Pagano C C, Carello C, Turvey M T
Center for the Ecological Study of Perception and Action University of Connecticut, Storrs, USA.
Percept Psychophys. 1996 Nov;58(8):1191-202. doi: 10.3758/bf03207552.
When an object is held and wielded, a time-invariant quantity of the wielding dynamics is the inertia tensor Iij. The 3 x 3 quantity Iij is composed of moments of inertia (on the diagonal) and products of inertia (off the diagonal). Examination of Iij as a function of different locations at which a cylindrical object is grasped revealed that the products related systematically to grip position (a direction), and both the products and moments taken together related systematically to the extent of the rod to one side of the hand (a magnitude in a direction). In two experiments, observers wielded an occluded rod that was held at an intermediate point along its length and reproduced both the felt grip position and partial rod length. In both experiments, perceived grip position was a function of the rod's products of inertia and perceived partial rod length was a function of the moments and products. Discussion focuses on the specificity of exteroception and exproprioception to Iij.
当握持并挥动一个物体时，挥动动力学中一个不随时间变化的量是惯性张量Iij。3×3的量Iij由转动惯量（位于对角线上）和惯性积（位于非对角线上）组成。研究Iij作为圆柱形物体在不同握持位置的函数时发现，惯性积与握持位置（一个方向）系统相关，而惯性积和转动惯量共同与杆在手部一侧的延伸长度（一个方向上的量）系统相关。在两个实验中，观察者挥动一根被遮挡的杆，该杆在其长度的中间点被握持，并重现感觉到的握持位置和杆的部分长度。在两个实验中，感知到的握持位置是杆的惯性积的函数，而感知到的杆的部分长度是转动惯量和惯性积的函数。讨论集中在对外感受和自身感受对Iij的特异性。
