Calibration of Accelerometers and the Geometry of Quadrics

被引：0
|
作者：
Evain, Laurent [1 ]
机构：
[1] Univ Angers, Angers, France
来源：
MATHEMATICAL SOFTWARE, ICMS 2016 | 2016年 / 9725卷
关键词：
Accelerometer; Calibration; Quadrics;
D O I：
10.1007/978-3-319-42432-3_17
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
We study a method of calibration of accelerometers usable on field. No tools are required except a computer. Since the method is purely mathematical, free from measurement tools errors, it is both precise and affordable. We prove that the calibration of an accelerometer with three axis is possible with 9 random measurements exactly when the sphere is the unique quadric containing the nine directions of measurements.
引用
收藏
页码：136 / 141
页数：6
相关论文
共 50 条
  • [1] BIRATIONAL GEOMETRY OF QUADRICS
    Totaro, Burt
    BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE, 2009, 137 (02): : 253 - 276
  • [2] ON THE GEOMETRY OF QUADRICS AND THEIR DEGENERATIONS
    DECONCINI, C
    GORESKY, M
    MACPHERSON, R
    PROCESI, C
    COMMENTARII MATHEMATICI HELVETICI, 1988, 63 (03) : 337 - 413
  • [3] On the geometry of generalized quadrics
    Kumar, N. Mohan
    Rao, A. P.
    Ravindra, G. V.
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2007, 208 (03) : 1051 - 1054
  • [4] On the calibration of accelerometers
    Vanherck, P.
    Revue M. Mecanique, 1988, 32 (3-4): : 91 - 97
  • [5] CALIBRATION OF ACCELEROMETERS
    LEVY, S
    MCPHERSON, AE
    HOBBS, EV
    JOURNAL OF RESEARCH OF THE NATIONAL BUREAU OF STANDARDS, 1948, 41 (05): : 359 - 368
  • [6] On the calibration of accelerometers
    Vanherck, P.
    European Journal of Mechanical and Environmental Engineering, 1988, 32 (3-4): : 91 - 97
  • [7] THE CALIBRATION OF AN ARRAY OF ACCELEROMETERS
    Dube, Dany
    Cardou, Philippe
    TRANSACTIONS OF THE CANADIAN SOCIETY FOR MECHANICAL ENGINEERING, 2011, 35 (02) : 251 - 267
  • [8] GRAVIMETRIC CALIBRATION OF ACCELEROMETERS
    LALLY, RW
    SOUND AND VIBRATION, 1978, 12 (11): : 4 - 6
  • [9] OPTICAL CALIBRATION OF ACCELEROMETERS
    EDELMAN, S
    JONES, E
    THOMPSON, MC
    JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1953, 25 (01): : 186 - 186
  • [10] THE GEOMETRY OF QUADRICS AND CORRELATIONS OF SEQUENCES
    GAMES, RA
    IEEE TRANSACTIONS ON INFORMATION THEORY, 1986, 32 (03) : 423 - 426
12345