ISSN 0021-3454 (print version)
ISSN 2500-0381 (online version)
Menu

6
Issue
vol 61 / JUNE, 2018
Article

DOI 10.17586/0021-3454-2017-60-12-1157-1160

UDC 681.786

ERROR ANALYSIS OF OBJECT ROTATION PARAMETERS MEASUREMENT WITH AUTOCOLLIMATION METHOD USING COMPUTER MODELS ON THE BASE OF QUATERNIONS

V. P. Hoang
ITMO University, Department of Optical-Electronic Devices and Systems; Post-Graduate


I. A. Konyakhin
ITMO University; Professor


Read the full article 

Abstract. A computer model of autocollimator, based on description of object rotations by the quaternionic method, is considered. The effects of main primary errors of autocollimation angular measuring system on the measurement error of the position axis and magnitude of object rotation are analyzed. Comparison of autocollimation measuring algorithms based on quaternionic and matrix models is carried out using the criterion of the influence of deviations of autocollimator parameters on the total measurement uncertainty. 
Keywords: autocollimation method, quaternionic method, parameters of rotation, measurement error

References:
  1. Dzhabiev A.N., Konyakhin I.A., Pankov E.D. Avtokollimatsionnye ugloizmeritel'nye sredstva monitoringa deformatsiy (Basic Angle Measuring Means of Deformation Monitoring), St. Petersburg, 2000, 197 р. (in Russ.)
  2. Granino A.K., Theresa M.K. Mathematical handbook for scientists and engineers: definitions, theorems, and formulas for reference and review, NY, Dover Publications, 2000, 1130 р.
  3. Erdogdu M. and Ozdemir M. On Eigenvalues of Split Quaternion Matrices, Advances in Applied Cliff ord Algebras, 2013, no. 23, May, pp. 615–623.
  4. Branets V.N., Shmyglevskiy I.P. Primenenie kvaternionov v zadachakh orientatsii tverdogo tela (Application of Quaternions in Problems of Orientation of a Solid Body), Moscow, 1973, 320 р. (in Russ.)
  5. Konyakhin I.A., Khoang V.F. Scientific and Technical Journal of Information Technologies, Mechanics and Optics, 2016, no. 5(16), pp. 773–779. (in Russ.)
  6. Turgalieva T.V., Konyakhin I.A. Proc. SPIE, Optical Measurement Systems for Industrial Inspection VIII, Munich, 2013, no. 8788, рр. 1–7(878832).