• Journal of IKEEE
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• v.26 no.2
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• pp.150-159
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• 2022

In this paper, we propose a physics simulation for augmented reality (AR) billiards content. The characteristics of the physics simulation for the proposed AR billiards content are as follows. First, physical equations are derived by calculating the force and moment of inertia applied to the billiards ball to realize the motion of the billiards ball similar to the real one in the AR environment. Then, we determine the velocity and angular velocity of the virtual billiards ball associated with the rotation of the virtual billiards ball with respect to the impact point. Second, using some vectors such as incidnet vector, normal vector, reflection vector, the trajectory of the virtual billiards ball would be implement. these equations are applied to AR environment so that AR billiards content could be implement. This physics simulation allows users to feel like the real world using a virtual pool table and induce them to interact with the real environment. As a result of the experiment, the accuracy range between the path of the real billiards ball and the path of the virtual billiards ball was calculated to be 97.75% to 99.11%. Therefore, it was determined that the performance of the physics simulation for the AR billiards content proposed in this paper performs similarly to the path of the real billiards ball.

• Journal of Korean Society of Occupational and Environmental Hygiene
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• v.26 no.4
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• pp.411-417
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• 2016

Objectives: The aims of this study were to determine the indoor level of environmental tobacco smoke (ETS) and to assess the implementation rate of smoke-free laws at hospitality venues around a university campus by measuring particulate matter smaller than $2.5{\mu}m$ ($PM_{2.5}$) as an indicator of ETS. Materials and Methods: We measured indoor $PM_{2.5}$ concentrations at 20 PC game rooms, 20 pubs, and 20 billiards halls using Sidepak AM510, a direct reading portable real time monitor, from October to December 2015. Results: Smoking was observed in 65% of the PC game rooms, 10% of pubs, and 85% of billiards halls. The average $PM_{2.5}$ concentrations were $98.2{\mu}g/m^3$, $29.0{\mu}g/m^3$, and $134.2{\mu}g/m^3$ at PC game rooms, pubs, and billiards halls, respectively. $PM_{2.5}$ concentrations in PC game rooms and billiards halls were 2 to 2.7 times higher than the 24-hour exposure standard for outdoor $PM_{2.5}$ ($50{\mu}g/m^3$) by the Ministry of Environment. Conclusions: Although a smoking ban has been implemented for PC rooms and pubs, smoking is still taking place in many of these places. More stringent legal action is required for successfully protecting patrons and workers from secondhand smoke exposure. A ban on smoking in billiards halls should be introduced as quickly as possible.

• Journal of Mechanical Science and Technology
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• v.19 no.4
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• pp.976-984
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• 2005

This paper presents the analysis results of dynamics in the billiards game within the frame­work of rigid-body mechanics and a numerical simulation program. The friction exists between the ball and the table bed as well as between the ball and the rail. There are three parts in the dynamic behavior of the ball on the table bed; motion of the ball on the table bed, collision between balls, and collision between the ball and the cushion. During the development of the simulation program, the dynamics problems such as rolling motion and three-dimensional frictional impact motion have been analyzed in detail. The theoretical issues are implemented into a viable graphic simulation program and its efficacy is demonstrated through the experi­mental validation of the billiards game. The resulting analysis results are verified quantitatively and qualitatively using high-speed video camera. Through the experimental tests, it was found that the physical parameters such as coefficients of restitution and friction vary according to the motion variables and corresponding empirical formulations were developed. The simulation and experimental results agree well.

• Journal of Practical Engineering Education
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• v.12 no.2
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• pp.309-319
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• 2020

Billiards is a fun and popular sport, but both route planning and cueing prevent beginners from becoming skillful. A beginner in billiards requires constant concentration and training to reach the right level, but without the right motivating factor, it is easy to lose interests. This study aims to induce interest in billiards and accelerate learning by utilizing billiard path prediction and visualization on a highly immersive augmented reality platform that combines a stereo camera and a VR headset. For implementation, the placement of billiard balls is recognized through the OpenCV image processing program, and physics simulation, path search, and visualization are performed in Unity Engine. As a result, accurate path prediction can be achieved. This made it possible for beginners to reduce the psychological burden of planning the path, focus only on accurate cueing, and gradually increase their billiard proficiency by getting used to the path suggested by the algorithm for a long time. We confirm that the proposed AR billiards is remarkably effective as a learning assistant tool.

• The Journal of the Institute of Internet, Broadcasting and Communication
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• v.24 no.2
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• pp.29-34
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• 2024

Since the outbreak of COVID-19, there has been a surge in sports conducted through online platforms due to the increase in remote and non-contact activities. Billiards, being suitable for online platforms, has received much attention, leading to research on detecting the position and trajectory of balls. In this paper, we propose a new method utilizing machine vision to detect the position of the balls accurately. The proposed method detects the outline of the ball using the Canny edge detection and then employs simple correlation to determine its position. This correlation-based approach offers satisfactory system performance and is easily applicable in practical systems due to its low implementation complexity and robustness to noise.

• Bulletin of the Korean Mathematical Society
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• v.36 no.1
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• pp.147-159
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• 1999

Tabanov investigated the global symmetric perturbation of the integrable billiard mapping in the ellipse [3]. He showed the nonintegrability of the Birkhoff billiard in the perturbed domain by proving that the principal separatrices splitting angle is not zero.In this paper, using the exact separatrix map of an one-degree-of freedom Hamiltoniam system with time periodic perturbation, we show the existence the stochastic layer including the uniformly hyperbolic invariant set which implies the nonintegrability near the separatrices of a Birkhoff's billiard in the domain bounded by $C^2$ convex simple curve constructed by the generic global perturbation of the ellipse.

• Journal of Digital Convergence
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• v.14 no.11
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• pp.645-654
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• 2016

The purpose of this research is aimed at billiards experts and non-experts during the billiard stroke: a comparative analysis of concentration and muscle activity, identifying the differences between the two groups by the objective and scientific data is presented to propose the basis for effective and efficient training methods of billiards. The results of the study showed no significant differences in muscle activity and concentration between experts and non-experts. Therefore, the muscle activity and concentration between the experts and non-experts had no positive effect during the billiard stroke. These causes are thought to be as a lack of research subjects, being a one-time experiment, and not being able to control psychological and physiological experiments completely. In this regard, psychological and physiological experiments are considered to be controlled for further study to determine the principles more clearly.

• Journal of Korean Academy of Rural Health Nursing
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• v.2 no.1
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• pp.24-32
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• 2007

Purpose: This study was done to provide statistical data for developing client-needs based welfare services in community welfare facilities. Method: The participants were 270 senior citizens, who visited a community welfare center in Gyunggi province, during the month of October 2005. They were asked to answer a structured questionnaire. Descriptive statistics, $X^2$ test and Fisher's exact test were used to analyze the data from 221 of the elders. Results: 1. More than 50% of the respondents were women aged between 60 and 75, who had education levels above high school and who lived in apartments. Among the respondents, 54.3% lived separately from their children. 2. 70.0% of the respondents considered their health status as "good", even though they had more than one disease. Also 41% of the respondents were supported by their children, and 76.8% wanted jobs. 3. The respondents pointed out several programs such as languages, computer, singing class, physical activities (dances, billiards, Tai-chi and table tennis), needed to be included in the welfare center programs. Conclusions: Elders aged 60-75, educated above high school, living in an apartments, live alone or with spouse, and having frequent contact with children, were the most frequent utilizers of the welfare center. They want the welfare center programs in variety, including languages, computer, singing class, and physical activities.