In this paper, we propose a novel method to extrinsically calibrate a camera to a 3D reference object that is not directly visible from the camera. We use a human cornea as a spherical mirror and calibrate the extrinsic parameters from the reflections of the reference points. The main contribution of this paper is to present a cornea-reflection-based calibration algorithm with a simple configuration: five reference points on a single plane and one mirror pose. In this paper, we derive a linear equation and obtain a closed-form solution of extrinsic calibration by introducing two ideas. The first is to model the cornea as a virtual sphere, which enables us to estimate the center of the cornea sphere from its projection. The second is to use basis vectors to represent the position of the reference points, which enables us to deal with 3D information of reference points compactly. We demonstrate the performance of the proposed method with qualitative and quantitative evaluations using synthesized and real data.
Kosuke TAKAHASHI
Nippon Telegraph and Telephone Corporation
Dan MIKAMI
Nippon Telegraph and Telephone Corporation
Mariko ISOGAWA
Nippon Telegraph and Telephone Corporation
Akira KOJIMA
Nippon Telegraph and Telephone Corporation
Hideaki KIMATA
Nippon Telegraph and Telephone Corporation
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Kosuke TAKAHASHI, Dan MIKAMI, Mariko ISOGAWA, Akira KOJIMA, Hideaki KIMATA, "Extrinsic Camera Calibration of Display-Camera System with Cornea Reflections" in IEICE TRANSACTIONS on Information,
vol. E101-D, no. 12, pp. 3199-3208, December 2018, doi: 10.1587/transinf.2018EDP7184.
Abstract: In this paper, we propose a novel method to extrinsically calibrate a camera to a 3D reference object that is not directly visible from the camera. We use a human cornea as a spherical mirror and calibrate the extrinsic parameters from the reflections of the reference points. The main contribution of this paper is to present a cornea-reflection-based calibration algorithm with a simple configuration: five reference points on a single plane and one mirror pose. In this paper, we derive a linear equation and obtain a closed-form solution of extrinsic calibration by introducing two ideas. The first is to model the cornea as a virtual sphere, which enables us to estimate the center of the cornea sphere from its projection. The second is to use basis vectors to represent the position of the reference points, which enables us to deal with 3D information of reference points compactly. We demonstrate the performance of the proposed method with qualitative and quantitative evaluations using synthesized and real data.
URL: https://global.ieice.org/en_transactions/information/10.1587/transinf.2018EDP7184/_p
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@ARTICLE{e101-d_12_3199,
author={Kosuke TAKAHASHI, Dan MIKAMI, Mariko ISOGAWA, Akira KOJIMA, Hideaki KIMATA, },
journal={IEICE TRANSACTIONS on Information},
title={Extrinsic Camera Calibration of Display-Camera System with Cornea Reflections},
year={2018},
volume={E101-D},
number={12},
pages={3199-3208},
abstract={In this paper, we propose a novel method to extrinsically calibrate a camera to a 3D reference object that is not directly visible from the camera. We use a human cornea as a spherical mirror and calibrate the extrinsic parameters from the reflections of the reference points. The main contribution of this paper is to present a cornea-reflection-based calibration algorithm with a simple configuration: five reference points on a single plane and one mirror pose. In this paper, we derive a linear equation and obtain a closed-form solution of extrinsic calibration by introducing two ideas. The first is to model the cornea as a virtual sphere, which enables us to estimate the center of the cornea sphere from its projection. The second is to use basis vectors to represent the position of the reference points, which enables us to deal with 3D information of reference points compactly. We demonstrate the performance of the proposed method with qualitative and quantitative evaluations using synthesized and real data.},
keywords={},
doi={10.1587/transinf.2018EDP7184},
ISSN={1745-1361},
month={December},}
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TY - JOUR
TI - Extrinsic Camera Calibration of Display-Camera System with Cornea Reflections
T2 - IEICE TRANSACTIONS on Information
SP - 3199
EP - 3208
AU - Kosuke TAKAHASHI
AU - Dan MIKAMI
AU - Mariko ISOGAWA
AU - Akira KOJIMA
AU - Hideaki KIMATA
PY - 2018
DO - 10.1587/transinf.2018EDP7184
JO - IEICE TRANSACTIONS on Information
SN - 1745-1361
VL - E101-D
IS - 12
JA - IEICE TRANSACTIONS on Information
Y1 - December 2018
AB - In this paper, we propose a novel method to extrinsically calibrate a camera to a 3D reference object that is not directly visible from the camera. We use a human cornea as a spherical mirror and calibrate the extrinsic parameters from the reflections of the reference points. The main contribution of this paper is to present a cornea-reflection-based calibration algorithm with a simple configuration: five reference points on a single plane and one mirror pose. In this paper, we derive a linear equation and obtain a closed-form solution of extrinsic calibration by introducing two ideas. The first is to model the cornea as a virtual sphere, which enables us to estimate the center of the cornea sphere from its projection. The second is to use basis vectors to represent the position of the reference points, which enables us to deal with 3D information of reference points compactly. We demonstrate the performance of the proposed method with qualitative and quantitative evaluations using synthesized and real data.
ER -