Obeying the law: speed–precision tradeoffs and the adherence to Weber’s law in 2D grasping

Abstract

Visually guided actions toward two-dimensional (2D) and three-dimensional (3D) objects show different patterns of adherence to Weber's law. In 3D grasping, Just Noticeable Differences (JNDs) do not scale with object size, violating Weber's law. Conversely, JNDs in 2D grasping increase with size, showing a pattern of scaler variability between aperture and JND, as predicted by Weber's law. In the current study, we tested whether such scaler variability in 2D grasping reflects genuine adherence to Weber's law. Alternatively, it could be potentially accounted for by a speed-precision tradeoff effect due to an increase in aperture velocity with size. In two experiments, we modified the relation between aperture velocity and size in 2D grasping and tested whether movement trajectories still adhere to Weber's law. In Experiment 1, we aimed to equate aperture velocities between different-sized objects by pre-adjusting the initial finger aperture to match the target's size. In Experiment 2, we reversed the relation between size and velocity by asking participants to hold their fingers wide open prior to grasp, resulting in faster velocities for smaller rather than for larger objects. The results of the two experiments showed that although aperture velocities did not increase with size, adherence to Weber's law was still maintained. These results indicate that the adherence to Weber's law during 2D grasping cannot be accounted for by a speed-precision tradeoff effect, but rather represents genuine reliance on relative, perceptually based computations in visuomotor interactions with 2D objects.