiency solving methods for the TIE, extensively used in many wor…

eess.IV2017★ 3 cited

Optimization of phase retrieval in the Fresnel domain by the modified Gerchberg-Saxton algorithm

Soheil Mehrabkhani, Melvin Kuester

The modified Gerchberg-Saxton algorithm (MGSA) is one of the standard methods for phase retrieval. In this work we apply the MGSA in the paraxial domain. For three given physical p…

physics.optics2017★ 21 cited

Is the Rayleigh-Sommerfeld diffraction always an exact reference for high speed diffraction algorithms?

Soheil Mehrabkhani, Thomas Schneider

In several areas of optics and photonics like wave propagation, digital holography, holographic microscopy, diffraction imaging, biomedical imaging and diffractive optics, the beha…