Fix equation references
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@@ -87,11 +87,8 @@ Adding a visual delay increased the perceived stiffness of the reference piston,
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\end{subfigs}
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%explained how these delays affected the integration of the visual and haptic perceptual cues of stiffness.
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The stiffness $k$ of the piston is indeed estimated by both sight and proprioception as the ratio of the exerted force $F$ and the displacement $D$ of the piston, following \eqref{stiffness}.
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But a delay $\Delta t$ modify the equation to:
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\begin{equation}
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\label{eq:stiffness_delay}
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k = \frac{F(t_A)}{D (t_B)}
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\begin{equation}{stiffness_delay}
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k = \frac{F(t_H)}{D(t_V)} \quad \text{with} \quad t_H = t_V + \Delta t
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\end{equation}
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where $t_B = t_A + \Delta t$.
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Therefore, a haptic delay (positive $\Delta t$) increases the perceived stiffness $k$, while a visual delay in displacement (negative $\Delta t$) decreases perceived $k$~\cite{diluca2011effects}.
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