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 coordinating radar data and image data to track a flight of a projectile includes a radar, an imager, and a controller. The imager provides an image of an area into which a projectile is to be launched. The controller receives the image and an identification of a target within the image and identifies a target line connecting the target and a launch position of the projectile. The controller also receives data from the radar relative to at least a portion of a trajectory of the projectile, generates image based trajectory data by correlating the radar data and the image, and alters the image to include the image based trajectory data within the image and the target line within the image.

Abstract: A system and method for relating radar data to an image to track the flight of a path of a projectile includes a radar, an imager providing an image of an area into which a projectile is to be launched, a controller receiving the image and data from the radar relative to at least a portion of a trajectory of the projectile, the controller generating trajectory data by correlating the radar data and the image to determine the portion of the trajectory relative to at least one feature in the image, and a display displaying the trajectory data.

Abstract: A system for illustrating the flight of a sports ball includes a radar, an imager, and a controller. The imager is configured to image a moving sports ball. The controller is configured to (i) receive, from the imager, an image including the moving sports ball, (ii) receive, from the radar, radar data associated with the moving sports ball, (iii) determine, from the radar data, a portion of a trajectory of the moving sports ball, (iv) alter the image to illustrate the portion of the trajectory relative to the moving sports ball, and (v) output the altered image.

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 includes a radar configured to capture radar data of a non-spherical object. The system also includes a processor configured to detect, in the radar data, oscillations corresponding to rotation of the object about an axis that is not an axis of symmetry of the object and determine a frequency of the rotation of the object about the axis based on the detected oscillations.

Abstract: A method of determining spin parameters of a sports ball, such as spin axis and rotation velocity of a golf ball. The spin axis is determined solely from the trajectory of the flying ball, and the rotational velocity is determined from a frequency analysis of a signal provided by a radar, which signal comprises spectrum traces positioned equidistantly in frequency, which frequency distance relates to the spin velocity.

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 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 illustrating the flight of a sports ball includes a radar, an imager, and a controller. The imager is configured to image a moving sports ball. The controller is configured to (i) receive, from the imager, an image including the moving sports ball, (ii) receive, from the radar, radar data associated with the moving sports ball, (iii) determine, from the radar data, a portion of a trajectory of the moving sports ball, (iv) alter the image to illustrate the portion of the trajectory relative to the moving sports ball, and (v) output the altered image.

Abstract: A system for coordinating radar data and image data to track a flight of a projectile includes a radar, an imager, and a controller. The imager provides an image of an area into which a projectile is to be launched. The controller receives the image and an identification of a target within the image and identifies a target line connecting the target and a launch position of the projectile. The controller also receives data from the radar relative to at least a portion of a trajectory of the projectile, generates image based trajectory data by correlating the radar data and the image, and alters the image to include the image based trajectory data within the image and the target line within the image.

Abstract: A system for illustrating the flight of a sports ball includes a radar, an imager, and a controller. The imager is configured to image a moving sports ball. The controller is configured to (i) receive, from the imager, an image including the moving sports ball, (ii) receive, from the radar, radar data associated with the moving sports ball, (iii) determine, from the radar data, a portion of a trajectory of the moving sports ball, (iv) alter the image to illustrate the portion of the trajectory relative to the moving sports ball, and (v) output the altered image.

Abstract: A system for coordinating radar data and image data to track a flight of a projectile includes a radar, an imager, and a controller. The imager provides an image of an area into which a projectile is to be launched. The controller receives the image and an identification of a target within the image and identifies a target line connecting the target and a launch position of the projectile. The controller also receives data from the radar relative to at least a portion of a trajectory of the projectile, generates image based trajectory data by correlating the radar data and the image, and alters the image to include the image based trajectory data within the image and the target line within the image.

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 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 sensor for determining a direction-of-arrival of radiation impingent on the sensor which has antennas positioned in a particular set-up different from a rectangle, so that information may be derived between two pairs of the antennas, positioned in corners of a rectangular grid and additional information may be derived from an additional antenna, combined with one of the “grid” antennas forming a third pair of antennas. The additional antenna is positioned away from the corners and other pre-defined lines of the rectangle/grid. In this manner, such as from phase differences between the pairs of antennas, more information may be derived compared to antennas positioned merely at the corners of a rectangle to remove ambiguous angles of direction-of-arrival without compromising accuracy of an angular determination.

Abstract: In a method of determining a deviation of a path of a projectile from a predetermined path, the method uses an image of a target area in which the desired path or direction is pointed out. Subsequently, the real direction or real path is determined and the deviation is determined.

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 illustrating the flight of a sports ball includes a radar, an imager, and a controller. The imager is configured to image a moving sports ball. The controller is configured to (i) receive, from the imager, an image including the moving sports ball, (ii) receive, from the radar, radar data associated with the moving sports ball, (iii) determine, from the radar data, a portion of a trajectory of the moving sports ball, (iv) alter the image to illustrate the portion of the trajectory relative to the moving sports ball, and (v) output the altered image.