From dee8c241b94f79994c68f9c447385b1b5740e84c Mon Sep 17 00:00:00 2001 From: Erwan Normand Date: Tue, 7 Jan 2025 14:24:40 +0100 Subject: [PATCH] Typo --- 3-perception/vhar-system/2-method.tex | 6 +++--- .../figures/results/rankings.pdf | Bin 0 -> 215740 bytes 5-conclusion/résumé.tex | 7 +++++++ covers.odt | Bin 388583 -> 389476 bytes covers.pdf | Bin 205790 -> 205974 bytes references.bib | 4 ++-- 6 files changed, 12 insertions(+), 5 deletions(-) create mode 100644 3-perception/vhar-textures/figures/results/rankings.pdf diff --git a/3-perception/vhar-system/2-method.tex b/3-perception/vhar-system/2-method.tex index c632e4d..a3a2bf8 100644 --- a/3-perception/vhar-system/2-method.tex +++ b/3-perception/vhar-system/2-method.tex @@ -88,8 +88,8 @@ A sample $r(t_j, t_k)$ of the audio signal at sampling time $t_k$, with $t_k >= \begin{subequations} \label{eq:signal} \begin{align} - r(t_j, t_k) & = A\, \text{sgn} ( \sin (2 \pi \frac{\dot{x}\,(t_j)}{\lambda} t_k + \phi_j ) ) & \label{eq:signal_speed} \\ - \phi_j & = \phi_{j-1} + 2 \pi \frac{\dot{x}\,(t_j) - \dot{x}\,(t_j - 1)}{\lambda} t_k & \label{eq:signal_phase} + r(t_j, t_k) & = A\, \text{sgn} ( \sin (2 \pi \frac{\dot{x}\,(t_j)}{\lambda} t_k + \phi(t_j) ) ) & \label{eq:signal_speed} \\ + \phi(t_j) & = \phi(t_{j-1}) + 2 \pi \frac{\dot{x}\,(t_j) - \dot{x}\,(t_{j-1})}{\lambda} t_k & \label{eq:signal_phase} \end{align} \end{subequations} @@ -97,7 +97,7 @@ This rendering preserves the sensation of a constant spatial frequency of the vi % %Note that the finger position and velocity are transformed from the camera frame $\poseFrame{c}$ to the texture frame $\poseFrame{t}$, with the $x$ axis aligned with the texture direction. % -%However, when a new finger position is estimated at time $t_j$, the phase $\phi_j$ needs to be adjusted as well with the frequency to ensure a continuity in the signal as described in \eqref{signal_phase}. +%However, when a new finger position is estimated at time $t_j$, the phase $\phi(t_j)$ needs to be adjusted as well with the frequency to ensure a continuity in the signal as described in \eqref{signal_phase}. % The phase matching avoids sudden changes in the actuator movement thus affecting the texture perception in an uncontrolled way (\figref{phase_adjustment}) and, contrary to previous work \cite{asano2015vibrotactile,ujitoko2019modulating}, it enables a free exploration of the texture by the user with no constraints on the finger speed. 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augmentent des surfaces réelles touchées directement par le doigt. +% Nous étudions ensuite comment des retours sensoriels visuo-haptiques augmentant la main améliorent les performances et l’expérience utilisateur lors de la manipulation d'objets virtuels en RA. + \selectlanguage{french} Dans ce manuscrit de thèse, nous montrons comment la \emph{réalité augmentée (RA)}, qui intègre un contenu visuel virtuel dans la perception du monde réel, et l'\emph{haptique portable}, qui fournit des sensations tactiles sur la peau, peuvent améliorer les interactions de la main avec des objets virtuels et augmentés. diff --git a/covers.odt b/covers.odt index dc1d9edc64afef64dc491f9f6ed4b9d7f2c610d2..f11743a3115b7dfd22921b115b9254ef09423c56 100644 GIT binary patch delta 42898 zcmZU(1CVAxvn|@jv@vZ?+qOAvP20A=w!XG)+qP}noVIPhIsdsQ-o=iny)q-Ra_>S$ zWaX;k4a|c*Ohg4~a0qk|5Eu{;3k3?zI7CT^|DYD@e=wmMlqjwN^}l62FrpNlQ%FSk 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