Publications related to Fringe demodulation using the two-dimensional phase differencing operator

Sampling at unknown locations, with an application in surface retrieval

Martin Vetterli, Benjamin Bejar Haro, Adam James Scholefield, Michalina Wanda Pacholska

We consider the problem of sampling at unknown locations. We prove that, in this setting, if we take arbitrarily many samples of a polynomial or real bandlimited signal, it is possible to find another function in the same class, arbitrarily far away from t ...

2017

Phase Bifurcation and Zero Reflection in Planar Plasmonic Metasurfaces

Olivier Martin, Chen Yan

We introduce a general formalism combining the coupled oscillator model with the transfer matrix method to analyze and engineer the phase of the light reflected from a Fano-resonant metasurface. This method accounts for periodicity and the presence of subs ...

2017

Sampling and Reconstruction of Shapes with Algebraic Boundaries

Martin Vetterli, Arash Amini, Mitra Fatemi

We present a sampling theory for a class of binary images with finite rate of innovation (FRI). Every image in our model is the restriction of

\mathds{1}_{\{p\leq0\}}

to the image plane, where

\mathds{1}

denotes the indicator function and

p

is some r ...

2016

Spatial fringe analysis techniques for multiple phase and phase derivative estimation

Rishikesh Dilip Kulkarni

Analysis of fringe patterns for the accurate estimation of phase and phase derivatives is of crucial importance in optical interferometry as these quantities provide important information on the physical parameters under study. A wide range of applications ...

EPFL2016

Lightfields behind amplitude masks Creating phase discontinuities

Hans Peter Herzig, Toralf Scharf, Wilfried Noell, Myun Sik Kim, Krishnaparvathy Puthankovilakam

Shaping of light fields behind amplitude and phase masks the basis the lithographic structure reproduction. The aerial image or better the intensity distribution defines the resolution of the structure to be printed. Contrast is the main parameter and to a ...

Ieee2016

Algebraic algorithms for network information flow

Javad Ebrahimi Boroojeni

Ahlswede et al. in the seminal paper [1] have shown that in data transfer over networks, processing the data at the nodes can significantly improve the throughput. As proved by Li et al. in [2], even with a simple type of operation, namely linear operation ...

EPFL2013

Phase properties of operator valued measures in phase space

Vivishek Sudhir

The Wigner phase operator (WPO) is identified as an operator valued measure (OVM) and its eigenstates are obtained. An operator satisfying the canonical commutation relation with the Wigner phase operator is also constructed and this establishes a Wigner d ...

Taylor & Francis Ltd2013

A strategy for adjusting combination weights over adaptive networks

Ali H. Sayed

This work proposes a strategy to adjust the combination weights of an adaptive network in order to attain both faster convergence during the transient phase and lower mean-square-error during the steady-state phase. Optimal combination weights are designed ...

IEEE2013

Multiple signal classification technique for phase estimation from a fringe pattern

Pramod Rastogi

The paper introduces a multiple signal classification technique based method for fringe analysis. In the proposed method, the phase of a fringe pattern is locally approximated as a polynomial. The polynomial phase signal is then transformed to obtain signa ...

Optical Society of America2012

Estimation of multiple phases from a single fringe pattern in digital holographic interferometry

Pramod Rastogi, Sai Siva Gorthi

Simultaneous measurement of multidimensional displacements using digital holographic interferometry involves multi-directional illumination of the deformed object and requires the reliable estimation of the resulting multiple interference phase distributio ...

Optical Society of America2012

Fringe demodulation using the two-dimensional phase differencing operator

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Sampling at unknown locations, with an application in surface retrieval

Phase Bifurcation and Zero Reflection in Planar Plasmonic Metasurfaces

Sampling and Reconstruction of Shapes with Algebraic Boundaries

Spatial fringe analysis techniques for multiple phase and phase derivative estimation

Lightfields behind amplitude masks Creating phase discontinuities

Algebraic algorithms for network information flow

Phase properties of operator valued measures in phase space

A strategy for adjusting combination weights over adaptive networks

Multiple signal classification technique for phase estimation from a fringe pattern

Estimation of multiple phases from a single fringe pattern in digital holographic interferometry

Sampling at unknown locations, with an application in surface retrieval

Sampling and Reconstruction of Shapes with Algebraic Boundaries

Phase Bifurcation and Zero Reflection in Planar Plasmonic Metasurfaces

A strategy for adjusting combination weights over adaptive networks

Lightfields behind amplitude masks Creating phase discontinuities

Spatial fringe analysis techniques for multiple phase and phase derivative estimation

Algebraic algorithms for network information flow

Phase properties of operator valued measures in phase space

Multiple signal classification technique for phase estimation from a fringe pattern

Estimation of multiple phases from a single fringe pattern in digital holographic interferometry