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Accurate dynamic models for racket-ball bounces are essential for reliable control in robotic table tennis. Existing models typically assume simple linear models and are restricted to inverted rubbers, limiting their ability to generalize…

Robotics · Computer Science 2026-04-14 Thomas Gossard

In the classroom demonstration of a tennis ball dropped on top of a basketball, the surprisingly high bounce of the tennis ball is typically explained using momentum conservation for elastic collisions, with the basketball-floor collision…

Classical Physics · Physics 2022-03-08 Sean P. Bartz

If a tennis ball is held above a basket ball with their centers vertically aligned, and the balls are released to collide with the floor, the tennis ball may rebound at a surprisingly high speed. We show in this article that the simple…

Classical Physics · Physics 2015-05-20 Patric Mueller , Thorsten Poeschel

The phenomenon known as the tennis racket effect is observed when a rigid body experiences unstable rotation around its intermediate axis. In free space, this leads to the Dzhanibekov effect, where triaxial objects like a spinning wing bolt…

Classical Physics · Physics 2023-12-27 J. A. de la Torre , Pep Español

Motion blur reduces the clarity of fast-moving objects, posing challenges for detection systems, especially in racket sports, where balls often appear as streaks rather than distinct points. Existing labeling conventions mark the ball at…

Computer Vision and Pattern Recognition · Computer Science 2026-03-31 Thomas Gossard , Filip Radovic , Andreas Ziegler , Andreas Zell

This paper explores the concept of "momentum" in sports competitions through the use of the TOPSIS model and 0-1 logistic regression model. First, the TOPSIS model is employed to evaluate the performance of two tennis players, with…

Econometrics · Economics 2024-09-05 Mingpu Ma

In table tennis, the rotation (spin) of the ball plays a crucial role. A table tennis match will feature a variety of strokes. Each generates different amounts and types of spin. To develop a robot that can compete with a human player, the…

Computer Vision and Pattern Recognition · Computer Science 2020-11-09 Jonas Tebbe , Lukas Klamt , Yapeng Gao , Andreas Zell

This paper investigates the Tennis Momentum Model (TMM), which aims to enhance the understanding of match dynamics by integrating key factors such as efficiency, historical scoring probabilities, and real-time scoring data. The model is…

Applications · Statistics 2025-09-30 Jackson Graves , Daniel X. Guo , Ridge Shepherd , Alexander Young

In racket sports, such as tennis, locating the ball's position at impact is important in clarifying player and equipment characteristics, thereby aiding in personalized equipment design. High-speed cameras are used to measure the impact…

Computer Vision and Pattern Recognition · Computer Science 2025-06-11 Yuto Kase , Kai Ishibe , Ryoma Yasuda , Yudai Washida , Sakiko Hashimoto

The game of table tennis is renowned for its extremely high spin rate, but most table tennis robots today struggle to handle balls with such rapid spin. To address this issue, we have contributed a series of methods, including: 1.…

Robotics · Computer Science 2025-03-04 Xiaoyi Hu , Yue Mao , Gang Wang , Qingdu Li , Jianwei Zhang , Yunfeng Ji

A ball rolled over a shallow step will experience an increase in velocity along the direction perpendicular to the step. This causes a deflection in the ball's trajectory. In this paper we derive the equations that describe the motion of a…

Physics Education · Physics 2026-05-21 Keith Zengel , Laruen Boehnert

Sports analysis requires processing large amounts of data, which is time-consuming and costly. Advancements in neural networks have significantly alleviated this burden, enabling highly accurate ball tracking in sports broadcasts. However,…

Computer Vision and Pattern Recognition · Computer Science 2025-06-26 Thomas Gossard , Andreas Ziegler , Andreas Zell

Learning to play table tennis is a challenging task for robots, as a wide variety of strokes required. Recent advances have shown that deep Reinforcement Learning (RL) is able to successfully learn the optimal actions in a simulated…

Robotics · Computer Science 2022-10-11 Yapeng Gao , Jonas Tebbe , Andreas Zell

Badminton is known as one of the fastest racket sports in the world. Despite doubles matches being more prevalent in international tournaments than singles, previous research has mainly focused on singles due to the challenges in data…

Computer Vision and Pattern Recognition · Computer Science 2025-08-20 Seungheon Baek , Jinhyuk Yun

Tennis is so popular that coaches and players are curious about factors other than skill, such as momentum. This article will try to define and quantify momentum, providing a basis for real-time analysis of tennis matches. Based on the…

Machine Learning · Computer Science 2026-03-25 Ruixin Peng , Ziqing Li

We propose a complete theoretical description of the tennis racket effect, which occurs in the free rotation of a three-dimensional rigid body. This effect is characterized by a flip ($\pi$- rotation) of the head of the racket when a full…

Classical Physics · Physics 2017-01-04 L. Van Damme , P. Mardesic , D. Sugny

A double inverted pendulum plant has been in the domain of control researchers as an established model for studies on stability. The stability of such as a system taking the linearized plant dynamics has yielded satisfactory results by many…

Systems and Control · Computer Science 2015-11-10 Kavirayani Srikanth , Gundavarapu Nagesh Kumar

It is shown that the putting stroke of world class golfers can be described as the motion of a pendulum driven at twice its natural resonance frequency. This model minimizes error in the speed of the putter head due to random errors in the…

Popular Physics · Physics 2009-03-11 Robert D. Grober

Two accelerometers are used to measure the motion of the golf club. The accelerometers are mounted in the shaft of the golf club. Each measures the acceleration along the axis of the shaft of the golf club. Interpreting the measurement with…

Instrumentation and Detectors · Physics 2010-01-07 Robert D. Grober

When a ball hits a surface, does the angle of reflection always equal the angle of incidence? Not at all! Depending on the interplay of the ball's spin and speed and the force of friction, the ball's behavior after the bounce may differ…

Physics Education · Physics 2013-08-27 Robert Brashear , Kevin Kim , Carolina Santos , Mikhail Kagan
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