Fitts Law as a Restrained Random Walk
Fitts law, one of the rare quantitative relations in psychology, describes the time it takes for a human being to aim at and hit a target of a given size, starting from a given remote position. We provide here a new interpretation of this law, not invoking a discretization of space and time as in th...
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| Format: | Article |
| Language: | English |
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Académie des sciences
2024-04-01
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| Series: | Comptes Rendus. Mécanique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.250/ |
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| author | Villermaux, Emmanuel |
| author_facet | Villermaux, Emmanuel |
| author_sort | Villermaux, Emmanuel |
| collection | DOAJ |
| description | Fitts law, one of the rare quantitative relations in psychology, describes the time it takes for a human being to aim at and hit a target of a given size, starting from a given remote position. We provide here a new interpretation of this law, not invoking a discretization of space and time as in the original information theory representation of Fitts, but involving a simple restrained random walk on a continuum, in space and time. We not only predict that the pointing time is proportional to the logarithm of the starting distance relative to the target size (which is Fitts law), but also describe the complete probability of presence of the pointer in its route to destination. In particular, we quantify the pointer large time overlapping efficiency with the target from the comparison of a new length-scale intrinsic to the motion, with the target size. |
| format | Article |
| id | doaj-art-ce40e946418c473e946d17cef10e5a65 |
| institution | Kabale University |
| issn | 1873-7234 |
| language | English |
| publishDate | 2024-04-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mécanique |
| spelling | doaj-art-ce40e946418c473e946d17cef10e5a652025-02-07T13:48:46ZengAcadémie des sciencesComptes Rendus. Mécanique1873-72342024-04-01352G113514210.5802/crmeca.25010.5802/crmeca.250Fitts Law as a Restrained Random WalkVillermaux, Emmanuel0Aix Marseille Université, CNRS, Centrale Marseille, IRPHE, Marseille, FranceFitts law, one of the rare quantitative relations in psychology, describes the time it takes for a human being to aim at and hit a target of a given size, starting from a given remote position. We provide here a new interpretation of this law, not invoking a discretization of space and time as in the original information theory representation of Fitts, but involving a simple restrained random walk on a continuum, in space and time. We not only predict that the pointing time is proportional to the logarithm of the starting distance relative to the target size (which is Fitts law), but also describe the complete probability of presence of the pointer in its route to destination. In particular, we quantify the pointer large time overlapping efficiency with the target from the comparison of a new length-scale intrinsic to the motion, with the target size.https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.250/ |
| spellingShingle | Villermaux, Emmanuel Fitts Law as a Restrained Random Walk Comptes Rendus. Mécanique |
| title | Fitts Law as a Restrained Random Walk |
| title_full | Fitts Law as a Restrained Random Walk |
| title_fullStr | Fitts Law as a Restrained Random Walk |
| title_full_unstemmed | Fitts Law as a Restrained Random Walk |
| title_short | Fitts Law as a Restrained Random Walk |
| title_sort | fitts law as a restrained random walk |
| url | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.250/ |
| work_keys_str_mv | AT villermauxemmanuel fittslawasarestrainedrandomwalk |