Skip to main content

Advertisement

SpringerLink
  • Log in
  1. Home
  2. Psychonomic Bulletin & Review
  3. Article
A unified fielder theory for interception of moving objects either above or below the horizon
Download PDF
Download PDF
  • Brief Reports
  • Published: October 2006

A unified fielder theory for interception of moving objects either above or below the horizon

  • Thomas G. Sugar1,
  • Michael K. Mcbeath1 &
  • Zheng Wang1 

Psychonomic Bulletin & Review volume 13, pages 908–917 (2006)Cite this article

  • 486 Accesses

  • 14 Citations

  • Metrics details

Abstract

A unified fielder theory is presented that explains how humans navigate to intercept targets that approach from either above or below the horizon. Despite vastly different physical forces affecting airborne and ground-based moving targets, a common set of invariant perception-action principles appears to guide pursuers. When intercepting airborne projectiles, fielders keep the target image rising at a constant optical speed in a vertical image plane and moving in a constant optical direction in an image plane that remains perpendicular to gaze direction. We confirm that fielders use the same strategies to intercept grounders. Fielders maintained a cotangent of gaze angle that decreases linearly with time (accounting for 98.7% of variance in ball speed) and a linear optical trajectory along an image plane that remains perpendicular to gaze direction (accounting for 98.2% of variance in ball position). The universality of maintaining optical speed and direction for both airborne and ground-based targets supports the theory that these mechanisms are domain independent.

Download to read the full article text

Working on a manuscript?

Avoid the most common mistakes and prepare your manuscript for journal editors.

Learn more

References

  • Aboufadel, E. (1996). A mathematician catches a baseball.American Mathematics Monitor,103, 870–878.

    Article  Google Scholar 

  • Babler, T. G., &Dannemiller, J. L. (1993). Role of image acceleration in judging landing location of free-falling projectiles.Journal of Experimental Psychology: Human Perception & Performance,19, 15–31.

    Article  Google Scholar 

  • Beall, A. C., &Loomis, J. M. (1997). Optic flow and visual analysis of the base-to-final turn.International Journal of Aviation Psychology,7, 201–223.

    Article  Google Scholar 

  • Brancazio, P. (1985). Looking into Chapman’s homer: The physics of judging a fly ball.American Journal of Physics,53, 849–855.

    Article  Google Scholar 

  • Chapman, S. (1968). Catching a baseball.American Journal of Physics,36, 868–870.

    Article  Google Scholar 

  • Cutting, J. E., &Wang, R. F. (2000). Heading judgments in minimal environments: The value of a heuristic when invariants are rare.Perception & Psychophysics,62, 1146–1159.

    Article  Google Scholar 

  • Fajen, B. R., &Warren, W. H. (2004). Visual guidance of intercepting a moving target on foot.Perception,33, 689–715.

    Article  PubMed  Google Scholar 

  • Landy, M. S., Maloney, L. T., Johnston, E. B., &Young, M. (1995). Measurement and modeling of depth cue combination: In defense of weak fusion.Vision Research,35, 389–412.

    Article  PubMed  Google Scholar 

  • Lee, D. N. (1998). Guiding movement by coupling taus.Ecological Psychology,10, 221–250.

    Article  Google Scholar 

  • Lee, D. N., &Reddish, P. E. (1981). Plummeting gannets: A paradigm of ecological optics.Nature,293, 293–294.

    Article  Google Scholar 

  • Lenoir, M., Musch, E., Janssens, M., Thiery, E., &Uyttenhove, J. (1999). Intercepting moving objects during self-motion.Journal of Motor Behavior,31, 66–67.

    Article  Google Scholar 

  • Marken, R. S. (1997). The dancer and the dance: Methods in the study of living control systems.Psychological Methods,2, 436–446.

    Article  Google Scholar 

  • Marken, R. S. (2001). Controlled variables: Psychology as the center fielder views it.American Journal of Psychology,114, 259–281.

    Article  PubMed  Google Scholar 

  • Marken, R. S. (2005). Optical trajectories and the informational basis of fly ball catching.Journal of Experimental Psychology: Human Perception & Performance,31, 630–634.

    Article  Google Scholar 

  • McBeath, M. K., Shaffer, D. M., &Kaiser, M. K. (1995). How baseball outfielders determine where to run to catch fly balls.Science,268, 569–573.

    Article  PubMed  Google Scholar 

  • McBeath, M. K., Shaffer, D. M., &Kaiser, M. K. (1996). On catching fly balls.Science,273, 256–259.

    Article  Google Scholar 

  • McBeath, M. K., Shaffer, D. M., Morgan, S. E., &Sugar, T. G. (2002). Lack of conscious awareness of how we navigate to catch baseballs.Toward a Science of Consciousness,5, 84.

    Google Scholar 

  • McBeath, M. K., Shaffer, D. M., &Sugar, T. G. (2002). Catching baseball pop flies: Individual differences in aggressiveness and handedness.Abstracts of the Psychonomic Society,7, 103.

    Google Scholar 

  • McBeath, M. K., Sugar, T. G., Thompson, M. J., &Mundhra, K. (2003). Catching ground balls: Optical control heuristics used by humans and robots support a unified fielder theory.Journal of Vision,3, 543.

    Article  Google Scholar 

  • McLeod, P., &Dienes, Z. (1993). Running to catch the ball.Nature,362, 23.

    Article  PubMed  Google Scholar 

  • McLeod, P., &Dienes, Z. (1996). Do fielders know where to go to catch the ball or only how to get there?Journal of Experimental Psychology: Human Perception & Performance,22, 531–543.

    Article  Google Scholar 

  • McLeod, P., Reed, N., &Dienes, Z. (2003). How fielders arrive in time to catch the ball.Nature,426, 244.

    Article  PubMed  Google Scholar 

  • Milner, A., &Goodale, M. (1995).The visual brain in action. Oxford: Oxford University Press.

    Google Scholar 

  • Mundhra, K., Sugar, T. G., & McBeath, M. K. (2003, September).Perceptual navigation strategy: A unified approach to interception of ground balls and fly balls. Paper presented at the IEEE International Conference on Robotics and Automation, Taipei.

  • Mundhra, K., Suluh, A., Sugar, T. G., & McBeath, M. K. (2002). Intercepting a falling object: Digital video robot. InProceedings of the 2002 IEEE International Conference on Robotics and Automation (pp. 2060-2065). Washington, DC.

  • Ooi, T. L., Wu, B., &He, Z. J. (2001). Distance determined by the angular declination below the horizon.Nature,414, 197–200.

    Article  PubMed  Google Scholar 

  • Oudejans, R. R. D., Michaels, C. F., &Bakker, F. C. (1997). The effects of baseball experience on movement initiation in catching fly balls.Journal of Sports Sciences,15, 587–595.

    Article  PubMed  Google Scholar 

  • Pollack, H. N. (1995). Play ball!Science,268, 1681.

    Article  PubMed  Google Scholar 

  • Regan, D. (1997). Visual factors in hitting and catching.Journal of Sports Sciences,15, 533–558.

    Article  PubMed  Google Scholar 

  • Regan, D., &Gray, R. (2000). Visually guided collision avoidance and collision achievement.Trends in Cognitive Sciences,4, 99–107.

    Article  PubMed  Google Scholar 

  • Saxberg, B. V. H. (1987). Projected free fall trajectories: II. Human experiments.Biological Cybernetics,56, 177–184.

    Article  PubMed  Google Scholar 

  • Shaffer, D. M., Krauchunas, S. M., Eddy, M., &McBeath, M. K. (2004). How dogs navigate to catch Frisbees.Psychological Science,15, 437–441.

    Article  PubMed  Google Scholar 

  • Shaffer, D. M., &McBeath, M. K. (2002). Baseball outfielders maintain a linear optical trajectory when tracking uncatchable fly balls.Journal of Experimental Psychology: Human Perception & Performance,28, 335–348.

    Article  Google Scholar 

  • Shaffer, D. M., &McBeath, M. K. (2005). Naive beliefs in baseball: Systematic distortion in perceived time of apex for fly balls.Journal of Experimental Psychology: Learning, Memory, & Cognition,31, 1492–1501.

    Article  Google Scholar 

  • Sugar, T. G., &McBeath, M. K. (2001a). Robotic modeling of mobile ball-catching as a tool for understanding biological interceptive behavior.Behavioral & Brain Sciences,24, 1078–1080.

    Article  Google Scholar 

  • Sugar, T. G., & McBeath, M. K. (2001b, June).Spatial navigation algorithms: Applications to mobile robotics. Paper presented at the Proceedings of the 6th Vision Interface Annual Conference, Ottawa.

  • Sugar, T. G., McBeath, M. K., Suluh, A., &Mundhra, K. (2006). Mobile robot interception using human navigational principles: Comparison of active versus passive tracking algorithms.Autonomous Robots,21, 43–54.

    Article  Google Scholar 

  • Suluh, A., Mundhra, K., Sugar, T. G., & McBeath, M. K. (2002). Spatial interception for mobile robots. InProceedings of the 2002 IEEE International Conference on Robotics and Automation (pp. 4263-4268). Washington, DC.

  • Vicon (2003).Motion capture system. Available at www.vicon.com.

  • Warren, W. H., Kay, B. A., Zosh, W. D., Duchon, A. P., &Sahuc, S. (2001). Optic flow is used to control human walking.Nature Neuroscience,4, 213–216.

    Article  PubMed  Google Scholar 

  • Watts, R. G., &Bahill, A. T. (2000).Keep your eye on the ball: Curve balls, knuckleballs, and fallacies of baseball (2nd ed.). New York: Freeman.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Engineering, Arizona State University, 85212-0180, Mesa, AZ

    Thomas G. Sugar, Michael K. Mcbeath & Zheng Wang

Authors
  1. Thomas G. Sugar
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Michael K. Mcbeath
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Zheng Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Thomas G. Sugar.

Additional information

This work was partially supported by National Science Foundation Grants BCS-0318313 and 0403428. The support of Arizona State University and the Arts, Media, and Engineering Laboratory is gratefully acknowledged.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Sugar, T.G., Mcbeath, M.K. & Wang, Z. A unified fielder theory for interception of moving objects either above or below the horizon. Psychonomic Bulletin & Review 13, 908–917 (2006). https://doi.org/10.3758/BF03194018

Download citation

  • Received: 22 August 2004

  • Accepted: 18 March 2006

  • Issue Date: October 2006

  • DOI: https://doi.org/10.3758/BF03194018

Share this article

Anyone you share the following link with will be able to read this content:

Sorry, a shareable link is not currently available for this article.

Provided by the Springer Nature SharedIt content-sharing initiative

Keywords

  • Mobile Robot
  • Typical Trial
  • Ball Position
  • Ball Speed
  • Alignment Angle
Download PDF

Working on a manuscript?

Avoid the most common mistakes and prepare your manuscript for journal editors.

Learn more

Advertisement

Over 10 million scientific documents at your fingertips

Switch Edition
  • Academic Edition
  • Corporate Edition
  • Home
  • Impressum
  • Legal information
  • Privacy statement
  • California Privacy Statement
  • How we use cookies
  • Manage cookies/Do not sell my data
  • Accessibility
  • FAQ
  • Contact us
  • Affiliate program

Not logged in - 185.186.9.21

Not affiliated

Springer Nature

© 2023 Springer Nature Switzerland AG. Part of Springer Nature.