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\label{intro}
One approach to render virtual haptic textures consists in simulating the roughness of a periodic grating surface as a vibrotactile sinusoidal (\secref[related_work]{texture_rendering}).
The vibrations are rendered to a voice-coil actuator embedded in a hand-held tool or worn on the finger, but to create the illusion of touching a pattern with a fixed spatial period, the frequency of signal must be modulated according to the finger movement.
The vibrations are rendered to a voice-coil actuator embedded in a hand-held tool or worn on the finger.
To create the illusion of touching a pattern with a fixed spatial period, the frequency of signal must be modulated according to the finger movement.
Previous work either used mechanical system to track the movement at high frequency \cite{strohmeier2017generating,friesen2024perceived}, or required the user to move at a constant speed to keep the signal frequency constant \cite{asano2015vibrotactile,ujitoko2019modulating}.
However, this method has not yet been integrated in an \AR headset context, where the user should be able to freely touch and explore the visuo-haptic texture augmentations.