首页|Least Squares Association of Geometrical Features by Automatic Differentiation

Least Squares Association of Geometrical Features by Automatic Differentiation

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  • NETL
  • NSTL
  • Trans Tech Publications Ltd
Least squares association of geometrical features plays an important role in geometrical product specification and verification. Most existing algorithms for the least squares association today usually do not give the covariance matrix associated with the parameters of the respective geometrical feature. The reason is that the complexity of these algorithms can be very high, because partial differential quotients are needed. If the necessary partial difference quotients are calculated by hand and subsequently coded into an algorithm, there is a high risk to introduce unwillingly errors. This paper shows how the least squares algorithm can automatically be generated solely from the equation specifying the distance function of the measured points from the geometrical feature.

least squaresassociationgeometrical featuresautomatic differentiation

Michael Krystek、Shi Zhaoyao、Lin Jiachun

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Physikalisch-Technische Bundesanstalt,Bundesallee 100, D-38116 Braunschweig, Germany

College of Mechanical Engineering and Applied Electronics Technology, Beijing University of Technology, 100 Pingleyuan, Chaoyang District, Beijing, 100124, P.R. China

2010

10.4028/www.scientific.net/KEM.437.222

Key engineering materials

Key engineering materials

ISSN：1013-9826
年,卷(期)：2010.437
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