Larger curves explored by touching multiple points, whether statically or dynamically, appear to be judged by the difference in local slope at different points of contact (Pont, 1997; Pont, Kappers, & Koenderink, 1999).
from Lederman, Susan J., and Roberta L. Klatzky. "Haptic perception: A tutorial." Attention, Perception, & Psychophysics 71.7 (2009): 1439-1459.
Pont, S. C. (1997). Haptic curvature comparison. Unpublished doctoral
dissertation, Helmholz Instituut, Utrecht.
Pont, S. C., Kappers, A. M. L., & Koenderink, J. J. (1999). Similar mechanisms underlie curvature comparison by static and dynamic touch. Perception & Psychophysics, 61, 874-894.
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