Fix equation references

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2024-09-20 09:03:53 +02:00
parent 27f635afe4
commit 65453e0605
3 changed files with 17 additions and 18 deletions

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@@ -87,11 +87,8 @@ Adding a visual delay increased the perceived stiffness of the reference piston,
\end{subfigs}
%explained how these delays affected the integration of the visual and haptic perceptual cues of stiffness.
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}.
But a delay $\Delta t$ modify the equation to:
\begin{equation}
\label{eq:stiffness_delay}
k = \frac{F(t_A)}{D (t_B)}
\begin{equation}{stiffness_delay}
k = \frac{F(t_H)}{D(t_V)} \quad \text{with} \quad t_H = t_V + \Delta t
\end{equation}
where $t_B = t_A + \Delta t$.
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}.