Active-target-based calibration of relative poses of mirrors in intraoral scanners

Huijie Zhao; Xiaoyue Liang; Hongzhi Jiang; Xudong Li

doi:10.1364/AO.56.000147

Applied Optics
Vol. 56,
Issue 2,
pp. 147-155
(2017)
•https://doi.org/10.1364/AO.56.000147

Active-target-based calibration of relative poses of mirrors in intraoral scanners

Huijie Zhao, Xiaoyue Liang, Hongzhi Jiang, and Xudong Li

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Huijie Zhao, Xiaoyue Liang, Hongzhi Jiang, and Xudong Li, "Active-target-based calibration of relative poses of mirrors in intraoral scanners," Appl. Opt. 56, 147-155 (2017)

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- Machine Vision
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About this Article
History
- Original Manuscript: September 27, 2016
- Revised Manuscript: November 24, 2016
- Manuscript Accepted: November 25, 2016
- Published: January 3, 2017
Virtual Issues
Virtual Journal for Biomedical Optics Vol. 12, Iss. 3

Abstract

This paper describes a practical method using an active target to calibrate relative poses of mirrors in intraoral scanners. Intraoral scanning is a fast-growing technology. Mirrors are widely used in intraoral scanners to increase the measuring area of a single view. The relative poses of these mirrors must be calibrated for accurate three-dimensional profiling. We present and analyze the geometric model of multiview mirrors. A calibration method for relative poses of mirrors is developed based on fringe projection. Vertical and horizontal fringes are displayed on an active target, and every pixel can be viewed as a calibration marker. This calibration method allows the mirrors to have a narrow common field of view. A cell phone display is chosen as the active target, and experimental results demonstrate the effectiveness of the proposed method compared to traditional methods.

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Relative Poses		Homologous Points Method	Traditional Passive Target Method	Proposed Active Target Method
$l_{2}$ to $l_{1}$	$R$	0.733,−0.503,0.458 0.123,0.760,0.638 −0.669,−0.411,0.619	0.737,−0.500,0.455 0.120,0.760,0.639 −0.665,−0.416,0.620	0.737, −0.501,0.455 0.127,0.763,0.634 −0.664,−0.409,0.625
$l_{2}$ to $l_{1}$	$T$	−48.573,−66.838,38.916	−48.155,−66.863,39.152	−47.997,−66.213,38.504
$l_{3}$ to $l_{1}$	$R$	0.636,0.533,−0.558 0.034,0.704,0.710 0.771,−0.470,0.430	0.750,0.504,−0.428 −0.120,0.740,0.662 0.650,−0.446,0.615	0.752,0.506,−0.424 −0.118,0.735,0.668 0.649,−0.452,0.612
$l_{3}$ to $l_{1}$	$T$	54.762,−76.942,75.399	39.683,−71.971,53.900	39.089,−72.197,54.262
$l_{4}$ to $l_{1}$	$R$	0.993,0.009,−0.119 0.077,0.718,0.692 0.092,−0.696,0.712	1.000,0.002,0.008 −0.007,0.676,0.737 −0.004,−0.737,0.676	1.000, 0.000, 0.002 −0.002,0.688,0.726 −0.001,−0.726,0.688
$l_{4}$ to $l_{1}$	$T$	14.042,−72.363,41.308	−0.937,−78.327,44.969	−0.257,−77.104,43.582

	Homologous Points Method	Traditional Passive Target Method	Proposed Active Target Method
Standard deviation	0.245	0.070	0.053

	Homologous Points Method	Traditional Passive Target Method	Proposed Active Target Method
Standard deviation	0.124	0.099	0.048

	Homologous Points Method	Traditional Passive Target Method	Proposed Active Target Method
Standard deviation	0.074	0.046	0.030

Relative Poses		Homologous Points Method	Traditional Passive Target Method	Proposed Active Target Method
$l_{2}$ to $l_{1}$	$R$	0.733,−0.503,0.458 0.123,0.760,0.638 −0.669,−0.411,0.619	0.737,−0.500,0.455 0.120,0.760,0.639 −0.665,−0.416,0.620	0.737, −0.501,0.455 0.127,0.763,0.634 −0.664,−0.409,0.625
$l_{2}$ to $l_{1}$	$T$	−48.573,−66.838,38.916	−48.155,−66.863,39.152	−47.997,−66.213,38.504
$l_{3}$ to $l_{1}$	$R$	0.636,0.533,−0.558 0.034,0.704,0.710 0.771,−0.470,0.430	0.750,0.504,−0.428 −0.120,0.740,0.662 0.650,−0.446,0.615	0.752,0.506,−0.424 −0.118,0.735,0.668 0.649,−0.452,0.612
$l_{3}$ to $l_{1}$	$T$	54.762,−76.942,75.399	39.683,−71.971,53.900	39.089,−72.197,54.262
$l_{4}$ to $l_{1}$	$R$	0.993,0.009,−0.119 0.077,0.718,0.692 0.092,−0.696,0.712	1.000,0.002,0.008 −0.007,0.676,0.737 −0.004,−0.737,0.676	1.000, 0.000, 0.002 −0.002,0.688,0.726 −0.001,−0.726,0.688
$l_{4}$ to $l_{1}$	$T$	14.042,−72.363,41.308	−0.937,−78.327,44.969	−0.257,−77.104,43.582

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Applied Optics