Investigations into Haptic Space and Haptic Perception of Shape for Active Touch

This thesis presents a number of psychophysical investigations into haptic space and haptic perception of shape. Haptic perception is understood to include the two subsystems of the cutaneous sense and kinesthesis. Chapter 2 provides an extensive quantitative study into haptic perception of curvature. I investigated bimanual curvature discrimination of cylindrically curved, hand-sized surfaces. I found that discrimination thresholds were in the same range as unimanual thresholds reported in previous studies. Moreover, the distance between the surfaces or the position of the setup with respect to the observer had no effect on thresholds. Finally, I found idiosyncratic biases: A number of observers judged two surfaces that had different radii as equally curved. Biases were of the same order of magnitude as thresholds. In Chapter 3, I investigated haptic space. Here, haptic space is understood to be (1) the set of observer’s judgments of spatial relations in physical space, and (2) a set of constraints by which these judgments are internally consistent. I asked blindfolded observers to construct straight lines in a number of different tasks. I show that the shape of the haptically straight line depends on the task used to produce it. I therefore conclude that there is no unique definition of the haptically straight line and that doubts are cast on the usefulness of the concept of haptic space. In Chapter 4, I present a new experiment into haptic length perception. I show that when observers trace curved pathways with their index finger and judge distance traversed, their distance estimates depend on the geometry of the paths: Lengths of convex, cylindrically curved pathways were overestimated and lengths of concave pathways were underestimated. In addition, I show that a kinematic mechanism must underlie this interaction: (1) the geometry of the path traced by the finger affects movement speed and consequently movement time, and (2) movement time is taken as a measure of traversed length. The study presented in Chapter 5 addresses the question of how kinematic properties of exploratory movements affect perceived shape. I identify a kinematic invariant for the case of a single finger moving across cylindrically curved strips under conditions of slip. I found that the rotation angle of the finger increased linearly with the curvature of the stimulus. In addition, I show that observers took rotation angle as their primary measure of perceived curvature: Observers rotated their finger less on a concave curvature by a constant amount, and consequently, they overestimated the radius of the concave strips compared to the convex ones. Finally, in Chapter 6, I investigated the haptic filled-space illusion for dynamic touch: Observers move their fingertip across an unfilled extent or an extent filled with intermediate stimulations. Previous researchers have reported lengths of filled extents to be overestimated, but the parameters affecting the strength of the illusion are still largely unknown. Factors investigated in this chapter include end point effects, filler density and overall average movement speed.