Reconstruction of Three-Dimensional Maps Based on Closed-Form Solutions of the Variational Problem of Multisensor Data Registration
Publication type: Journal Article
Publication date: 2019-01-01
scimago Q2
wos Q3
SJR: 0.389
CiteScore: 1.1
Impact factor: 0.6
ISSN: 10645624, 15318362
General Mathematics
Abstract
A closed-form solution is proposed for the problem of minimizing a functional consisting of two terms measuring mean-square distances for visually associated characteristic points on an image and mean-square distances for point clouds in terms of a point-to-plane metric. An accurate method for reconstructing three-dimensional dynamic environment is presented, and the properties of closed-form solutions are described. The proposed approach improves the accuracy and convergence of reconstruction methods for complex and large-scale scenes.
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Vokhmintcev A. V. et al. Reconstruction of Three-Dimensional Maps Based on Closed-Form Solutions of the Variational Problem of Multisensor Data Registration // Doklady Mathematics. 2019. Vol. 99. No. 1. pp. 108-112.
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Vokhmintcev A. V., Mel'nikov A. V., Mironov K. V., Burlutskiy V. V. Reconstruction of Three-Dimensional Maps Based on Closed-Form Solutions of the Variational Problem of Multisensor Data Registration // Doklady Mathematics. 2019. Vol. 99. No. 1. pp. 108-112.
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TY - JOUR
DO - 10.1134/S1064562419010290
UR - https://doi.org/10.1134/S1064562419010290
TI - Reconstruction of Three-Dimensional Maps Based on Closed-Form Solutions of the Variational Problem of Multisensor Data Registration
T2 - Doklady Mathematics
AU - Vokhmintcev, A. V.
AU - Mel'nikov, A. V.
AU - Mironov, K. V.
AU - Burlutskiy, V. V.
PY - 2019
DA - 2019/01/01
PB - Pleiades Publishing
SP - 108-112
IS - 1
VL - 99
SN - 1064-5624
SN - 1531-8362
ER -
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@article{2019_Vokhmintcev,
author = {A. V. Vokhmintcev and A. V. Mel'nikov and K. V. Mironov and V. V. Burlutskiy},
title = {Reconstruction of Three-Dimensional Maps Based on Closed-Form Solutions of the Variational Problem of Multisensor Data Registration},
journal = {Doklady Mathematics},
year = {2019},
volume = {99},
publisher = {Pleiades Publishing},
month = {jan},
url = {https://doi.org/10.1134/S1064562419010290},
number = {1},
pages = {108--112},
doi = {10.1134/S1064562419010290}
}
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MLA
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Vokhmintcev, A. V., et al. “Reconstruction of Three-Dimensional Maps Based on Closed-Form Solutions of the Variational Problem of Multisensor Data Registration.” Doklady Mathematics, vol. 99, no. 1, Jan. 2019, pp. 108-112. https://doi.org/10.1134/S1064562419010290.