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   We have been collaborating with Dr. LaMotte of Yale University School 
        of Medicine in conducting psychophysical and neurophysiological studies 
        on the tactile perception of the microtexture, shape and softness of objects. 
        We have shown that humans can detect extremly fine textures composed of 
        50 nanometers high parallel bars etched on plane glass plates (LaMotte 
        and Srinivasan, 1991). Our neurophysiological recordings indicate that 
        when such fine textures are stroked on the fingerpad skin, the fingerprint 
        ridges vibrate and cause Pacinian Corpuscles to respond, thus enabling 
        the detection of the microtexure (Srinivasan, Whitehouse and LaMotte, 
        1990).  In studies of the tactile perception of shape, a series of two- and three-dimensional 
        objects (e.g., cylinders, spheres, ellipsoids and wavy surfaces) were 
        pressed or stroked at various orientations across the fingerpads of anesthetized 
        monkeys and evoked responses in cutaneous mechanoreceptive primary afferent 
        nerve fibers were recorded (Srinivasan and LaMotte, 1991; LaMotte and 
        Srinivasan, 1993; LaMotte, Srinivasan, Lu, and Klusch-Petersen, 1994; 
        LaMotte, Lu, and Srinivasan, 1995; 1996). Major geometrical properties 
        of the shapes were well represented in the spatio-temporal responses of 
        SA and RA afferent fiber populations, particularly those of the SAs. The 
        results show that the following hypothesis explains qualitatively all 
        the data we have obtained until now: the depth of indentation and the 
        change in curvature of the skin surface are encoded by the discharge rates 
        of SAs; in addition, the velocity and the rate of change in skin surface 
        curvature are encoded by the discharge rates of both SAs and RAs.  The intensive parameters of shapes, such as the magnitude of change in 
        skin curvature produced by contact with the object surface were encoded 
        in the discharge rates of SAs and RAs, but this neural code was also influenced 
        by changes in stroke velocity. Spatial parameters of the response, such 
        as the outline of the region of mechanoreceptor activity in the skin, 
        encoded the size, shape and orientation of the 2-D outline of the object 
        in contact with the skin. The third dimension of shape was represented 
        best in the shape of the distribution of spatial discharge rates primarily 
        in the SA fiber population. The shapes of the spatial discharge rates 
        of RAs were more irregular and variable than those of SAs and exhibited 
        poor or no representations of object shape. It was hypothesized that the 
        distribution of slopes (in impulses/sec/mm) of the spatial discharge rate 
        profile evoked by an object in the SA population encoded the distribution 
        of curvatures on the surface of the object in contact with the skin. This 
        is a neural code that is probably invariant with moderate changes in the 
        parameters that govern contact conditions between the object and the skin, 
        such as the contact force or orientation and velocity of its trajectory. 
        Therefore, among the different possible geometric representations of the 
        shape of objects, the intrinsic description, i.e., the surface curvature 
        as a function of the distance along the surface, seems to be relevant 
        for tactile sensing of shape.  Based on a theoretical analysis of the mechanics of contact, we have 
        proposed a mechanism by which shapes of objects within contact regions 
        are perceived through the tactile sense. The curvature of the skin surface 
        under an object, which we know from differential geometry is approximated 
        by the second spatial derivative of surface deflection, is coded without 
        differentiating (which is a noise enhancing process), but by exploiting 
        its relationship to surface pressure. Pressure peaks occur where the depths 
        of indentation and/or changes in the skin surface curvature are high. 
        The skin effectively acts as a low-pass filter in transmitting the mechanical 
        signals, and the mechanoreceptors respond to the blurred versions of the 
        surface pressure distribution, thus encoding the shape of the object in 
        terms of its surface curvatures (Srinivasan and LaMotte, 1991).  We have also shown that the human discriminability of softness or compliance 
        of objects depends on whether the object has a deformable or rigid surface 
        (Srinivasan and LaMotte, 1995; 1996). When the surface is deformable, 
        the spatial pressure distribution within the contact region is dependent 
        on object compliance, and hence information from cutaneous mechanoreceptors 
        is sufficient for discrimination of subtle differences in compliance. 
        When the surface is rigid, kinesthetic information is necessary for discrimination, 
        and the discriminability is much poorer than that for objects with deformable 
        surfaces. The mechanistic data for rubber specimens indicates that the 
        basis for the perception of softness of rubber-like objects is likely 
        to be the spatio-temporal variation of pressure on the skin (or, equivalently 
        the skin displacement and its derivatives). Neurophysiological data shows 
        that the resulting responses from slowly adapting type I afferent population 
        within the skin might encode the compliance of such objects.  |