Computing the Mean of Geometric Features Application
to the Mean Rotation
Xavier Pennec
To cite this version:
Xavier Pennec. Computing the Mean of Geometric Features Application to the Mean Rotation.
RR-3371, INRIA. 1998. <inria-00073318>
HAL Id: inria-00073318
https://hal.inria.fr/inria-00073318
Submitted on 24 May 2006
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INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE
Computing the mean of geometric features
Application to the mean rotation
Xavier Pennec
N˚ 3371
March 1998
THÈME 3
ISSN 0249-6399
apport
de recherche
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Relative error on the LSQ and WLSQ mean rotations
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(reference : MAHA error
5.0
Ratio LSQ / MAHA
Ratio WLSQ / MAHA
Ratio LSQ / MAHA
Ratio WLSQ / MAHA
4.0
4.0
Ratio of the rotation errors
Ratio of the mean points errors
−− ISD measurements)
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Number of features
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80.0
0.0
0.0
20.0
40.0
Number of features
60.0
80.0
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Validation of the mean rotation uncertainty with LSQ
Validation of the mean rotation uncertainty with LSQ
Known covariance on rotations −− IDD measurements
Uncertainty estimated from residual rotations −− ISD measurements
8.0
15.0
Validation index
Validation index
6.0
10.0
4.0
5.0
2.0
0.0
1.0
0.0
1.000
Value for 500 estimations
Value for 500 estimations
Confidence of the K−S test
0.100
1%
0.010
0.1
Confidence of the K−S test
K−S test rejected
0.001
1%
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Unité de recherche INRIA Sophia Antipolis
2004, route des Lucioles - B.P. 93 - 06902 Sophia Antipolis Cedex (France)
Unité de recherche INRIA Lorraine : Technopôle de Nancy-Brabois - Campus scientifique
615, rue du Jardin Botanique - B.P. 101 - 54602 Villers lès Nancy Cedex (France)
Unité de recherche INRIA Rennes : IRISA, Campus universitaire de Beaulieu - 35042 Rennes Cedex (France)
Unité de recherche INRIA Rhône-Alpes : 655, avenue de l’Europe - 38330 Montbonnot St Martin (France)
Unité de recherche INRIA Rocquencourt : Domaine de Voluceau - Rocquencourt - B.P. 105 - 78153 Le Chesnay Cedex (France)
Éditeur
INRIA - Domaine de Voluceau - Rocquencourt, B.P. 105 - 78153 Le Chesnay Cedex (France)
ISSN 0249-6399