Improvement of high-order least-squares integration method for stereo deflectometry

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

Stereo deflectometry is defined as measurement of the local slope of specular surfaces by using two CCD cameras as detectors and one LCD screen as a light source. For obtaining 3D topography, integrating the calculated slope data is needed. Currently, a high-order finite-difference-based least-squares integration (HFLI) method is used to improve the integration accuracy. However, this method cannot be easily implemented in circular domain or when gradient data are incomplete. This paper proposes 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. To carry out the proposed algorithm in a practical stereo deflectometry measurement, gradients are calculated in both CCD frames, and then are mixed together as original data to be meshed into rectangular grids format. Simulation and experiments show this modified method is feasible and can work efficiently.
LanguageEnglish
Pages10249-10255
Number of pages7
JournalApplied Optics
Volume54
Issue number34
DOIs
Publication statusPublished - 30 Nov 2015

Fingerprint

gradients
slopes
CCD cameras
format
charge coupled devices
topography
light sources
grids
detectors
simulation

Cite this

@article{c643c9a776994b83a591dc1996fb1e1e,
title = "Improvement of high-order least-squares integration method for stereo deflectometry",
abstract = "Stereo deflectometry is defined as measurement of the local slope of specular surfaces by using two CCD cameras as detectors and one LCD screen as a light source. For obtaining 3D topography, integrating the calculated slope data is needed. Currently, a high-order finite-difference-based least-squares integration (HFLI) method is used to improve the integration accuracy. However, this method cannot be easily implemented in circular domain or when gradient data are incomplete. This paper proposes 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. To carry out the proposed algorithm in a practical stereo deflectometry measurement, gradients are calculated in both CCD frames, and then are mixed together as original data to be meshed into rectangular grids format. Simulation and experiments show this modified method is feasible and can work efficiently.",
keywords = "Stereo deflectometry, 3D topography, HFLI method",
author = "Hongyu Ren and Feng Gao and Xiangqian Jiang",
year = "2015",
month = "11",
day = "30",
doi = "10.1364/AO.54.010249",
language = "English",
volume = "54",
pages = "10249--10255",
journal = "Applied Optics",
issn = "1559-128X",
publisher = "The Optical Society",
number = "34",

}

Improvement of high-order least-squares integration method for stereo deflectometry. / Ren, Hongyu; Gao, Feng; Jiang, Xiangqian.

In: Applied Optics, Vol. 54, No. 34, 30.11.2015, p. 10249-10255.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Improvement of high-order least-squares integration method for stereo deflectometry

AU - Ren, Hongyu

AU - Gao, Feng

AU - Jiang, Xiangqian

PY - 2015/11/30

Y1 - 2015/11/30

N2 - Stereo deflectometry is defined as measurement of the local slope of specular surfaces by using two CCD cameras as detectors and one LCD screen as a light source. For obtaining 3D topography, integrating the calculated slope data is needed. Currently, a high-order finite-difference-based least-squares integration (HFLI) method is used to improve the integration accuracy. However, this method cannot be easily implemented in circular domain or when gradient data are incomplete. This paper proposes 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. To carry out the proposed algorithm in a practical stereo deflectometry measurement, gradients are calculated in both CCD frames, and then are mixed together as original data to be meshed into rectangular grids format. Simulation and experiments show this modified method is feasible and can work efficiently.

AB - Stereo deflectometry is defined as measurement of the local slope of specular surfaces by using two CCD cameras as detectors and one LCD screen as a light source. For obtaining 3D topography, integrating the calculated slope data is needed. Currently, a high-order finite-difference-based least-squares integration (HFLI) method is used to improve the integration accuracy. However, this method cannot be easily implemented in circular domain or when gradient data are incomplete. This paper proposes 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. To carry out the proposed algorithm in a practical stereo deflectometry measurement, gradients are calculated in both CCD frames, and then are mixed together as original data to be meshed into rectangular grids format. Simulation and experiments show this modified method is feasible and can work efficiently.

KW - Stereo deflectometry

KW - 3D topography

KW - HFLI method

U2 - 10.1364/AO.54.010249

DO - 10.1364/AO.54.010249

M3 - Article

VL - 54

SP - 10249

EP - 10255

JO - Applied Optics

T2 - Applied Optics

JF - Applied Optics

SN - 1559-128X

IS - 34

ER -