Publications related to Dual basis

Small-angle scattering tensor tomography algorithm for robust reconstruction of complex textures

The development of small-angle scattering tensor tomography has enabled the study of anisotropic nanostructures in a volume-resolved manner. It is of great value to have reconstruction methods that can handle many different nanostructural symmetries. For s ...

Chester2023

Measurement of Displacement and Its Derivatives from a Phase Fringe Pattern

Pramod Rastogi, Rishikesh Dilip Kulkarni

Noting the fact that the phase and phase derivatives carry the information on the mechanical deformation in optical interferometric measurements techniques, we propose a noise robust fringe analysis technique for the simultaneous estimation of unwrapped ph ...

SPRINGER INTERNATIONAL PUBLISHING AG2019

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

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

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

Simultaneous estimation of phase and phase derivative using a difference equation representation of the interference field

Pramod Rastogi, Rishikesh Dilip Kulkarni

A computationally efficient technique for fringe analysis in digital holographic interferometry using a difference equation representation of the interference field is presented. The spatially varying coefficient of the difference equation is estimated acc ...

Optical Soc Amer2014

An updated version of wannier90: A tool for obtaining maximally-localised Wannier functions

Nicola Marzari, Giovanni Pizzi

wannier90 is a program for calculating maximally-localised Wannier functions (MLWFs) from a set of Bloch energy bands that may or may not be attached to or mixed with other bands. The formalism works by minimising the total spread of the MLWFs in real spac ...

Elsevier Science Bv2014

Analysis-suitable T-splines of arbitrary degree: definition, linear independence and approximation properties

Annalisa Buffa, Rafael Vazquez Hernandez

T-splines are an important tool in IGA since they allow local refinement. In this paper we define analysis-suitable T-splines of arbitrary degree and prove fundamental properties: Linear independence of the blending functions and optimal approximation prop ...

2013

A general basis for quarter-power scaling in animals

Andrea Rinaldo, Amos Maritan

It has been known for decades that the metabolic rate of animals scales with body mass with an exponent that is almost always 2/3, and often very close to 3/4. The 3/4 exponent emerges naturally from two models of resource distribution networks, radia ...

National Academy of Sciences2010

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Dual basis

Small-angle scattering tensor tomography algorithm for robust reconstruction of complex textures

Measurement of Displacement and Its Derivatives from a Phase Fringe Pattern

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

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

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

Simultaneous estimation of phase and phase derivative using a difference equation representation of the interference field

An updated version of wannier90: A tool for obtaining maximally-localised Wannier functions

Analysis-suitable T-splines of arbitrary degree: definition, linear independence and approximation properties

A general basis for quarter-power scaling in animals

On the power of combinatorial and spectral invariants

Graph Chatbot

Chat with Graph Search

Small-angle scattering tensor tomography algorithm for robust reconstruction of complex textures

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

Measurement of Displacement and Its Derivatives from a Phase Fringe Pattern

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

Simultaneous estimation of phase and phase derivative using a difference equation representation of the interference field

Analysis-suitable T-splines of arbitrary degree: definition, linear independence and approximation properties

A general basis for quarter-power scaling in animals

On the power of combinatorial and spectral invariants

An updated version of wannier90: A tool for obtaining maximally-localised Wannier functions