Journal ArticleDOI
Framework for gradient integration by combining radial basis functions method and least-squares method
Lei Huang,Anand Asundi +1 more
TLDR
A framework with a combination of the radial basis functions method and the least-squares integration method is proposed to improve the integration process from gradient to shape and is accurate, automatic, easily implemented, and robust.Abstract:
A framework with a combination of the radial basis functions (RBFs) method and the least-squares integration method is proposed to improve the integration process from gradient to shape. The principle of the framework is described, and the performance of the proposed method is investigated by simulation. Improvement in accuracy is verified by comparing the result with the usual RBFs-based subset-by-subset stitching method. The proposed method is accurate, automatic, easily implemented, and robust and even works with incomplete data.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
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.
Journal ArticleDOI
Zonal wavefront reconstruction in quadrilateral geometry for phase measuring deflectometry
TL;DR: This work considers the height increment as a more general connector to establish the height-slope relations for least-squares regression and presents a new idea for the zonal methods for quadrilateral geometry, which preserve many good aspects of the classical ones.
Journal ArticleDOI
Improvement of high-order least-squares integration method for stereo deflectometry.
TL;DR: A modified easy-implementation integration method based on HFLI (EI-HFLI), which can work in arbitrary domains, and can directly and conveniently handle incomplete gradient data is proposed.
References
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Journal ArticleDOI
Dynamic three-dimensional sensing for specular surface with monoscopic fringe reflectometry.
TL;DR: Dynamic full-field three-dimensional sensing of specular reflective surfaces can be conveniently implemented with fringe reflection technique with the assistance of the windowed Fourier ridges method as an advanced fringe demodulation technique.
Proceedings ArticleDOI
Evaluation methods for gradient measurement techniques
TL;DR: In this article, the authors presented an optimized and robust processing method to handle and prepare the measured gradients for deformation, wave-front, and object shape analysis using optical metrology methods.
Journal ArticleDOI
Improvement of least-squares integration method with iterative compensations in fringe reflectometry.
Lei Huang,Anand Asundi +1 more
TL;DR: An operation with iterative compensations is proposed, especially for the traditional least-squares integration method, to improve its integration accuracy.
Journal ArticleDOI
Fast full-field out-of-plane deformation measurement using fringe reflectometry
TL;DR: In this article, a two-directional fringe pattern is used to determine the deformation of specular surfaces using the windowed Fourier ridges method, and the whole measurement only requires a single image with the potential for high speed or even real time measurement.
Journal ArticleDOI
Industrial metrology: Engineering precision
TL;DR: The advent of three-dimensional optical metrology has brought many benefits to industrial quality control of aircraft engines, according to the turbine-blade manufacturer GE as discussed by the authors, and the benefits of 3D metrology can be found in many applications.