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Taddeüs Kroes
multitouch
Commits
f39c98e4
Commit
f39c98e4
authored
Jun 18, 2012
by
Taddeüs Kroes
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Restructured section about event areas.
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docs/data/diagrams.tex
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docs/report.bib
docs/report.bib
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docs/data/diagrams.tex
View file @
f39c98e4
...
@@ -121,21 +121,20 @@
...
@@ -121,21 +121,20 @@
\architecture
{
\architecture
{
\node
[block, below of=driver]
(eventdriver)
{
Event driver
}
\node
[block, below of=driver]
(eventdriver)
{
Event driver
}
edge[linefrom] node[right, near end]
{
driver-specific messages
}
(driver);
edge[linefrom] node[right, near end]
{
driver-specific messages
}
(driver);
\node
[block, below of=eventdriver]
(area)
{
A
reas
}
\node
[block, below of=eventdriver]
(area)
{
Event a
reas
}
edge[linefrom] node[right]
{
events
}
(eventdriver);
edge[linefrom] node[right]
{
events
}
(eventdriver);
\node
[block, right of=area, xshift=7em, dashed]
(analysis)
{
Gesture detection
}
\node
[block, right of=area, xshift=7em, dashed]
(analysis)
{
Gesture detection
}
edge[linefrom, bend right=10] node[above]
{
events
}
(area)
edge[linefrom, bend right=10] node[above]
{
events
}
(area)
edge[lineto, bend left=10] node[]
{
gestures
}
(area);
edge[lineto, bend left=10] node[]
{
gestures
}
(area);
\node
[block, below of=area]
{
Application
}
\node
[block, below of=area]
{
Application
}
edge[linefrom] node[right, near start]
{
gestures
}
(area);
edge[linefrom] node[right, near start]
{
gestures
through callback function
}
(area);
\group
{
eventdriver
}{
eventdriver
}{
analysis
}{
area
}{
Architecture
}
\group
{
eventdriver
}{
eventdriver
}{
analysis
}{
area
}{
Architecture
}
}
}
\caption
{
Extension of the diagram from figure
\ref
{
fig:driverdiagram
}
,
\caption
{
Extension of the diagram from figure
\ref
{
fig:driverdiagram
}
,
showing the position of areas in the architecture. An area delegate
with event areas. An event area delegates events to a gesture detection
events to a gesture detection component that trigger gestures. The area
component that triggers a gesture. The event area then calls the
then calls the handler that is bound to the gesture type by the
handlers that are bound to the gesture type by the application.
}
application.
}
\label
{
fig:areadiagram
}
\label
{
fig:areadiagram
}
\end{figure}
\end{figure}
}
}
...
@@ -210,7 +209,7 @@
...
@@ -210,7 +209,7 @@
\def\righthand
{
\reflectbox
{
\includegraphics
[width=50pt, angle=-45]
{
data/hand.png
}}}
\def\righthand
{
\reflectbox
{
\includegraphics
[width=50pt, angle=-45]
{
data/hand.png
}}}
\def\examplefigureone
{
\def\examplefigureone
{
\begin{figure}
[h]
\begin{figure}
[h
!
]
\center
\center
% TODO: draw finger touch points as circles with rotating arrow
% TODO: draw finger touch points as circles with rotating arrow
\begin{tikzpicture}
\begin{tikzpicture}
...
@@ -259,11 +258,11 @@
...
@@ -259,11 +258,11 @@
\def\eventpropagationfigure
{
\def\eventpropagationfigure
{
\begin{figure}
[h!]
\begin{figure}
[h!]
\center
\center
\vspace
{
-2em
}
\subfigure
[An event is triggered in the white area. The event is first
\subfigure
[An event is triggered in the white area. The event is first
delegated to the white area from te gray area (2). After gesture
delegated to the white area from te gray area (2). After gesture
detection, it is propagated back to the gray area (6)
\emph
{
unless
}
detection, it is propagated back to the gray area (6)
\emph
{
unless
}
propagation has been stopped in the gesture tracker between (3) and (4).]
{
propagation has been stopped in the rotation detection component
between (3) and (4).]
{
\begin{tikzpicture}
[node distance=5.5em]
\begin{tikzpicture}
[node distance=5.5em]
\draw
node[draw=black, minimum width=190, minimum height=140] (screen) at (0,0)
{}
;
\draw
node[draw=black, minimum width=190, minimum height=140] (screen) at (0,0)
{}
;
\draw
node[fill=gray!50, draw=black!70, minimum height=100, minimum width=100] (screen) at (-0.1,-0.1)
{}
;
\draw
node[fill=gray!50, draw=black!70, minimum height=100, minimum width=100] (screen) at (-0.1,-0.1)
{}
;
...
@@ -271,15 +270,15 @@
...
@@ -271,15 +270,15 @@
\fill
(0.4, 0.6) circle (0.15);
\fill
(0.4, 0.6) circle (0.15);
\draw
node[block, yshift=-10em, xshift=-3em] (driver)
{
Event driver
}
;
\draw
node[block, yshift=-10em, xshift=-3em] (driver)
{
Event driver
}
;
\draw
node[block, below of=driver] (gray)
{
Gray area
}
\draw
node[block, below of=driver] (gray)
{
Gray
event
area
}
edge[linefrom] node[left]
{
1
}
(driver);
edge[linefrom] node[left]
{
1
}
(driver);
\draw
node[block, below of=gray] (white)
{
White area
}
\draw
node[block, below of=gray] (white)
{
White
event
area
}
edge[linefrom, bend left=15] node[left]
{
2
}
(gray)
edge[linefrom, bend left=15] node[left]
{
2
}
(gray)
edge[lineto, bend right=15] node[right]
{
6
}
(gray);
edge[lineto, bend right=15] node[right]
{
6
}
(gray);
\draw
node[block, right of=white, xshift=4em]
{
\emph
{
rotation
}
tracker
}
\draw
node[block, right of=white, xshift=4em]
{
rotation detection
}
edge[linefrom, bend right=15] node[above]
{
3
}
(white)
edge[linefrom, bend right=15] node[above]
{
3
}
(white)
edge[lineto, dotted, bend left=15] node[below]
{
4
}
(white);
edge[lineto, dotted, bend left=15] node[below]
{
4
}
(white);
\draw
node[block, right of=gray, xshift=4em]
{
\emph
{
rotation
}
tracker
}
\draw
node[block, right of=gray, xshift=4em]
{
rotation detection
}
edge[linefrom, bend right=15] node[above]
{
7
}
(gray)
edge[linefrom, bend right=15] node[above]
{
7
}
(gray)
edge[lineto, dotted, bend left=15] node[below]
{
8
}
(gray);
edge[lineto, dotted, bend left=15] node[below]
{
8
}
(gray);
\draw
node[block, below of=white]
{
Application
}
\draw
node[block, below of=white]
{
Application
}
...
@@ -288,8 +287,8 @@
...
@@ -288,8 +287,8 @@
\end{tikzpicture}
\end{tikzpicture}
}
}
\quad
\quad
\subfigure
[An event is triggered in the gray area, it does not even
\subfigure
[An event is triggered in the gray
event
area, it does not even
reach the white area.]
{
reach the white
event
area.]
{
\begin{tikzpicture}
[node distance=5.5em]
\begin{tikzpicture}
[node distance=5.5em]
\draw
node[draw=black, minimum width=190, minimum height=140] (screen) at (0,0)
{}
;
\draw
node[draw=black, minimum width=190, minimum height=140] (screen) at (0,0)
{}
;
\draw
node[fill=gray!50, draw=black!70, minimum height=100, minimum width=100] (screen) at (-0.1,-0.1)
{}
;
\draw
node[fill=gray!50, draw=black!70, minimum height=100, minimum width=100] (screen) at (-0.1,-0.1)
{}
;
...
@@ -297,11 +296,11 @@
...
@@ -297,11 +296,11 @@
\fill
(-0.5, -0.7) circle (0.15);
\fill
(-0.5, -0.7) circle (0.15);
\draw
node[block, yshift=-10em, xshift=-3em] (driver)
{
Event driver
}
;
\draw
node[block, yshift=-10em, xshift=-3em] (driver)
{
Event driver
}
;
\draw
node[block, below of=driver] (gray)
{
Gray area
}
\draw
node[block, below of=driver] (gray)
{
Gray
event
area
}
edge[linefrom] node[left]
{
1
}
(driver);
edge[linefrom] node[left]
{
1
}
(driver);
\draw
node[block, below of=gray] (white)
{
White area
}
;
\draw
node[block, below of=gray] (white)
{
White
event
area
}
;
\draw
node[block, right of=white, xshift=4em]
{
\emph
{
rotation
}
tracker
}
;
\draw
node[block, right of=white, xshift=4em]
{
rotation detection
}
;
\draw
node[block, right of=gray, xshift=4em]
{
\emph
{
rotation
}
tracker
}
\draw
node[block, right of=gray, xshift=4em]
{
rotation detection
}
edge[linefrom, bend right=15] node[above]
{
2
}
(gray)
edge[linefrom, bend right=15] node[above]
{
2
}
(gray)
edge[lineto, dotted, bend left=15] node[below]
{
3
}
(gray);
edge[lineto, dotted, bend left=15] node[below]
{
3
}
(gray);
\draw
node[block, below of=white]
{
Application
}
\draw
node[block, below of=white]
{
Application
}
...
@@ -310,7 +309,7 @@
...
@@ -310,7 +309,7 @@
}
}
\caption
{
Two nested squares both listen to rotation gestures. The two
\caption
{
Two nested squares both listen to rotation gestures. The two
figures both show a touch object triggering an event, which is
figures both show a touch object triggering an event, which is
delegated through the area tree in the order indicated by the numbered
delegated through the
event
area tree in the order indicated by the numbered
arrow labels. Normal arrows represent events, dotted arrows represent
arrow labels. Normal arrows represent events, dotted arrows represent
gestures. Note that the dotted arrows only represent the path a gesture
gestures. Note that the dotted arrows only represent the path a gesture
would travel in the tree
\emph
{
if triggered
}
, not an actual triggered
would travel in the tree
\emph
{
if triggered
}
, not an actual triggered
...
...
docs/report.bib
View file @
f39c98e4
...
@@ -178,3 +178,10 @@
...
@@ -178,3 +178,10 @@
year = "2007"
year = "2007"
}
}
@misc{gtkeventpropagation,
author = "Reis, Christian",
note = "\url{faq.pygtk.org/index.py?file=faq03.011.htp\&req=show}",
title = "{How do signals and events propagate in GTK+?}",
year = "2002"
}
docs/report.tex
View file @
f39c98e4
...
@@ -243,116 +243,168 @@ goal is to test the effectiveness of the design and detect its shortcomings.
...
@@ -243,116 +243,168 @@ goal is to test the effectiveness of the design and detect its shortcomings.
% TODO: in introduction: gestures zijn opgebouwd uit meerdere primitieven
% TODO: in introduction: gestures zijn opgebouwd uit meerdere primitieven
Touch input devices are unaware of the graphical input
Touch input devices are unaware of the graphical input
widgets
\footnote
{
``Widget'' is a name commonly used to identify an element
widgets
\footnote
{
``Widget'' is a name commonly used to identify an element
of a graphical user interface (GUI).
}
rendered on screen
and therefore
of a graphical user interface (GUI).
}
of an application,
and therefore
generate events that simply identify the screen location at which an event
generate events that simply identify the screen location at which an event
takes place. In order to be able to direct a gesture to a particular widget
takes place. User interfaces of applications that do not run in full screen
on screen, an application programmer must restrict a gesture to the area of
modus are contained in a window. Events which occur outside the application
the screen covered by that widget. An important question is if the
window should not be handled by the program in most cases. What's more,
architecture should offer a solution to this problem, or leave it to the
widget within the application window itself should be able to respond to
application developer.
different gestures. E.g. a button widget may respond to a ``tap'' gesture
to be activated, whereas the application window responds to a ``pinch''
The latter case generates a problem when a gesture must be able to occur at
gesture to be resized. In order to be able to direct a gesture to a
different screen positions at the same time. Consider the example in figure
particular widget in an application, a gesture must be restricted to the
\ref
{
fig:ex1
}
, where two squares can be rotated independently at the same
area of the screen covered by that widget. An important question is if the
time. If the developer is left the task to assign a gesture to one of the
architecture should offer a solution to this problem, or leave the task of
squares, the event analysis component in figure
\ref
{
fig:driverdiagram
}
assigning gestures to application widgets to the application developer.
receives all events that occur on the screen. Assuming that the rotation
detection logic detects a single rotation gesture based on all of its input
If the architecture does not provide a solution, the ``Event analysis''
events, without detecting clusters of input events, only one rotation
component in figure
\ref
{
fig:multipledrivers
}
receives all events that
gesture can be triggered at the same time. When a user attempts to
occur on the screen surface. The gesture detection logic thus uses all
``grab'' one rectangle with each hand, the events triggered by all fingers
events as input to detect a gesture. This leaves no possibility for a
are combined to form a single rotation gesture instead of two separate
gesture to occur at multiple screen positions at the same time, unless the
gestures.
gesture detection logic incorporates event cluster detection. The problem
is illustrated in figure
\ref
{
fig:ex1
}
, where two widgets on the screen can
be rotated independently. The rotation detection component that detects
rotation gestures receives all four fingers as input. If the two groups of
finger events are not separated by cluster detection, only one rotation
event will occur.
\examplefigureone
\examplefigureone
To overcome this problem, groups of events must be clustered by the event
A gesture detection component could perform a heuristic way of cluster
analysis component before any detection logic is executed. An obvious
detection based on the distance between events. However, this method cannot
solution for the given example is to incorporate this separation in the
guarantee that a cluster of events corresponds with a particular
rotation detection logic itself, using a distance threshold that decides if
application widget. In short, gesture detection is difficult to implement
an event should be added to an existing rotation gesture. Leaving the task
without awareness of the location of application widgets. Moreover, the
of separating groups of events to detection logic leads to duplication of
application developer still needs to direct gestures to a particular widget
code. For instance, if the rotation gesture is replaced by a
\emph
{
pinch
}
manually. This requires geometric calculations in the application logic,
gesture that enlarges a rectangle, the detection logic that detects the
which is a tedious and error-prone task for the developer.
pinch gesture would have to contain the same code that separates groups of
events for different gestures. Also, a pinch gesture can be performed using
A better solution is to group events that occur inside the area covered by
fingers multiple hands as well, in which case the use of a simple distance
a widget, before passing them on to a gesture detection component.
threshold is insufficient. These examples show that gesture detection logic
Different gesture detection components can then detect gestures
is hard to implement without knowledge about (the position of)
the
simultaneously, based on different sets of input events. An area of
the
widget that is receiving the gesture.
screen surface will be represented by an
\emph
{
event area
}
. An event area
filters input events based on their location, and then delegates events to
A better solution for the assignment of events to gesture detection is to
gesture detection components that are assigned to the event area. Events
make the gesture detection component aware of the locations of application
which are located outside the event area are not delegated to its gesture
widgets on the screen. To accomplish this, the architecture must contain a
detection components.
representation of the screen area covered by a widget. This leads to the
concept of an
\emph
{
area
}
, which represents an area on the touch surface in
In the example of figure
\ref
{
fig:ex1
}
, the two rotatable widgets can be
which events should be grouped before being delegated to a form of gesture
represented by two event areas, each having a different rotation detection
detection. Examples of simple area implementations are rectangles and
component.
circles. However, area's could also be made to represent more complex
shapes.
\subsection*
{
Callback mechanism
}
An area groups events and assigns them to gesture detection logic. This
When a gesture is detected by a gesture detection component, it must be
possibly triggers a gesture, which must be handled by the client
handled by the client application. A common way to handle events in an
application
. A common way to handle events in an application i
s a
application
is a ``callback'' mechanism: the application developer bind
s a
``callback'' mechanism: the application developer binds a function to an
function to an event, that is called when the event occurs. Because of the
event, that is called when the event occurs. Because of the familiarity of
familiarity of this concept with developers, the architecture uses a
this concept with developers, the architecture uses a callback mechanism to
callback mechanism to handle gestures in an application. Since an area
handle gestures in an application. Since an area controls the grouping of
controls the grouping of events and thus the occurrence of gestures in an
events and thus the occurrence of gestures in an area, gesture handlers for
area, gesture handlers for a specific gesture type are bound to an area.
a specific gesture type are bound to an area. Figure
\ref
{
fig:areadiagram
}
Figure
\ref
{
fig:areadiagram
}
shows the position of areas in the
shows the position of areas in the
architecture.
architecture.
\areadiagram
\areadiagram
An area can be seen as an independent subset of a touch surface. Therefore,
%Note that the boundaries of an area are only used to group events, not
the parameters (coordinates) of events and gestures within an area should
%gestures. A gesture could occur outside the area that contains its
be relative to the area.
%originating events, as illustrated by the example in figure \ref{fig:ex2}.
Note that the boundaries of an area are only used to group events, not
%\examplefiguretwo
gestures. A gesture could occur outside the area that contains its
originating events, as illustrated by the example in figure
\ref
{
fig:ex2
}
.
A remark must be made about the use of event areas to assign events to the
detection of some gesture. The concept of an event area is based on the
\examplefiguretwo
assumption that the set or originating events that form a particular
gesture, can be determined based exclusively on the location of the events.
A remark must be made about the use of areas to assign events the detection
This is a reasonable assumption for simple touch objects whose only
of some gesture. The concept of an ``area'' is based on the assumption that
parameter is a position, such as a pen or a human finger. However, more
the set or originating events that form a particular gesture, can be
complex touch objects can have additional parameters, such as rotational
determined based exclusively on the location of the events. This is a
orientation or color. An even more generic concept is the
\emph
{
event
reasonable assumption for simple touch objects whose only parameter is a
filter
}
, which detects whether an event should be assigned to a particular
position, such as a pen or a human finger. However, more complex touch
gesture detection component based on all available parameters. This level of
objects can have additional parameters, such as rotational orientation or
color. An even more generic concept is the
\emph
{
event filter
}
, which
detects whether an event should be assigned to a particular piece of
gesture detection based on all available parameters. This level of
abstraction allows for constraints like ``Use all blue objects within a
abstraction allows for constraints like ``Use all blue objects within a
widget for rotation, and green objects for
tapp
ing.''. As mentioned in the
widget for rotation, and green objects for
dragg
ing.''. As mentioned in the
introduction chapter [
\ref
{
chapter:introduction
}
], the scope of this thesis
introduction chapter [
\ref
{
chapter:introduction
}
], the scope of this thesis
is limited to multi-touch surface based devices, for which the
\emph
{
area
}
is limited to multi-touch surface based devices, for which the
\emph
{
event
concept suffices. Section
\ref
{
sec:eventfilter
}
explores the possibility of
area
}
concept suffices. Section
\ref
{
sec:eventfilter
}
explores the
areas to be replaced with event filters.
possibility of event
areas to be replaced with event filters.
\subsection
{
Area tree
}
\subsection
{
Area tree
}
\label
{
sec:tree
}
\label
{
sec:tree
}
The most simple
implementation of areas in the architecture is
a list of
The most simple
usage of event areas in the architecture would be
a list of
areas. When the event driver delegates an event, it is delegated to gesture
event areas. When the event driver delegates an event, it is accepted by
detection by each
area that contains the event coordinates.
each event
area that contains the event coordinates.
If the architecture were to be used in combination with an application
If the architecture were to be used in combination with an application
framework like GTK
\cite
{
GTK
}
, each GTK widget that must receive gestures
framework like GTK
\cite
{
GTK
}
, each GTK widget that responds to gestures
should have a mirroring area that synchronizes its position with that of
should have a mirroring event area that synchronizes its location with that
the widget. Consider a panel with five buttons that all listen to a
of the widget. Consider a panel with five buttons that all listen to a
``tap'' event. If the panel is moved as a result of movement of the
``tap'' event. If the location of the panel changes as a result of movement
application window, the position of each button has to be updated.
of the application window, the positions of all buttons have to be updated
too.
This process is simplified by the arrangement of areas in a tree structure.
A root area represents the panel, containing five subareas which are
This process is simplified by the arrangement of event areas in a tree
positioned relative to the root area. The relative positions do not need to
structure. A root event area represents the panel, containing five other
be updated when the panel area changes its position. GUI frameworks, like
event areas which are positioned relative to the root area. The relative
GTK, use this kind of tree structure to manage widgets. A recommended first
positions do not need to be updated when the panel area changes its
step when developing an application is to create some subclass of the area
position. GUI frameworks, like GTK, use this kind of tree structure to
that synchronizes with the position of a widget from the GUI framework
manage graphical widgets.
automatically.
If the GUI toolkit provides an API for requesting the position and size of
a widget, a recommended first step when developing an application is to
create some subclass of the area that automatically synchronizes with the
position of a widget from the GUI framework.
\subsection
{
Event propagation
}
\label
{
sec:eventpropagation
}
A problem occurs when event areas overlap, as shown by figure
\ref
{
fig:eventpropagation
}
. When the white square is rotated, the gray
square should keep its current orientation. This means that events that are
used for rotation of the white square, should not be used for rotation of
the gray square. The use of event areas alone does not provide a solution
here, since both the gray and the white event area accept an event that
occurs within the white square.
The problem described above is a common problem in GUI applications, and
there is a common solution (used by GTK
\cite
{
gtkeventpropagation
}
, among
others). An event is passed to an ``event handler''. If the handler returns
\texttt
{
true
}
, the event is considered ``handled'' and is not
``propagated'' to other widgets.
Applied to the example of the rotating squares, the rotation detection
component of the white square should stop the propagation of events to the
event area of the gray square. This is illustrated in figure
\ref
{
fig:eventpropagation
}
.
In the example, rotation of the white square has priority over rotation of
the gray square because the white area is the widget actually being touched
at the screen surface. In general, events should be delegated to event
areas according to the order in which the event areas are positioned over
each other. The tree structure in which event areas are arranged, is an
ideal tool to determine the order in which an event is delegated. Event
areas in deeper layers of the tree are positioned on top of their parent.
An object touching the screen is essentially touching the deepest event
area in the tree that contains the triggered event. That event area should
be the first to delegate the event to its gesture detection components, and
then propagate the event up in the tree to its ancestors. A gesture
detection component can stop the propagation of the event.
An additional type of event propagation is ``immediate propagation'', which
indicates propagation of an event from one gesture detection component to
another. This is applicable when an event area uses more than one gesture
detection component. One of the components can stop the immediate
propagation of an event, so that the event is not passed to the next
gesture detection component, nor to the ancestors of the event area.
When regular propagation is stopped, the event is propagated to other
gesture detection components first, before actually being stopped.
\eventpropagationfigure
\newpage
\section
{
Detecting gestures from events
}
\section
{
Detecting gestures from events
}
\label
{
sec:gesture-detection
}
\label
{
sec:gesture-detection
}
...
@@ -410,39 +462,6 @@ goal is to test the effectiveness of the design and detect its shortcomings.
...
@@ -410,39 +462,6 @@ goal is to test the effectiveness of the design and detect its shortcomings.
``transformation tracker'' that detects rotation, scaling and translation
``transformation tracker'' that detects rotation, scaling and translation
gestures.
gestures.
\section
{
Reserving an event for a gesture
}
\label
{
sec:reserve-event
}
A problem occurs when areas overlap, as shown by figure
\ref
{
fig:eventpropagation
}
. When the white square is rotated, the gray
square should keep its current orientation. This means that events that are
used for rotation of the white square, should not be used for rotation of
the gray square. To achieve this, there must be some communication between
the gesture trackers of the two squares. When an event in the white square
is used for rotation, that event should not be used for rotation in the
gray square. In other words, the event must be
\emph
{
reserved
}
for the
rotation gesture in the white square. In order to reserve an event, the
event needs to be handled by the rotation tracker of the white before the
rotation tracker of the grey square receives it. Otherwise, the gray square
has already triggered a rotation gesture and it will be too late to reserve
the event for rotation of the white square.
When an object touches the touch surface, the event that is triggered
should be delegated according to the order in which its corresponding areas
are positioned over each other. The tree structure in which areas are
arranged (see section
\ref
{
sec:tree
}
), is an ideal tool to determine the
order in which an event is delegated to different areas. Areas in the tree
are positioned on top of their parent. An object touching the screen is
essentially touching the deepest area in the tree that contains the
triggered event. That area should be the first to delegate the event to its
gesture trackers, and then move the event up in the tree to its ancestors.
The movement of an event up in the area tree will be called
\emph
{
event
propagation
}
. To reserve an event for a particular gesture, a gesture
tracker can stop its propagation. When propagation of an event is stopped,
it will not be passed on the ancestor areas, thus reserving the event.
The diagram in appendix
\ref
{
app:eventpropagation
}
illustrates the use of
event propagation, applied to the example of the white and gray squares.
\section
{
Serving multiple applications
}
\section
{
Serving multiple applications
}
\label
{
sec:daemon
}
\label
{
sec:daemon
}
...
@@ -787,11 +806,6 @@ client application, as stated by the online specification
...
@@ -787,11 +806,6 @@ client application, as stated by the online specification
values back to the actual screen dimension.
values back to the actual screen dimension.
\end{quote}
\end{quote}
\chapter
{
Diagram demonstrating event propagation
}
\label
{
app:eventpropagation
}
\eventpropagationfigure
\chapter
{
Gesture detection in the reference implementation
}
\chapter
{
Gesture detection in the reference implementation
}
\label
{
app:implementation-details
}
\label
{
app:implementation-details
}
...
...
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