This paper presents a theoretically best algorithm within the framework of our image noise model for reconstructing 3-D from two views when all the feature points are on a planar surface. Pointing out that statistical bias is introduced if the least-squares scheme is used in the presence of image noise, we propose a scheme called renormalization, which automatically removes statistical bias. We also present an optimal correction scheme for canceling the effect of image noise in individual feature points. Finally, we show numerical simulation and confirm the effectiveness of our method.
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Kenichi KANATANI, Sachio TAKEDA, "3-D Motion Analysis of a Planar Surface by Renormalization" in IEICE TRANSACTIONS on Information,
vol. E78-D, no. 8, pp. 1074-1079, August 1995, doi: .
Abstract: This paper presents a theoretically best algorithm within the framework of our image noise model for reconstructing 3-D from two views when all the feature points are on a planar surface. Pointing out that statistical bias is introduced if the least-squares scheme is used in the presence of image noise, we propose a scheme called renormalization, which automatically removes statistical bias. We also present an optimal correction scheme for canceling the effect of image noise in individual feature points. Finally, we show numerical simulation and confirm the effectiveness of our method.
URL: https://global.ieice.org/en_transactions/information/10.1587/e78-d_8_1074/_p
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@ARTICLE{e78-d_8_1074,
author={Kenichi KANATANI, Sachio TAKEDA, },
journal={IEICE TRANSACTIONS on Information},
title={3-D Motion Analysis of a Planar Surface by Renormalization},
year={1995},
volume={E78-D},
number={8},
pages={1074-1079},
abstract={This paper presents a theoretically best algorithm within the framework of our image noise model for reconstructing 3-D from two views when all the feature points are on a planar surface. Pointing out that statistical bias is introduced if the least-squares scheme is used in the presence of image noise, we propose a scheme called renormalization, which automatically removes statistical bias. We also present an optimal correction scheme for canceling the effect of image noise in individual feature points. Finally, we show numerical simulation and confirm the effectiveness of our method.},
keywords={},
doi={},
ISSN={},
month={August},}
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TY - JOUR
TI - 3-D Motion Analysis of a Planar Surface by Renormalization
T2 - IEICE TRANSACTIONS on Information
SP - 1074
EP - 1079
AU - Kenichi KANATANI
AU - Sachio TAKEDA
PY - 1995
DO -
JO - IEICE TRANSACTIONS on Information
SN -
VL - E78-D
IS - 8
JA - IEICE TRANSACTIONS on Information
Y1 - August 1995
AB - This paper presents a theoretically best algorithm within the framework of our image noise model for reconstructing 3-D from two views when all the feature points are on a planar surface. Pointing out that statistical bias is introduced if the least-squares scheme is used in the presence of image noise, we propose a scheme called renormalization, which automatically removes statistical bias. We also present an optimal correction scheme for canceling the effect of image noise in individual feature points. Finally, we show numerical simulation and confirm the effectiveness of our method.
ER -