Based on a simple model for the statistical error characteristics of range sensing, a numerical scheme called renormalization is presented for optimally fitting a planar surface to data points obtained by range sensing. The renormalization method has the advantage that not only an optimal fit is computed but also its reliability is automatically evaluated in the form of the covariance matrix. Its effectiveness is demonstrated by numerical simulation. A scheme for visualizing the reliability of computation by means of the primary deviation pair is also presented.
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Yasushi KANAZAWA, Kenichi KANATANI, "Reliability of Fitting a Plane to Range Data" in IEICE TRANSACTIONS on Information,
vol. E78-D, no. 12, pp. 1630-1635, December 1995, doi: .
Abstract: Based on a simple model for the statistical error characteristics of range sensing, a numerical scheme called renormalization is presented for optimally fitting a planar surface to data points obtained by range sensing. The renormalization method has the advantage that not only an optimal fit is computed but also its reliability is automatically evaluated in the form of the covariance matrix. Its effectiveness is demonstrated by numerical simulation. A scheme for visualizing the reliability of computation by means of the primary deviation pair is also presented.
URL: https://global.ieice.org/en_transactions/information/10.1587/e78-d_12_1630/_p
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@ARTICLE{e78-d_12_1630,
author={Yasushi KANAZAWA, Kenichi KANATANI, },
journal={IEICE TRANSACTIONS on Information},
title={Reliability of Fitting a Plane to Range Data},
year={1995},
volume={E78-D},
number={12},
pages={1630-1635},
abstract={Based on a simple model for the statistical error characteristics of range sensing, a numerical scheme called renormalization is presented for optimally fitting a planar surface to data points obtained by range sensing. The renormalization method has the advantage that not only an optimal fit is computed but also its reliability is automatically evaluated in the form of the covariance matrix. Its effectiveness is demonstrated by numerical simulation. A scheme for visualizing the reliability of computation by means of the primary deviation pair is also presented.},
keywords={},
doi={},
ISSN={},
month={December},}
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TY - JOUR
TI - Reliability of Fitting a Plane to Range Data
T2 - IEICE TRANSACTIONS on Information
SP - 1630
EP - 1635
AU - Yasushi KANAZAWA
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 - Based on a simple model for the statistical error characteristics of range sensing, a numerical scheme called renormalization is presented for optimally fitting a planar surface to data points obtained by range sensing. The renormalization method has the advantage that not only an optimal fit is computed but also its reliability is automatically evaluated in the form of the covariance matrix. Its effectiveness is demonstrated by numerical simulation. A scheme for visualizing the reliability of computation by means of the primary deviation pair is also presented.
ER -