Publications related to Row echelon form

Simultaneous estimation of unwrapped phase and phase derivative from a closed fringe pattern

Pramod Rastogi, Rishikesh Dilip Kulkarni

We propose a new approach for the direct estimation of the unwrapped phase from a single closed fringe pattern. The fringe analysis is performed along a given row/column at a time by approximating the phase with a weighted linear combination of linearly in ...

2016

Closed fringe demodulation using phase decomposition by Fourier basis functions

Pramod Rastogi, Rishikesh Dilip Kulkarni

We report a new technique for the demodulation of a closed fringe pattern by representing the phase as a weighted linear combination of a certain number of linearly independent Fourier basis functions in a given row/column at a time. A state space model is ...

2016

Representer Theorems for Sparsity-Promoting $ ℓ _{ 1 } $ Regularization

Michaël Unser, Julien René Pierre Fageot, Harshit Gupta

We present a theoretical analysis and comparison of the effect of

ℓ _{ 1 }

versus

ℓ _{ 2 }

regularization for the resolution of ill-posed linear inverse and/or compressed sensing problems. Our formulation covers the most general setting where the s ...

IEEE2016

Phase estimation from noisy phase fringe patterns using linearly independent basis functions

Pramod Rastogi, Rishikesh Dilip Kulkarni

A novel technique is proposed for obtaining unwrapped phase estimation from a highly noisy exponential phase field. In this technique, the interference phase is represented as a linear combination of linearly independent and pre-defined basis functions alo ...

Iop Publishing Ltd2015

Direct phase derivative estimation using difference equation modeling in holographic interferometry

Pramod Rastogi, Rishikesh Dilip Kulkarni

A new method is proposed for the direct phase derivative estimation from a single spatial frequency modulated carrier fringe pattern in holographic interferometry. The fringe intensity in a given row/column is modeled as a difference equation of intensity ...

Iop Publishing Ltd2014

Digital holographic moiré for the direct and simultaneous estimation of strain and slope fields

Pramod Rastogi, Rishikesh Dilip Kulkarni

A novel method is proposed for the direct and simultaneous estimation of multiple phase derivatives corresponding to strain and slope fields from a single moiré fringe pattern in digital holographic moiré. The interference field in a given row/column is a ...

Optical Society of America2014

Wave dispersion in periodic post-buckled structures

Alessandro Spadoni, Florian Paul Robert Maurin

Wave propagation in pinned-supported, post-buckled beams can be described with the Korteweg de Vries (KdV) equation. Finite-element simulations however show that the KdV is applicable only to post-buckled beams with strong pre-compression. For weak and mod ...

Elsevier2014

Network Neutrality Inference

Ovidiu Sebastian Mara, Zhiyong Zhang

When can we reason about the neutrality of a network based on external observations? We prove conditions under which it is possible to (a) detect neutrality violations and (b) localize them to specific links, based on external observations. Our insight is ...

2014

Model reduction based on proper generalized decomposition for the steady incompressible Navier-Stokes equations

Lorenzo Tamellini

In this paper we consider a Proper Generalized Decomposition method to solve the steady incompressible Navier–Stokes equations with random Reynolds number and forcing term. The aim of such technique is to compute a low-cost reduced basis approximation of t ...

Siam Publications2014

Randomized Extended Kaczmarz For Solving Least Squares

Nikolaos Freris

We present a randomized iterative algorithm that exponentially converges in the mean square to the minimum l(2)-norm least squares solution of a given linear system of equations. The expected number of arithmetic operations required to obtain an estimate o ...

Society for Industrial and Applied Mathematics2013

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Simultaneous estimation of unwrapped phase and phase derivative from a closed fringe pattern

Closed fringe demodulation using phase decomposition by Fourier basis functions

Representer Theorems for Sparsity-Promoting $ ℓ _{ 1 } $ Regularization

Phase estimation from noisy phase fringe patterns using linearly independent basis functions

Direct phase derivative estimation using difference equation modeling in holographic interferometry

Digital holographic moiré for the direct and simultaneous estimation of strain and slope fields

Wave dispersion in periodic post-buckled structures

Network Neutrality Inference

Model reduction based on proper generalized decomposition for the steady incompressible Navier-Stokes equations

Randomized Extended Kaczmarz For Solving Least Squares

Closed fringe demodulation using phase decomposition by Fourier basis functions

Model reduction based on proper generalized decomposition for the steady incompressible Navier-Stokes equations

Randomized Extended Kaczmarz For Solving Least Squares

Direct phase derivative estimation using difference equation modeling in holographic interferometry

Network Neutrality Inference

Wave dispersion in periodic post-buckled structures

Representer Theorems for Sparsity-Promoting $ ℓ _{ 1 } $ Regularization

Phase estimation from noisy phase fringe patterns using linearly independent basis functions

Simultaneous estimation of unwrapped phase and phase derivative from a closed fringe pattern

Digital holographic moiré for the direct and simultaneous estimation of strain and slope fields