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Authors: Norio Tagawa and Ming Yang

Affiliation: Graduate School of Systems Design, Tokyo Metropolitan University, 6-6 Asahigaoka, Hino, Tokyo, Japan

Keyword(s): Camera Motion, Optical Flow, Minimum Variance, Unbiased Estimator, Neyman–Scott Problem.

Abstract: This study deals with the problem of estimating camera motion from optical flow, which is the motion vector between consecutive frames. The problem is formulated as a geometric fitting problem using the values of the depth map as the nuisance parameters. It is a problem whose maximum likelihood estimation does not satisfy the Cramer–Rao lower bound, and it has long been known as the Neyman–Scott problem. One of the authors previously proposed an objective function for this problem that, when minimized, yields an estimator with less variance in the estimation error than that obtained by maximum likelihood estimation. The author also proposed linear and nonlinear optimization methods for minimizing the objective function. In this paper, we provide new knowledge on these methods and evaluate their effectiveness by examining methods with low estimation error and low computational cost in practice.

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Paper citation in several formats:
Tagawa, N. and Yang, M. (2023). On Computing Three-Dimensional Camera Motion from Optical Flow Detected in Two Consecutive Frames. In Proceedings of the 18th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications (VISIGRAPP 2023) - Volume 5: VISAPP; ISBN 978-989-758-634-7; ISSN 2184-4321, SciTePress, pages 931-942. DOI: 10.5220/0011785300003417

@conference{visapp23,
author={Norio Tagawa. and Ming Yang.},
title={On Computing Three-Dimensional Camera Motion from Optical Flow Detected in Two Consecutive Frames},
booktitle={Proceedings of the 18th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications (VISIGRAPP 2023) - Volume 5: VISAPP},
year={2023},
pages={931-942},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0011785300003417},
isbn={978-989-758-634-7},
issn={2184-4321},
}

TY - CONF

JO - Proceedings of the 18th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications (VISIGRAPP 2023) - Volume 5: VISAPP
TI - On Computing Three-Dimensional Camera Motion from Optical Flow Detected in Two Consecutive Frames
SN - 978-989-758-634-7
IS - 2184-4321
AU - Tagawa, N.
AU - Yang, M.
PY - 2023
SP - 931
EP - 942
DO - 10.5220/0011785300003417
PB - SciTePress

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