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The stair phase coding patterns have been widely used to determine the fringe order for phase unwrapping of the wrapped phase in 3D shape measurement. Although the special coding sequence algorithm can achieve with a large number of…

Optics · Physics 2023-02-08 Xingyang Qi , Canlin Zhou , Yixiao Wang , Shuchun Si , Hui Li

Optical interferometers may not require a phase-stable optical link between the stations if instead sources of quantum-mechanically entangled pairs could be provided to them, enabling long baselines. We developed a new variation of this…

Instrumentation and Methods for Astrophysics · Physics 2023-02-01 Zhi Chen , Andrei Nomerotski , Anže Slosar , Paul Stankus , Stephen Vintskevich

In order to measure the radial displacements of facets on surface of a growing spherical Cu_{2-\delta}Se crystal with sub-nanometer resolution, we have investigated the reliability and accuracy of standard method of Fourier analysis of…

Optics · Physics 2009-11-13 Jadranko Gladic , Zlatko Vucic , Davorin Lovric

Classical reconstruction methods for phase-contrast tomography consist of two stages: phase retrieval and tomographic reconstruction. A novel algebraic method combining the two was suggested by Kostenko et al. (Opt. Express, 21, 12185,…

Numerical Analysis · Computer Science 2015-09-08 Rasmus Dalgas Kongskov , Jakob Sauer Jørgensen , Henning Friis Poulsen , Per Christian Hansen

In this article, we study algorithms for nonnegative matrix factorization (NMF) in various applications involving streaming data. Utilizing the continual nature of the data, we develop a fast two-stage algorithm for highly efficient and…

Optimization and Control · Mathematics 2021-01-22 Ran Gu , Qiang Du , Simon J. L. Billinge

For many profilometry techniques, phase unwrapping is one of the most challenging process. In order to sidestep the phase unwrapping process, Perciante et. al [Appl Opt 2015; 54(10):3018-23] proposed a wrapping-free method based on the…

Data Analysis, Statistics and Probability · Physics 2017-06-28 Minmin Wang , Canlin Zhou , Shuchun Si , XiaoLei Li , Zhenkun Lei , YanJie Li

We study a diagnosis scheme to reliably detect the active mode of discrete-time, switched affine systems in the presence of measurement noise and asynchronous switching. The proposed scheme consists of two parts: (i) the construction of a…

Systems and Control · Electrical Eng. & Systems 2023-01-02 Jingwei Dong , Arman Sharifi Kolarijani , Peyman Mohajerin Esfahani

High-dimensional biomarkers such as genomics are increasingly being measured in randomized clinical trials. Consequently, there is a growing interest in developing methods that improve the power to detect biomarker-treatment interactions.…

Methodology · Statistics 2021-04-30 Jixiong Wang , Ashish Patel , James M. S. Wason , Paul J. Newcombe

This work proposes an extension of the 1-D Hilbert Huang transform for the analysis of images. The proposed method consists in (i) adaptively decomposing an image into oscillating parts called intrinsic mode functions (IMFs) using a mode…

Data Analysis, Statistics and Probability · Physics 2015-06-19 Jérémy Schmitt , Nelly Pustelnik , Pierre Borgnat , Patrick Flandrin , Laurent Condat

Two-phase sampling is commonly adopted for reducing cost and improving estimation efficiency. In many two-phase studies, the outcome and some cheap covariates are observed for a large sample in Phase I, and expensive covariates are obtained…

Methodology · Statistics 2025-10-14 Qingning Zhou , Kin Yau Wong

Standard phase-stepping algorithms (PSAs) estimate the measuring phase of linear carrier temporal-fringes with respect to a linear-reference. Linear-carrier fringes are normally obtained using feedback, closed-loop, optical phase-shifting…

Signal Processing · Electrical Eng. & Systems 2019-03-27 Manuel Servin , Moises Padilla , Ivan Choque , Sotero Ordones

We propose a high signal-to-noise extended depth-range three-dimensional (3D) profilometer projecting two linear-fringes with close phase-sensitivity. We use temporal phase-shifting algorithms (PSAs) to phase-demodulate the two close…

Optics · Physics 2018-04-04 Manuel Servin , Moises Padilla , Guillermo Garnica

Non-probability samples become increasingly popular in survey statistics but may suffer from selection biases that limit the generalizability of results to the target population. We consider integrating a non-probability sample with a…

Methodology · Statistics 2019-08-26 Shu Yang , Jae Kwang Kim , Rui Song

We propose a two-stage hybrid approach with neural networks as the new feature construction algorithms for bankcard response classifications. The hybrid model uses a very simple neural network structure as the new feature construction tool…

Machine Learning · Statistics 2018-12-07 Yan Wang , Xuelei Sherry Ni , Brian Stone

Summary. A modified version of the two-slit experiment is proposed in which the moveable detector/counter used to obtain the fringe distribution by counting single photons at different positions on the screen plane is replaced with a mirror…

Quantum Physics · Physics 2007-05-23 G. Sampath

Precise measurement of the angular deviation of an object is a common task in science and technology. Many methods use light for this purpose. Some of these exploit interference effects to achieve technological advantages, such as…

Quantum Physics · Physics 2020-08-19 G. H. Aguilar , R. S. Piera , P. L. Saldanha , R. L. de Matos Filho , S. P. Walborn

In this paper we apply the frequency transfer function (FTF) formalism to analyze the red, green and blue (RGB) phase-shifting fringe-projection profilometry technique. The phase-shifted fringe patterns in RGB fringe projection are…

Optics · Physics 2017-06-26 Moises Padilla , Manuel Servin , Guillermo Garnica

We propose a novel two-regime regression model where regime switching is driven by a vector of possibly unobservable factors. When the factors are latent, we estimate them by the principal component analysis of a panel data set. We show…

Econometrics · Economics 2022-08-11 Sokbae Lee , Yuan Liao , Myung Hwan Seo , Youngki Shin

We propose an analytical method for the construction of Hartree-Fock phase diagrams for the (fermion) Hubbard model and various generalizations thereof. Such phase diagrams are traditionally constructed numerically, but we argue that, by…

Mathematical Physics · Physics 2025-12-24 Christophe Charlier , Edwin Langmann , Jonatan Lenells

Filtered backprojection (FBP) algorithm is a popular choice for complicated trajectory SAR image formation processing due to its inherent nonlinear motion compensation capability. However, how to efficiently autofocus the defocused FBP…

Signal Processing · Electrical Eng. & Systems 2020-01-08 Xinhua Mao , Lan Ding , Yudong Zhang , Ronghui Zhan , Shan Li