Paper Title:
Least Squares Association of Geometrical Features by Automatic Differentiation
  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.

  Info
Periodical
Edited by
Yuri Chugui, Yongsheng Gao, Kuang-Chao Fan, Roald Taymanov and Ksenia Sapozhnikova
Pages
222-226
DOI
10.4028/www.scientific.net/KEM.437.222
Citation
M. P. Krystek, Z. Y. Shi, J. C. Lin, "Least Squares Association of Geometrical Features by Automatic Differentiation ", Key Engineering Materials, Vol. 437, pp. 222-226, 2010
Online since
May 2010
Export
Price
$32.00
Share

In order to see related information, you need to Login.

In order to see related information, you need to Login.

Authors: Ji Guang Han, Gui Cheng Wang
Abstract:The traditional design and analysis method for the eccentric involutes gears transmission has model error. Some important parameters, such as...
985
  | Authors: Władysław Jakubiec
Abstract:The paper describes a new method for analytical estimation of the uncertainty component introduced by the CMM, including temperature...
253
Authors: Khaled Assad Arrouk, Belhassen Chedli Bouzgarrou, Sergiu Dan Stan, Grigore Gogu
Abstract:In this paper a new method for determination and optimization of the workspace of parallel manipulators is presented. The proposed method is...
33
Authors: Shi Ying Yu, Yong Shang, Fang Yang, Xue Dong Tian
Chapter 19: Software Development and Mathematical Modeling
Abstract:As an important step of printed formula recognition system, formula extraction locates the formula fields on the layout images of printed...
2878
Authors: Wang Bo, Guo Lei Zheng, Li Hua Duan
Chapter 7: Modeling and Simulation Technology of Systems
Abstract:The geometrical element chain method (GECM) is a tolerance analysis approach based on parametrical driving theory, with the principle of...
925