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This paper develops uniqueness theory for 3D phase retrieval with finite, discrete measurement data for strong phase objects and weak phase objects, including: (i) {\em Unique determination of (phase) projections from diffraction patterns}…

Information Theory · Computer Science 2023-12-05 Albert Fannjiang

We present a high-precision temporal-spatial phase-demodulation algorithm for phase-shifting interferometry (PSI) affected by random/systematic phase-stepping errors. Laser interferometers in standard optical-shops suffer from several error…

Signal Processing · Electrical Eng. & Systems 2019-12-11 Manuel Servin , Moises Padilla , Guillermo Garnica , Gonzalo Paez

Phase wrapping is a major problem in direction-of-arrival (DOA) estimation using phase-difference observations. For a sensor pair with an inter-sensor spacing greater than half of the wavelength ($\lambda/2$) of the signal, phase wrapping…

Signal Processing · Electrical Eng. & Systems 2021-10-22 Hui Chen , Tarig Ballal , Tareq Y. Al-Naffouri

In this paper, we derive a new class of methods for the classic 2D phase unwrapping problem of recovering a phase function from its wrapped form. For this, we consider the wrapped phase as a wavefront aberration in an optical system, and…

Numerical Analysis · Mathematics 2025-03-14 Simon Hubmer , Victoria Laidlaw , Ronny Ramlau , Ekaterina Sherina , Bernadett Stadler

In Fringe Projection Profilometry (FPP), achieving robust and accurate 3D reconstruction with a limited number of fringe patterns remains a challenge in structured light 3D imaging. Conventional methods require a set of fringe images, but…

Computer Vision and Pattern Recognition · Computer Science 2024-02-05 Won-Hoe Kim , Bongjoong Kim , Hyung-Gun Chi , Jae-Sang Hyun

In recent years, neural networks have been used to solve phase retrieval problems in imaging with superior accuracy and speed than traditional techniques, especially in the presence of noise. However, in the context of interferometric…

X-ray imaging is a fast, precise and non-invasive method of imaging which, when combined with computed tomography, provides detailed 3D rendering of samples. Incorporating propagation-based phase contrast can vastly improve data quality for…

We propose a general framework to recover underlying images from noisy phaseless diffraction measurements based on the alternating directional method of multipliers and the plug-and-play technique. The algorithm consists of three-step…

Optimization and Control · Mathematics 2016-11-07 Huibin Chang , Stefano Marchesini

In this paper we introduce an efficient method to unwrap multi-frequency phase estimates for time-of-flight ranging. The algorithm generates multiple depth hypotheses and uses a spatial kernel density estimate (KDE) to rank them. The…

Computer Vision and Pattern Recognition · Computer Science 2016-08-19 Felix Järemo Lawin , Per-Erik Forssén , Hannes Ovrén

Phase unwrapping is a key problem in many coherent imaging systems, such as synthetic aperture radar (SAR) interferometry. A general formulation for redundant integration of finite differences for phase unwrapping (Costantini et al., 2010)…

Other Computer Science · Computer Science 2018-05-04 Ravi Lanka

Analytical phase demodulation algorithms in optical interferometry typically fail to reach the theoretical sensitivity limit set by the Cram\'er-Rao bound (CRB). We show that deep neural networks (DNNs) can perform efficient phase…

Image and Video Processing · Electrical Eng. & Systems 2020-08-26 Jacob Black , Shichao Chen , Joseph G. Thomas , Yizheng Zhu

In many optical metrology techniques, fringe pattern analysis is the central algorithm for recovering the underlying phase distribution from the recorded fringe patterns. Despite extensive research efforts for decades, how to extract the…

Image and Video Processing · Electrical Eng. & Systems 2019-03-22 Shijie Feng , Qian Chen , Guohua Gu , Tianyang Tao , Liang Zhang , Yan Hu , Wei Yin , Chao Zuo

The resonances of forced dynamical systems occur when either the amplitude of the frequency response undergoes a local maximum (amplitude resonance) or phase lag quadrature takes places (phase resonance). This study focuses on the phase…

Dynamical Systems · Mathematics 2021-08-25 Martin Volvert , Gaetan Kerschen

Here we describe a co-phased 360-degree fringe-projection profilometer which uses 2-projectors and 1-camera and can digitize discontinuous solids with diffuse light surface. This is called co-phased because the two phase demodulated…

Instrumentation and Detectors · Physics 2014-09-15 Manuel Servin , Guillermo Garnica , J. M. Padilla

Fringe projection profilometry has been increasingly sought and applied in dynamic three-dimensional (3D) shape measurement. In this work, a robust and high-efficiency 3D measurement based on Gray-code light is proposed. Unlike the…

Image and Video Processing · Electrical Eng. & Systems 2020-01-22 Zhoujie Wu , Wenbo Guo , Yueyang Li , Yihang Liu , Qican Zhang

Ultrasound plane wave imaging is a cutting-edge technique that enables high frame-rate imaging. However, one challenge associated with high frame-rate ultrasound imaging is the high noise associated with them, hindering their wider…

Image and Video Processing · Electrical Eng. & Systems 2024-08-21 Hojat Asgariandehkordi , Sobhan Goudarzi , Mostafa Sharifzadeh , Adrian Basarab , Hassan Rivaz

Recent years have witnessed rapid advancements in 3D scanning technologies, with applications spanning VR/AR, digital human creation, and medical imaging. Structured-light scanning with phase-shifting techniques is preferred for its use of…

Computer Vision and Pattern Recognition · Computer Science 2025-11-25 Xiang Gao , Xinmu Wang , Zhou Zhao , Junqi Huang , Xianfeng David Gu

Next-generation particle accelerators demand advanced beam-diagnostic capabilities to ensure high performance, operational reliability, and sustainable machine operation. Increasing beam intensities and stored energies make the precise…

Accelerator Physics · Physics 2026-03-10 Francis René Osswald , Mohammed Chahbaoui , Xinyi Liang

Ultrasound Shear Wave Elastography (SWE) is a noteworthy tool for in-vivo noninvasive tissue pathology assessment. State-of-the-art techniques can generate reasonable estimates of tissue elasticity, but high-quality and noise-resiliency in…

Image and Video Processing · Electrical Eng. & Systems 2024-07-31 Md. Jahin Alam , Ahsan Habib , Md. Kamrul Hasan

An improved phase retrieval method based Hilbert transform is introduced to quantitatively calculate the phase distribution from distorted fringe pattern. Also phase measurement deflectomety are widely used in specular type samples. The…

Instrumentation and Detectors · Physics 2016-09-21 Silin Na , Sanghoon Shin , Younghun Yu