2D zonal integration with unordered data

Smith, Greg

doi:10.1364/ao.426162

Cited by 5 publications

(2 citation statements)

References 15 publications

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“…Any integration method effectively operates at the level of larger or smaller surface patches. Therefore, small errors in the DM or regularization data, sampling grid properties (Leung and Cai, 2020;Smith, 2021), or the influence of the tested surface itself Niu et al, 2021) may have a global effect on the reconstruction outcomes, and deviations from the true shape end up correlated at different scales (Pouya Fard and Davies, 2018). While we are not aware of a general method to predict integration uncertainties in DM, it is clear that simple Advanced Optical Technologies frontiersin.org quality metrics adopted, e.g., in fringe projection or laser triangulation such as "RMS height error" do not capture the statistics of errors inherent for DM.…”

Section: Integration/interpolation Biasesmentioning

confidence: 99%

Deflectometry for specular surfaces: an overview

et al. 2023

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Deflectometry as a technique to assess reflective surfaces has now existed for some 40 years. Its different aspects and variations have been studied in multiple theses and research articles; reviews are available for certain subtopics. Still a field of active development with many unsolved problems, deflectometry now encompasses a large variety of application domains, hardware setup types, and processing workflows for different purposes, and spans a range from qualitative defect inspection of large vehicles to precision measurements of microscopic optics. Over these years, many exciting developments have accumulated in the underlying theory, in the systems design, and in the implementation specifics. This diversity of topics is difficult to grasp for experts and non-experts alike and may present an obstacle to a wider acceptance of deflectometry as a useful tool for research and industrial applications. This paper presents an attempt to summarize the status of deflectometry and to map relations between its notable branches. Its aim is to provide a communication basis for experienced practitioners and also to offer a convenient entry point for those interested in learning about the method. The list of references introduces some prominent trends and established research groups in order to facilitate further self-directed exploration.

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Section: Integration/interpolation Biasesmentioning

confidence: 99%

Deflectometry for specular surfaces: an overview

et al. 2023

View full text Add to dashboard Cite

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Section: Integration/interpolation Biasesmentioning

confidence: 99%

Deflectometry for specular surfaces: an overview

Burke¹,

Pak²,

Höfer³

et al. 2022

Preprint

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Deflectometry as a technical approach to assessing reflective surfaces has now existed for almost 40 years. Different aspects and variations of the method have been studied in multiple theses and research articles, and reviews are also becoming available for certain subtopics. Still a field of active development with many unsolved problems, deflectometry now encompasses a large variety of application domains, hardware setup types, and processing workflows designed for different purposes, and spans a range from qualitative defect inspection of large vehicles to precision measurements of microscopic optics. Over these years, many exciting developments have accumulated in the underlying theory, in the systems design, and in the implementation specifics. This diversity of topics is difficult to grasp for experts and nonexperts alike and may present an obstacle to a wider acceptance of deflectometry as a useful tool in other research fields and in the industry.This paper presents an attempt to summarize the status of deflectometry, and to map relations between its notable "spin-off" branches. The intention of the paper is to provide a common communication basis for practitioners and at the same time to offer a convenient entry point for those interested in learning and using the method. The list of references is extensive but definitely not exhaustive, introducing some prominent trends and established research groups in order to facilitate further selfdirected exploration by the reader.

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Vision ray metrology for freeform optics

et al. 2021

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Vision ray techniques are known in the optical community to provide low-uncertainty image formation models. In this work, we extend this approach and propose a vision ray metrology system that estimates the geometric wavefront of a measurement sample using the sample-induced deflection in the vision rays. We show the feasibility of this approach using simulations and measurements of spherical and freeform optics. In contrast to the competitive technique deflectometry, this approach relies on differential measurements and, hence, requires no elaborated calibration procedure that uses sophisticated optimization algorithms to estimate geometric constraints. Applications of this work are the metrology and alignment of freeform optics.

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2D zonal integration with unordered data

Cited by 5 publications

References 15 publications

Deflectometry for specular surfaces: an overview

Deflectometry for specular surfaces: an overview

Deflectometry for specular surfaces: an overview

Vision ray metrology for freeform optics

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