Abstract: A system for determining potential changes in trajectories of golf shots includes a sensor array sensing swing data relating to a golfer's swing and trajectory data relating to the trajectories of each of a plurality of shots hit by the golfer and a computing arrangement including a data repository and a processor configured to: store in the data repository the swing data and the trajectory data; identify shots hit by the golfer that represent mishits; and determine output data based on the swing data and the trajectory data for all of the shots hit by the golfer that are not identified as mishits, the output data indicating an optimal shot achievable by the golfer.

Abstract: A system for tracking an object includes a first tracking device aimed so that a first field of view of the first tracking device covers at least a portion of a target volume into which an object is to be launched from a launch location and a processor receiving data from the tracking device and identifying from the data the velocity of the object over time, the processor identifying, based on changes in the velocity of the object over time, a first portion of a path of the object during which the object was in one of a bouncing state and a sliding state.

Abstract: A system determining a spin axis of a ball includes a radar transmitting a signal into a target area. The radar includes a minimum of three receivers arranged so that two pairs of receivers are not co-linear. The system also includes a Processing Unit (“PU”) receiving data from the radar and determining a radar range of frequencies received at a point in time corresponding to differing velocities relative to the radar of different portions of the ball as the ball is spinning. PU divides the radar frequency range into a plurality of frequency components and calculating, for each of the frequency components, an angular position associated therewith. PU identifies as a projection of the spin axis in a plane perpendicular to a line of sight from the radar to the ball, a line perpendicular to a line represented by the determined angular positions.

Abstract: A system for tracking multiple projectiles includes a first radar device aimed so that a field of view of the first radar device covers at least a portion of a target area into which projectiles are to be launched from a plurality of launch locations and a processor receiving data from the radar and identifying from the data tracks of a plurality of projectiles. The processor determines for each projectile track identified a specific one of the launch locations from which the projectile was launched and provides to the launch location associated with each projectile data corresponding to a trajectory of the projectile.

Abstract: A system for tracking the movement of an object includes a radar device having a first field of view. The radar device generates radar data indicating one of a range corresponding to a distance of a moving object within the first field of view from the radar device and a range rate corresponding to a rate at which the distance is changing relative to the radar device. The system also includes an imager having a second field of view at least partially overlapping the first field of view in an overlap field of view. The imager generates imager data measuring, when the object is in the second field of view, an angular position of the object relative to the imager in at least one dimension. In addition, the system includes a processor combining the radar data and imager data, when the object is in the overlap field of view, to identify a track of the object in at least two dimensions.

Abstract: A system for tracking multiple projectiles includes a first radar device aimed so that a field of view of the first radar device covers at least a portion of a target area into which projectiles are to be launched from a plurality of launch locations and a processor receiving data from the radar and identifying from the data tracks of a plurality of projectiles. The processor determines for each projectile track identified a specific one of the launch locations from which the projectile was launched and provides to the launch location associated with each projectile data corresponding to a trajectory of the projectile.

Abstract: A system for tracking the movement of an object includes a radar device having a first field of view. The radar device generates radar data indicating one of a range corresponding to a distance of a moving object within the first field of view from the radar device and a range rate corresponding to a rate at which the distance is changing relative to the radar device. The system also includes an imager having a second field of view at least partially overlapping the first field of view in an overlap field of view. The imager generates imager data measuring, when the object is in the second field of view, an angular position of the object relative to the imager in at least one dimension. In addition, the system includes a processor combining the radar data and imager data, when the object is in the overlap field of view, to identify a track of the object in at least two dimensions.

Abstract: A system includes a sensor capturing sensor data and an imager capturing imager data in combination with a computing device configured to time calibrate the sensor and the imager, detect an occurrence of a first event in the sensor data and extract a first time at which the first event occurred, and identify a first image in the image data having a capture time correlating to the first time at which the first event occurred in combination with retrieving the first image for insertion into a composite image including further image data combined with at least a portion of the first image depicting the first event.

Abstract: A system includes a sensor capturing sensor data and an imager capturing imager data in combination with a computing device configured to time calibrate the sensor and the imager, detect an occurrence of a first event in the sensor data and extract a first time at which the first event occurred, and identify a first image in the image data having a capture time correlating to the first time at which the first event occurred in combination with retrieving the first image for insertion into a composite image including further image data combined with at least a portion of the first image depicting the first event.

Abstract: A sports ball is configured to enhance detection of spin properties by radar. The ball includes a spherical body having a first reflectivity with respect to radiation generated by a radar to be used in detecting spin of the ball. In addition, the ball includes a plurality of markers. Each of the markers has a second reflectivity with respect to the radiation generated by a radar to be used in detecting spin of the ball. The second reflectivity is different from the first reflectivity. The markers are distributed on the ball so that every great circle extending around an exterior surface of the ball is within a distance d of a projection on the exterior surface of the ball of at least one of the markers. The distance d is less than a radius of the ball.

Abstract: A method includes generating an initial radar track using radar data and initial radar parameters and an initial camera track using image angular position data, initial camera parameters, and the radar range data in combination with calculating correction parameters to be applied to one of the radar data and the image data by comparing positions for the object from the initial radar track and the initial camera track, the first correction parameters being selected so that, when applied to the data from the other of the radar and the camera, to generate a first corrected track, a degree of correspondence between the first corrected track and the track of the other of the radar and camera is higher than a degree of correspondence between the initial radar track and the initial camera track.

Abstract: A method includes identifying a first point on an object striking element in a first image and a second image from images. The first and second images are captured within a predetermined time span of an impact of the object with the element and determining an impact time of the impact in combination with determining a position in the first and/or second images corresponding to a location of the object at the impact time. Based on the positions of the first point in the first and second images, determining a position in the first and/or second images corresponding to a position of the first point at the impact time. The method also includes determining a distance from the imager to a location at which the object and the element impact one another and determining an impact location of the object relative to the first point.

Abstract: A system for tracking an object includes a first tracking device aimed so that a first field of view of the first tracking device covers at least a portion of a target volume into which an object is to be launched from a launch location and a processor receiving data from the tracking device and identifying from the data the velocity of the object over time, the processor identifying, based on changes in the velocity of the object over time, a first portion of a path of the object during which the object was in one of a bouncing state and a sliding state.

Abstract: A sports ball is configured to enhance detection of spin properties by radar. The ball includes a spherical body having a first reflectivity with respect to radiation generated by a radar to be used in detecting spin of the ball. In addition, the ball includes a plurality of markers. Each of the markers has a second reflectivity with respect to the radiation generated by a radar to be used in detecting spin of the ball. The second reflectivity is different from the first reflectivity. The markers are distributed on the ball so that every great circle extending around an exterior surface of the ball is within a distance d of a projection on the exterior surface of the ball of at least one of the markers. The distance d is less than a radius of the ball.

Abstract: A system for tracking an object includes a first tracking device aimed so that a first field of view of the first tracking device covers at least a portion of a target volume into which an object is to be launched from a launch location and a processor receiving data from the tracking device and identifying from the data the velocity of the object over time, the processor identifying, based on changes in the velocity of the object over time, a first portion of a path of the object during which the object was in one of a bouncing state and a sliding state.

Abstract: A method includes generating an initial radar track using radar data and initial radar parameters and an initial camera track using image angular position data, initial camera parameters, and the radar range data in combination with calculating correction parameters to be applied to one of the radar data and the image data by comparing positions for the object from the initial radar track and the initial camera track, the first correction parameters being selected so that, when applied to the data from the other of the radar and the camera, to generate a first corrected track, a degree of correspondence between the first corrected track and the track of the other of the radar and camera is higher than a degree of correspondence between the initial radar track and the initial camera track.

Abstract: A method includes identifying a first point on an object striking element in a first image and a second image from images. The first and second images are captured within a predetermined time span of an impact of the object with the element and determining an impact time of the impact in combination with determining a position in the first and/or second images corresponding to a location of the object at the impact time. Based on the positions of the first point in the first and second images, determining a position in the first and/or second images corresponding to a position of the first point at the impact time. The method also includes determining a distance from the imager to a location at which the object and the element impact one another and determining an impact location of the object relative to the first point.

Abstract: A system and a method related for evaluation of sport ball data. The method includes calibrating a first coordinate system of a first camera to a second coordinate system of a baseball field; capturing, with the first camera, one or more images including a first batter; determining biometric characteristics of the first batter based on the one or more images and the calibration of the first camera to the baseball field; mapping the biometric characteristics of the first batter to an upper positional limit and a lower positional limit of a first strike zone for the first batter; and determining positional limits of the first strike zone in the second coordinate system.

Abstract: A method for determining golf shot characteristics includes detecting, in imaging data captured by an imager, a signature of a golf shot launched from a first launch area, a field of view of the imager including one of the first launch area and an area adjacent to the first launch area, and determining, from the imaging data, first golf shot characteristics, the first shot characteristics including a first launch location and a first launch time in combination with determining whether the first launch location and the first launch time correspond to a second launch location and a second launch time for second golf shot characteristics determined from sensor data captured by a further sensor arrangement and when no correspondence is found between the first and second launch locations and the first and second launch times, transmitting the first shot characteristics to a display at the first launch location.

Abstract: A system determining a spin axis of a ball includes a radar transmitting a signal into a target area. The radar includes a minimum of three receivers arranged so that two pairs of receivers are not co-linear. The system also includes a Processing Unit (“PU”) receiving data from the radar and determining a radar range of frequencies received at a point in time corresponding to differing velocities relative to the radar of different portions of the ball as the ball is spinning. PU divides the radar frequency range into a plurality of frequency components and calculating, for each of the frequency components, an angular position associated therewith. PU identifies as a projection of the spin axis in a plane perpendicular to a line of sight from the radar to the ball, a line perpendicular to a line represented by the determined angular positions.