Skip to main content
Erschienen in: Experimental Brain Research 1-2/2010

01.11.2010 | Research Note

Extending Fitts’ Law to three-dimensional obstacle-avoidance movements: support for the posture-based motion planning model

verfasst von: Jonathan Vaughan, Deborah A. Barany, Anthony W. Sali, Steven A. Jax, David A. Rosenbaum

Erschienen in: Experimental Brain Research | Ausgabe 1-2/2010

Einloggen, um Zugang zu erhalten

Abstract

According to Fitts’ Law, the time (MT) to move to a target is a linear function of the logarithm of the ratio between the target’s distance and width. Although Fitts’ Law accurately predicts MTs for direct movements, it does not accurately predict MTs for indirect movements, as when an obstacle intrudes on the direct movement path. To address this limitation, Jax et al. (2007) added an obstacle-intrusion term to Fitts’ Law. They accurately predicted MTs around obstacles in two-dimensional (2-D) workspaces, but their model had one more parameter than Fitts’ Law did and was merely descriptive. In this study, we addressed these concerns by turning to the mechanistic, posture-based (PB) movement planning model. The PB-based model accounted for almost as much MT variance in a 3-D movement task as the model of Jax et al., with only two parameters, the same number of parameters as in Fitts’ Law.
Fußnoten
1
In the foregoing, B must be at least as large as the distance the obstacle intrudes (OI) into the workspace. For convenience of exposition, we assume that B simply equals OI.
 
2
The six positional degrees of freedom of a rigid object are the x, y, and z values of a reference point within the object such as its center of gravity, and the object’s pitch, roll, and yaw.
 
3
It is not unusual for a target to be an obstacle. When reaching for a glass, for example, the glass is an obstacle vis à vis the dorsal side of the hand and fingers. This is why the hand must move around the glass before closing in on it. The PB model was designed to generate such behaviors and simulates them accurately (Rosenbaum et al. 2001).
 
Literatur
Zurück zum Zitat Beamish D, Bhatti S, Chubbs CS, MacKenzie IS, Wu J, Jing Z (2009) Estimation of psychomotor delay from the Fitts’ law coefficients. Biol Cyber 101:279–296CrossRef Beamish D, Bhatti S, Chubbs CS, MacKenzie IS, Wu J, Jing Z (2009) Estimation of psychomotor delay from the Fitts’ law coefficients. Biol Cyber 101:279–296CrossRef
Zurück zum Zitat Bullock D, Bongers RM, Lankhorst M, Beek PJ (1999) A vector-integration-to-endpoint model for performance of viapoint movements. Neural Netw 12:1–29CrossRefPubMed Bullock D, Bongers RM, Lankhorst M, Beek PJ (1999) A vector-integration-to-endpoint model for performance of viapoint movements. Neural Netw 12:1–29CrossRefPubMed
Zurück zum Zitat Cruse H, Brüwer M, Dean J (1993) Control of three- and four-joint arm movement: strategies for a manipulator with redundant degrees of freedom. J Motor Behav 25:131–139CrossRef Cruse H, Brüwer M, Dean J (1993) Control of three- and four-joint arm movement: strategies for a manipulator with redundant degrees of freedom. J Motor Behav 25:131–139CrossRef
Zurück zum Zitat Elliot D, Helsen WF, Chua R (2001) A century later: Woodworth’s (1899) two component model of goal-directed aiming. Psychol Bull 127:342–357CrossRef Elliot D, Helsen WF, Chua R (2001) A century later: Woodworth’s (1899) two component model of goal-directed aiming. Psychol Bull 127:342–357CrossRef
Zurück zum Zitat Fischer MH, Rosenbaum DA, Vaughan J (1997) Speed and sequential effects in reaching. J Exp Psychol Hum Percept Perform 23:404–428CrossRefPubMed Fischer MH, Rosenbaum DA, Vaughan J (1997) Speed and sequential effects in reaching. J Exp Psychol Hum Percept Perform 23:404–428CrossRefPubMed
Zurück zum Zitat Fitts PM (1954) The information capacity of the human motor system in controlling the amplitude of movement. J Exp Psychol 47:381–391CrossRefPubMed Fitts PM (1954) The information capacity of the human motor system in controlling the amplitude of movement. J Exp Psychol 47:381–391CrossRefPubMed
Zurück zum Zitat Fitts PM, Peterson JR (1964) Information capacity of discrete motor responses. J Exp Psychol 67:103–112CrossRefPubMed Fitts PM, Peterson JR (1964) Information capacity of discrete motor responses. J Exp Psychol 67:103–112CrossRefPubMed
Zurück zum Zitat Jax SA, Rosenbaum DA, Vaughan (2007) Extending Fitts’ Law to manual obstacle avoidance. Exp Brain Res 180:775–779CrossRefPubMed Jax SA, Rosenbaum DA, Vaughan (2007) Extending Fitts’ Law to manual obstacle avoidance. Exp Brain Res 180:775–779CrossRefPubMed
Zurück zum Zitat Meyer DE, Abrams RA, Kornblum S, Wright CE, Smith JE (1988) Optimality in human motor performance: ideal control of rapid aimed movements. Psychol Rev 95:340–370CrossRefPubMed Meyer DE, Abrams RA, Kornblum S, Wright CE, Smith JE (1988) Optimality in human motor performance: ideal control of rapid aimed movements. Psychol Rev 95:340–370CrossRefPubMed
Zurück zum Zitat Murata A, Iwase H (2001) Extending Fitts’ law to a three-dimensional pointing task. Hum Mov Sci 20:791–805CrossRefPubMed Murata A, Iwase H (2001) Extending Fitts’ law to a three-dimensional pointing task. Hum Mov Sci 20:791–805CrossRefPubMed
Zurück zum Zitat Rosenbaum DA, Loukopoulos LD, Meulenbroek RGJ, Vaughan J, Engelbrecht SE (1995) Planning reaches by evaluating stored postures. Psychol Rev 102:28–67CrossRefPubMed Rosenbaum DA, Loukopoulos LD, Meulenbroek RGJ, Vaughan J, Engelbrecht SE (1995) Planning reaches by evaluating stored postures. Psychol Rev 102:28–67CrossRefPubMed
Zurück zum Zitat Rosenbaum DA, Meulenbroek RJ, Vaughan J, Jansen C (2001) Posture-based motion planning: applications to grasping. Psychol Rev 108:709–734CrossRefPubMed Rosenbaum DA, Meulenbroek RJ, Vaughan J, Jansen C (2001) Posture-based motion planning: applications to grasping. Psychol Rev 108:709–734CrossRefPubMed
Zurück zum Zitat Rosenbaum DA, Cohen R, Dawson A, Jax SA, Meulenbroek RGJ, van der Wel RPRD, Vaughan J (2009) The posture-based motion planning framework: New findings related to object manipulation, moving around obstacles, moving in three spatial dimensions, and haptic tracking. In: Sternad D (ed) Progress in motor control–a multidisciplinary perspective. Springer, Berlin, pp 485–498 Rosenbaum DA, Cohen R, Dawson A, Jax SA, Meulenbroek RGJ, van der Wel RPRD, Vaughan J (2009) The posture-based motion planning framework: New findings related to object manipulation, moving around obstacles, moving in three spatial dimensions, and haptic tracking. In: Sternad D (ed) Progress in motor control–a multidisciplinary perspective. Springer, Berlin, pp 485–498
Zurück zum Zitat Sabes PN, Jordan MI, Wolpert DM (1998) The role of inertial sensitivity in motor planning. J Neurosci 18:5948–5957PubMed Sabes PN, Jordan MI, Wolpert DM (1998) The role of inertial sensitivity in motor planning. J Neurosci 18:5948–5957PubMed
Zurück zum Zitat Shannon C (1948) A mathematical theory of communication. Bell Sys Tech J 27:379–423 Shannon C (1948) A mathematical theory of communication. Bell Sys Tech J 27:379–423
Zurück zum Zitat Tipper SP, Howard LA, Jackson SR (1997) Selective reaching to grasp: evidence for distractor interference effects. Vis Cogn 4:1–38CrossRef Tipper SP, Howard LA, Jackson SR (1997) Selective reaching to grasp: evidence for distractor interference effects. Vis Cogn 4:1–38CrossRef
Zurück zum Zitat Vaughan J, Rosenbaum DA, Meulenbroek RGJ (2001) Planning reaching and grasping movements: the problem of obstacle avoidance. Mot Control 5:116–135 Vaughan J, Rosenbaum DA, Meulenbroek RGJ (2001) Planning reaching and grasping movements: the problem of obstacle avoidance. Mot Control 5:116–135
Zurück zum Zitat Vaughan J, Rosenbaum DA, Meulenbroek RGJ (2006) Modeling reaching and manipulating in 2- and 3-D workspaces: the posture-based model. In: Proceedings of fifth international conference on development and learning, Indiana University Vaughan J, Rosenbaum DA, Meulenbroek RGJ (2006) Modeling reaching and manipulating in 2- and 3-D workspaces: the posture-based model. In: Proceedings of fifth international conference on development and learning, Indiana University
Zurück zum Zitat Worringham CJ (1993) Predicting motor performance from variability measures. In: Newell KM, Corcos DM (eds) Variability and motor control. Human Kinetics, Champaign, pp 53–63 Worringham CJ (1993) Predicting motor performance from variability measures. In: Newell KM, Corcos DM (eds) Variability and motor control. Human Kinetics, Champaign, pp 53–63
Metadaten
Titel
Extending Fitts’ Law to three-dimensional obstacle-avoidance movements: support for the posture-based motion planning model
verfasst von
Jonathan Vaughan
Deborah A. Barany
Anthony W. Sali
Steven A. Jax
David A. Rosenbaum
Publikationsdatum
01.11.2010
Verlag
Springer-Verlag
Erschienen in
Experimental Brain Research / Ausgabe 1-2/2010
Print ISSN: 0014-4819
Elektronische ISSN: 1432-1106
DOI
https://doi.org/10.1007/s00221-010-2431-z

Weitere Artikel der Ausgabe 1-2/2010

Experimental Brain Research 1-2/2010 Zur Ausgabe

Leitlinien kompakt für die Neurologie

Mit medbee Pocketcards sicher entscheiden.

Seit 2022 gehört die medbee GmbH zum Springer Medizin Verlag

Sozialer Aufstieg verringert Demenzgefahr

24.05.2024 Demenz Nachrichten

Ein hohes soziales Niveau ist mit die beste Versicherung gegen eine Demenz. Noch geringer ist das Demenzrisiko für Menschen, die sozial aufsteigen: Sie gewinnen fast zwei demenzfreie Lebensjahre. Umgekehrt steigt die Demenzgefahr beim sozialen Abstieg.

Hirnblutung unter DOAK und VKA ähnlich bedrohlich

17.05.2024 Direkte orale Antikoagulanzien Nachrichten

Kommt es zu einer nichttraumatischen Hirnblutung, spielt es keine große Rolle, ob die Betroffenen zuvor direkt wirksame orale Antikoagulanzien oder Marcumar bekommen haben: Die Prognose ist ähnlich schlecht.

Was nützt die Kraniektomie bei schwerer tiefer Hirnblutung?

17.05.2024 Hirnblutung Nachrichten

Eine Studie zum Nutzen der druckentlastenden Kraniektomie nach schwerer tiefer supratentorieller Hirnblutung deutet einen Nutzen der Operation an. Für überlebende Patienten ist das dennoch nur eine bedingt gute Nachricht.

Thrombektomie auch bei großen Infarkten von Vorteil

16.05.2024 Ischämischer Schlaganfall Nachrichten

Auch ein sehr ausgedehnter ischämischer Schlaganfall scheint an sich kein Grund zu sein, von einer mechanischen Thrombektomie abzusehen. Dafür spricht die LASTE-Studie, an der Patienten und Patientinnen mit einem ASPECTS von maximal 5 beteiligt waren.

Update Neurologie

Bestellen Sie unseren Fach-Newsletter und bleiben Sie gut informiert.