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where $R$ is the maximum horizontal range that the garbage can reach from the point where it was thrown, $v_{0}$ being the initial velocity, sin $\theta$ as the component of the y-axis, and $g$ being the acceleration due to the gravity of the earth which is $9.8 m/s^{2}$ \cite{resnick1988fundamentals}.
To make sure that the garbage will only fall within the range of the player, the computation of
the each garbage's maximum range
is was applied. An addition or subtraction
operation will be performed in order to strictly comply with the valid range inside the game environment.
As means for game creation, the researchers
has had applied the game in a Kinect. Gesture recognition devices, such as Kinect, has given an extended impact beyond the gaming industry. With its wide availability and low cost, many researchers in different fields of science and technology are leveraging
its sensing technology to develop new ways to interact with
machines, machines and
to perform other
tasks, from tasks such as helping children with autism
to and assisting doctors in operating rooms \cite{zhang2012microsoft}.
The
Kinect Kinect's motion sensing involves five
level levels of processing. In the study of \cite{carlsson2012investigating}, under the data processing
level are two different
processes, namely the Image processes: image processing and
the Depth depth processing. The image processing will process the filtering, colors and scaling. The input data will be translated to gray-scale which prepares the image for skeletal and motion tracking. The filtering process will
remove and enhance the
data, removing the data
refers to through noise reduction by means of Gaussian filtering enhancement. In the process of scaling, it
allows uses algorithms to focus on a certain area in a frame or
decreasing decrease the resolution for execution. The depth processing handles the scaling on the z-axis that will also make the image three dimensional \cite{Ren_2013}. In the second level processing,
the feature extraction will be
use used to compare
each all frames of the data to correctly detect an object of interest. For the next level,
the skeletal tracking
of a human body will be
use used to represent a number of joints with each one represented by a 3d coordinate \cite{zhang2012microsoft}. Furthermore,
in the gesture
recognition, it recognition is the process of looking at
the patterns and distinct features of an object in an effort to recognize
whether which object it is and what object to be tracked in the scene. In the last level
of processing,
the template matching
will be able to find the finds an object in an image and
track tracks it by looking at the similarities of a smaller part of the image to determine whether the gesture is valid or not.
But, But despite
of the fact that Kinect can provide
an overall human body tracking,
it is there are still
a problem to use problems in Kinect,
specifically, specifically in hand gesture recognition \cite{Ren_2013}.
The researchers then used the Collision detection algorithm to further enhance the performance of Kinect's gesture recognition as well as the projectile model presented. The collision detection algorithm
worked by tracking tracked the relation of each pair of solids. The analysis problem of collision detection generally occurred as part of the synthesis problem of collision-free path planning. The path planner may be a person working with a robot simulation system or an algorithm computing over a representation of objects and trajectories \cite{culley1986collision} which is a fundamental need of the study.
The collision Collision avoidance refers to the ability of an object to avoid undesired collision. \cite{de2012integrated} The incorporation of the collision detection algorithm in the Kinect and Projectile model was seen in three major game processes
in the game and the correctness and validity of the gesture as compared to a provided data set.
