메뉴 건너뛰기




Volumn 36, Issue 12, 2003, Pages 2993-3012

Modeling the 3D kinematics of the eye in the geometric algebra framework

Author keywords

Binocular systems; Clifford geometric algebra; Kinematics of the eye; Listing's law; Mathematics of the 3D eye movements; Motors; Screw theory

Indexed keywords

EYE MOVEMENTS; LINEAR EQUATIONS; MATHEMATICAL MODELS; MATRIX ALGEBRA; PATHOLOGY;

EID: 0142057122     PISSN: 00313203     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0031-3203(03)00180-8     Document Type: Article
Times cited : (16)

References (34)
  • 1
    • 0001326011 scopus 로고
    • Der Ort der Hamilton'schen Quaternionen in der Ausdehnungslehre
    • Grassmann H. Der Ort der Hamilton'schen Quaternionen in der Ausdehnungslehre Math. Ann. 12 1877 375
    • (1877) Math. Ann. , vol.12 , pp. 375
    • Grassmann, H.1
  • 2
    • 84960556043 scopus 로고
    • Preliminary sketch of bi-quaternions
    • Clifford W.K. Preliminary sketch of bi-quaternions Proc. London Math. Soc. 4 1873 381-395
    • (1873) Proc. London Math. Soc. , vol.4 , pp. 381-395
    • Clifford, W.K.1
  • 4
    • 84898809308 scopus 로고    scopus 로고
    • Geometric Algebra: A framework for computing point and line correspondences and projective structure using n uncalibrated cameras
    • Viena, Austria, August
    • E. Bayro-Corrochano, J. Lasenby, G. Sommer, Geometric Algebra: A framework for computing point and line correspondences and projective structure using n uncalibrated cameras, IEEE Proceedings of ICPR'96, Vol. I, Viena, Austria, August 1996, pp. 334-338.
    • (1996) IEEE Proceedings of ICPR'96 , vol.1 , pp. 334-338
    • Bayro-Corrochano, E.1    Lasenby, J.2    Sommer, G.3
  • 5
    • 2442583547 scopus 로고    scopus 로고
    • New geometric methods for computer vision-an application to structure and motion estimation
    • Lasenby J. Fitzgerald W.J. Lasenby A.N. Doran C.J.L. New geometric methods for computer vision-an application to structure and motion estimation Int. J. Comput. Vision 26 3 1998 191-213
    • (1998) Int. J. Comput. Vision , vol.26 , Issue.3 , pp. 191-213
    • Lasenby, J.1    Fitzgerald, W.J.2    Lasenby, A.N.3    Doran, C.J.L.4
  • 10
    • 0022258093 scopus 로고
    • Human ocular counterroll: Assessment of static and dynamic properties from electromagnetic scleral coil recordings
    • Collewijn H. Van der Steen J. Ferman L. Jansen T.C. Human ocular counterroll: Assessment of static and dynamic properties from electromagnetic scleral coil recordings Exp. Brain Res. 59 1985 185-196
    • (1985) Exp. Brain Res. , vol.59 , pp. 185-196
    • Collewijn, H.1    Van der Steen, J.2    Ferman, L.3    Jansen, T.C.4
  • 11
    • 0344806451 scopus 로고
    • A method of measuring eye movements using a scleral search coil in a magnetic field
    • Rodrigues D.A. A method of measuring eye movements using a scleral search coil in a magnetic field IEEE Trans. Biomed. Electron. BME-10 1963 137-145
    • (1963) IEEE Trans. Biomed. Electron. , vol.10 BME , pp. 137-145
    • Rodrigues, D.A.1
  • 12
    • 0025060338 scopus 로고
    • Geometric relations of eye position and velocity vectors during saccades
    • Tweed D. Vilis T. Geometric relations of eye position and velocity vectors during saccades Vision Res. 30 1 1990 111-127
    • (1990) Vision Res. , vol.30 , Issue.1 , pp. 111-127
    • Tweed, D.1    Vilis, T.2
  • 13
    • 0023143334 scopus 로고
    • Ocular counter-rolling during active head tilting in humans
    • Vieville T. Masse D. Ocular counter-rolling during active head tilting in humans Acta Otolaryngol. 103 1987 280-290
    • (1987) Acta Otolaryngol. , vol.103 , pp. 280-290
    • Vieville, T.1    Masse, D.2
  • 14
    • 0025661898 scopus 로고
    • Video-oculographic measurement of 3-dimensional eye rotations
    • Ott D. Gehle F. Eckmiller R. Video-oculographic measurement of 3-dimensional eye rotations J. Neurosci. Methods 35 1990 229-234
    • (1990) J. Neurosci. Methods , vol.35 , pp. 229-234
    • Ott, D.1    Gehle, F.2    Eckmiller, R.3
  • 16
    • 0019444061 scopus 로고
    • The use of control systems analysis in the neurophysiology of eye movements
    • Robinson D.A. The use of control systems analysis in the neurophysiology of eye movements Ann. Rev. Neurosci. 4 1981 463-503
    • (1981) Ann. Rev. Neurosci. , vol.4 , pp. 463-503
    • Robinson, D.A.1
  • 17
    • 0001565660 scopus 로고
    • Kinematics of the eye
    • Westheimer G. Kinematics of the eye J. Opt. Soc. Am. 47 1957 967-974
    • (1957) J. Opt. Soc. Am. , vol.47 , pp. 967-974
    • Westheimer, G.1
  • 18
    • 0016120267 scopus 로고
    • Photographic determination of the rotational state of the eye using matrices
    • Nakayama K. Photographic determination of the rotational state of the eye using matrices Am. J. Optometry Physiol. Opt. 51 1974 736-742
    • (1974) Am. J. Optometry Physiol. Opt. , vol.51 , pp. 736-742
    • Nakayama, K.1
  • 19
    • 0023513576 scopus 로고
    • Implications of rotational kinematics for the oculomotor system in three dimensions
    • Tweed D. Vilis T. Implications of rotational kinematics for the oculomotor system in three dimensions J. Neurophysiol. 58 1987 832-849
    • (1987) J. Neurophysiol. , vol.58 , pp. 832-849
    • Tweed, D.1    Vilis, T.2
  • 20
    • 0001172886 scopus 로고
    • On Listing's law
    • Hepp K. On Listing's law Commun. Math. Phys. 132 1990 285-292
    • (1990) Commun. Math. Phys. , vol.132 , pp. 285-292
    • Hepp, K.1
  • 22
    • 0002034234 scopus 로고
    • Representation of eye position in three dimensions
    • A. Berthoz (Ed.), Oxford: Oxford University Press
    • Van Opstal J. Representation of eye position in three dimensions Berthoz A. Multisensory Control of Movement 1993 27-41 Oxford University Press Oxford
    • (1993) Multisensory Control of Movement , pp. 27-41
    • Van Opstal, J.1
  • 23
    • 0027975632 scopus 로고
    • Invariant body kinematics I: Saccadic and compensatory eye movements
    • Hestenes D. Invariant body kinematics I: Saccadic and compensatory eye movements Neural Networks 7 1994 65-77
    • (1994) Neural Networks , vol.7 , pp. 65-77
    • Hestenes, D.1
  • 25
    • 0000082109 scopus 로고
    • Applications of Grassmann's extensive algebra
    • Clifford W.K. Applications of Grassmann's extensive algebra Am. J. Math. 1 1878 350-358
    • (1878) Am. J. Math. , vol.1 , pp. 350-358
    • Clifford, W.K.1
  • 27
    • 0002256263 scopus 로고
    • Projective geometry with Clifford algebra
    • Hestenes D. Ziegler R. Projective geometry with Clifford algebra Acta Appl. Math. 23 1991 25-63
    • (1991) Acta Appl. Math. , vol.23 , pp. 25-63
    • Hestenes, D.1    Ziegler, R.2
  • 29
    • 0029022686 scopus 로고
    • Mathematics of the three-dimensional eye rotations
    • Haslwanter T. Mathematics of the three-dimensional eye rotations Vision Res. 35 12 1995 1727-1739
    • (1995) Vision Res. , vol.35 , Issue.12 , pp. 1727-1739
    • Haslwanter, T.1
  • 30
    • 0026086858 scopus 로고
    • Axes of eye rotation and Listing's law during rotations of the head
    • Crawford J.D. Vilis T. Axes of eye rotation and Listing's law during rotations of the head J. Neurophys. 65 1991 407-423
    • (1991) J. Neurophys. , vol.65 , pp. 407-423
    • Crawford, J.D.1    Vilis, T.2
  • 33
    • 0026755457 scopus 로고
    • Static roll and pitch in the monkey: Shift and rotation of Listing's plane
    • Haslwanter T. Straumann D. Hess B.J.M. Henn V. Static roll and pitch in the monkey: Shift and rotation of Listing's plane Vision Res. 32 7 1992 1341-1348
    • (1992) Vision Res. , vol.32 , Issue.7 , pp. 1341-1348
    • Haslwanter, T.1    Straumann, D.2    Hess, B.J.M.3    Henn, V.4
  • 34
    • 0026686413 scopus 로고
    • Violations of Listing's law after a large eye and head gaze shifts
    • Glenn B. Vilis T. Violations of Listing's law after a large eye and head gaze shifts J. Neurophys. 68 1992 309-318
    • (1992) J. Neurophys. , vol.68 , pp. 309-318
    • Glenn, B.1    Vilis, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.