Optimal Structure-from-Motion Algorithm for Optical Flow

Naoya OHTA; Kenichi KANATANI

Optimal Structure-from-Motion Algorithm for Optical Flow

Naoya OHTA, Kenichi KANATANI

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This paper presents a new method for solving the structure-from-motion problem for optical flow. The fact that the structure-from-motion problem can be simplified by using the linearization technique is well known. However, it has been pointed out that the linearization technique reduces the accuracy of the computation. In this paper, we overcome this disadvantage by correcting the linearized solution in a statistically optimal way. Computer simulation experiments show that our method yields an unbiased estimator of the motion parameters which almost attains the theoretical bound on accuracy. Our method also enables us to evaluate the reliability of the reconstructed structure in the form of the covariance matrix. Real-image experiments are conducted to demonstrate the effectiveness of our method.

Publication: IEICE TRANSACTIONS on Information Vol.E78-D No.12 pp.1559-1566

Publication Date: 1995/12/25

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Type of Manuscript: Special Section PAPER (Special Issue on Machine Vision Applications)

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Naoya OHTA, Kenichi KANATANI, "Optimal Structure-from-Motion Algorithm for Optical Flow" in IEICE TRANSACTIONS on Information, vol. E78-D, no. 12, pp. 1559-1566, December 1995, doi: .
Abstract: This paper presents a new method for solving the structure-from-motion problem for optical flow. The fact that the structure-from-motion problem can be simplified by using the linearization technique is well known. However, it has been pointed out that the linearization technique reduces the accuracy of the computation. In this paper, we overcome this disadvantage by correcting the linearized solution in a statistically optimal way. Computer simulation experiments show that our method yields an unbiased estimator of the motion parameters which almost attains the theoretical bound on accuracy. Our method also enables us to evaluate the reliability of the reconstructed structure in the form of the covariance matrix. Real-image experiments are conducted to demonstrate the effectiveness of our method.
URL: https://global.ieice.org/en_transactions/information/10.1587/e78-d_12_1559/_p

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@ARTICLE{e78-d_12_1559,
author={Naoya OHTA, Kenichi KANATANI, },
journal={IEICE TRANSACTIONS on Information},
title={Optimal Structure-from-Motion Algorithm for Optical Flow},
year={1995},
volume={E78-D},
number={12},
pages={1559-1566},
abstract={This paper presents a new method for solving the structure-from-motion problem for optical flow. The fact that the structure-from-motion problem can be simplified by using the linearization technique is well known. However, it has been pointed out that the linearization technique reduces the accuracy of the computation. In this paper, we overcome this disadvantage by correcting the linearized solution in a statistically optimal way. Computer simulation experiments show that our method yields an unbiased estimator of the motion parameters which almost attains the theoretical bound on accuracy. Our method also enables us to evaluate the reliability of the reconstructed structure in the form of the covariance matrix. Real-image experiments are conducted to demonstrate the effectiveness of our method.},
keywords={},
doi={},
ISSN={},
month={December},}

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TY - JOUR
TI - Optimal Structure-from-Motion Algorithm for Optical Flow
T2 - IEICE TRANSACTIONS on Information
SP - 1559
EP - 1566
AU - Naoya OHTA
AU - Kenichi KANATANI
PY - 1995
DO -
JO - IEICE TRANSACTIONS on Information
SN -
VL - E78-D
IS - 12
JA - IEICE TRANSACTIONS on Information
Y1 - December 1995
AB - This paper presents a new method for solving the structure-from-motion problem for optical flow. The fact that the structure-from-motion problem can be simplified by using the linearization technique is well known. However, it has been pointed out that the linearization technique reduces the accuracy of the computation. In this paper, we overcome this disadvantage by correcting the linearized solution in a statistically optimal way. Computer simulation experiments show that our method yields an unbiased estimator of the motion parameters which almost attains the theoretical bound on accuracy. Our method also enables us to evaluate the reliability of the reconstructed structure in the form of the covariance matrix. Real-image experiments are conducted to demonstrate the effectiveness of our method.
ER -