Constant affine velocity predicts the 1/3 power law of planar motion perception and generation

Vision Research

Volumn 37, Issue 3, 1997, Pages 347-353

  Pollick, Frank E ^a   Sapiro, Guillermo ^b  

^a ADVANCED TELECOMMUNICATIONS RESEARCH INSTITUTE INTERNATIONAL   (Japan)

^b HEWLETT PACKARD LABORATORIES   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; DRAWING; HUMAN; MATHEMATICAL ANALYSIS; MOVEMENT PERCEPTION; PRIORITY JOURNAL; VELOCITY;

ANALYSIS OF VARIANCE; HUMANS; MODELS, THEORETICAL; MOTION PERCEPTION; REGRESSION ANALYSIS;

EID: 0031016247     PISSN: 00426989     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0042-6989(96)00116-2     Document Type: Article

References (31)

1. Abend W., Bizzi E., Morasso P. Human arm trajectory formation. Brain. 105:1982;331-348.
2. Beusmans J.M.H. Computing the direction of heading from affine image flow. Biological Cybernetics. 70:1993;123-136.
3. Blaschke, W. (1923). Vorlesungen uber Differentialgeometrie II. Berlin: Springer.
4. Eagleson R. Measurement of the 2D affine Lie group parameters for visual motion analysis. Spatial Vision. 6:1992;183-198.
5. Flanders M., Helms Tillery S., Soechting J.F. Early stages in a sensorimotor transformation. Behavioral and Brain Sciences. 15:1992;309-362.
6. Flash T., Hogan N. The coordination of arm movements: an experimentally confirmed mathematical model. Journal of Neuroscience. 5:1985;1688-1703.
7. Georgopoulos A.P., Lurito J.T., Petrides M., Schwartz A.B., Massey J.T. Mental rotation of the neuronal population vector. Science. 243:1989;234.
8. Indow T. A critical review of Luneburg's model with regard to global structure of visual space. Psychological Review. 98:1991;430-453.
9. Koenderink J.J., van Doorn A.J. Affine structure from motion. Journal of the Optical Society of America A. 75:1991;377-385.
10. Lacquaniti F., Terzuolo C., Viviani P. The law relating the kinematic and figural aspects of drawing movements. Acta Psychologica. 54:1983;115-130.
11. Lawrence, J.D. (1972). A catalog of special plane curves. New York: Dover.
12. Luneberg R.K. The metric of binocular visual space. Journal of the Optical Society of America. 50:1900;637-642.
13. Massey J.T., Lurito J.T., Pellizzer G., Georgopoulos A.P. Three-dimensional drawings in isometric conditions: relation between geometry and kinematics. Experimental Brain Research. 88:1992;685-690.
14. Morasso P. Spatial control of arm movements. Experimental Brain Research. 42:1981;223-227.
15. Norman J.F., Todd J.T. The perceptual analysis of structure from motion for rotating objects undergoing affine stretching transformation. Perception and Psychophysics. 53:1993;279-291.
16. Olver, P.J. (1995). Equivalence, invariants, and symmetry. Cambridge, U.K.: Cambridge University Press.
17. Pollick, F.E. (1996). The perception of motion and structure in structure-from-motion: comparisons of affine and Euclidean formulations. Vision Research, in press.
18. Pollick F.E., Ishimura G. The three-dimensional curvature of straight-ahead movements. Journal of Motor Behavior. 28:1996;271-279.
19. Sapiro G., Tannenbaum A. On affine plane curve evolution. Journal of Functional Analysis. 119:1994;79-120.
20. Schwartz A.B. Direct cortical representation of drawing. Science. 265:1994;540-542.
21. Spivak, M. (1979). A comprehensive introduction to differential geometry, Berkeley, CA: Publish or Perish.
22. Todd J.T., Bressan P. The perception of 3-dimensional affine structure from minimal apparent motion sequences. Perception and Psychophysics. 48:1990;419-430.
23. Viviani P., Cenzato M. Segmentation and coupling in complex movements. Journal of Experimental Psychology: Human Perception and Performance. 11:1985;828-845.
24. Viviani P., Flash T. Minimum-jerk, two-thirds power law, and isochrony: converging approaches to movement planning. Journal of Experimental Psychology: Human Perception and Performance. 213:1995;2-53.
25. Viviani P., McCollum G. The relation between linear extent and velocity in drawing movements. Neuroscience. 10:1983;211-218.
26. Viviani P., Schneider R. A developmental study of the relationship between geometry and kinematics in drawing movements. Journal of Experimental Psychology: Human Perception and Performance. 17:1991;198-218.
27. Viviani P., Stucchi N. The effect of movement velocity on form perception: geometric illusions in dynamic displays. Perception and Psychophysics. 46:1989;266-274.
28. Viviani P., Stucchi N. Biological movements look uniform: evidence of motor-perceptual interactions. Journal of Experimental Psychology: Human Perception and Performance. 18:1992;603-623.
29. Viviani P., Terzuolo C.A. Trajectory determines movement dynamics. Neuroscience. 7:1982;431-437.
30. Wagemans, J., De Troy, A., Van Gool, L., Foster, D.H. & Wood, J.R. (1994). Minimal information to determine affine shape equivalence, U. of Louven TR, Dept. of Psychology, 169.
31. Wann J., Nimmo-Smith I., Wing A.M. Relation between velocity and curvature in movement: equivalence and divergence between a power law and a minimum-jerk model. Journal of Experimental Psychology: Human Perception and Performance. 14:1988;622-637.