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Author:

Krystek, Michael (Krystek, Michael.) | Shi Zhaoyao (Shi Zhaoyao.) (Scholars:石照耀) | Lin Jiachun (Lin Jiachun.)

Indexed by:

CPCI-S EI Scopus

Abstract:

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.

Keyword:

Automatic Differentiation Least Squares Association Geometrical Features

Author Community:

  • [ 1 ] [Krystek, Michael]Phys Tech Bundesanstalt, Bundesallee 100, D-38116 Braunschweig, Germany
  • [ 2 ] [Shi Zhaoyao]Beijing Univ Technol, Coll Mech Engn & Appl Elect Technol, Beijing 100124, Peoples R China
  • [ 3 ] [Lin Jiachun]Beijing Univ Technol, Coll Mech Engn & Appl Elect Technol, Beijing 100124, Peoples R China

Reprint Author's Address:

  • [Krystek, Michael]Phys Tech Bundesanstalt, Bundesallee 100, D-38116 Braunschweig, Germany

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Source :

MEASUREMENT TECHNOLOGY AND INTELLIGENT INSTRUMENTS IX

ISSN: 1013-9826

Year: 2010

Volume: 437

Page: 222-,

Language: English

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count: 1

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 6

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