Journal ArticleDOI
Improvement of least-squares integration method with iterative compensations in fringe reflectometry.
Lei Huang,Anand Asundi +1 more
TLDR
An operation with iterative compensations is proposed, especially for the traditional least-squares integration method, to improve its integration accuracy.Abstract:
Least-squares integration is one of the most effective and widely used methods for shape reconstruction from gradient data, which result from gradient measurement techniques. However, its reconstruction accuracy is limited due to the imperfection of the Southwell grid model, which is commonly applied in the least-squares integration method. An operation with iterative compensations is therefore proposed, especially for the traditional least-squares integration method, to improve its integration accuracy. Simulation and experiment are carried out to verify the feasibility and superiority of the proposed operation. This compensatory operation with iterations is suggested, and its good performance on integration accuracy improvement is shown.read more
Citations
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Journal ArticleDOI
Review of phase measuring deflectometry
TL;DR: The fundamental principle and the basic concepts of PMD technique are introduced and followed by a brief overview of its key developments since it was first proposed to provide some suggestions for potential future investigations.
Journal ArticleDOI
Comparison of two-dimensional integration methods for shape reconstruction from gradient data
TL;DR: In this work, three types of two-dimensional integration methods are compared under various conditions to provide suggestions in selection of a proper integration method for a particular application.
Journal ArticleDOI
Review of optical freeform surface representation technique and its application
TL;DR: A detailed review of the different types of optical freeform surface representation techniques and their applications and discuss their properties and differences is presented.
Journal ArticleDOI
Improving wavefront reconstruction accuracy by using integration equations with higher-order truncation errors in the Southwell geometry
TL;DR: A general method based on the Taylor theorem is proposed to derive all kinds of IEs, and it is found that an IE with a smaller TE has a higher-order TE.
Journal ArticleDOI
Three-Dimensional Shape Measurements of Specular Objects Using Phase-Measuring Deflectometry.
TL;DR: This work presents a review of the relevant techniques regarding classical and improved phase-measuring deflectometry, and discusses the challenges and future research directions to further advance PMD techniques.
References
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Journal ArticleDOI
Overview of three-dimensional shape measurement using optical methods
TL;DR: An overview of 3-D shape measurement using various optical methods, and a focus on structured light tech- niques where various optical configurations, image acquisition technology, data postprocessing and analysis methods and advantages and limitations are presented.
Journal ArticleDOI
Wave-front estimation from wave-front slope measurements
TL;DR: In this paper, the problem of wavefront estimation from wave-front slope measurements has been examined from a least-squares curve fitting model point of view, and a new zonal phase gradient model is introduced and its error propagator, which relates the mean square wavefront error to the noisy slope measurements, has been compared with two previously used models.
Journal ArticleDOI
History and Principles of Shack-Hartmann Wavefront Sensing
Ben C Platt,Roland Shack +1 more
TL;DR: Enhanced images of satellites are enhanced by inserting a beam splitter in collimated space behind the eyepiece and placing a plate with holes in it at the image of the pupil, which captures a snapshot of the atmospheric aberrations rather than to average over time.
Journal ArticleDOI
Least-square fitting a wave-front distortion estimate to an array of phase-difference measurements
TL;DR: In this article, the problem of fitting a wavefront distortion estimate to a (single-instant) set of phase-difference measurements has been formulated as an unweighted least-square problem.
Proceedings ArticleDOI
Phase measuring deflectometry: a new approach to measure specular free-form surfaces
TL;DR: In this paper, a stereo-based enhancement of phase measuring deflectometry (PMD) is proposed to measure the height and the slope of specular free-form surfaces within seconds.