Abstract: A training and strengthening device for throwing sports that uses aerodynamic drag to create a velocity-dependent resistance force on an athlete's throwing or swinging hand substantially throughout the entire training motion. The resistance force produced on the device from aerodynamic drag can be used as a sensitive indicator of throwing or swinging efficacy. The device, which is portable, is wholly hand-held, untethered to any grounding surface, requires no one other than the athlete to use, and allows a fast-paced repetitive workout. An embodiment of the invention is designed to be close in weight to a regulation baseball and allows a throwing motion very similar to pitching a baseball. An embodiment of the element for producing aerodynamic resistive drag is comprised of a lightweight foam structure attached to a poly baseball via a flexible strap.

Abstract: The invention features a method for determining a geometric property of a test object, the method including: interferometrically profiling a first surface of the test object in a first coordinate system; interferometrically profiling a second surface of the test object in a second coordinate system different from the first coordinate system; providing a relationship between the first and second coordinate system; and calculating the geometric property based on the interferometrically profiled surfaces and the relationship between the first and second coordinate system. In some embodiments, the relationship may be determined by using calibrated gage blocks or by using a displacement measuring interferometer. Corresponding system are also described.

Abstract: The invention features a method for determining a geometric property of a test object, the method including: interferometrically profiling a first surface of the test object in a first coordinate system; interferometrically profiling a second surface of the test object in a second coordinate system different from the first coordinate system; providing a relationship between the first and second coordinate system; and calculating the geometric property based on the interferometrically profiled surfaces and the relationship between the first and second coordinate system. In some embodiments, the relationship may be determined by using calibrated gage blocks or by using a displacement measuring interferometer. Corresponding system are also described.

Abstract: Apparatus and means for calibrating optical gap-measuring instruments, including a preferred calibration standard (100) comprised of a substantially flat, transparent element (10) held in contact with the convex spherical surface (25) of a substantially opaque element (20) to provide an obvious and unambiguous region over which the gap is zero. The optical gap measuring tool that is to be calibrated is oriented so as to illuminate the interface. The calibration standard (100) is translated in position with respect the gap measuring tool in such a way as to vary the measured gap, while at the same time data storage means record the gap measurement as a function of relative position. This data is then compared to the predicted variation from the geometry of the calibration standard (100). Provided that the elements (10, 20) are of high optical quality, deviations of the measured data from an ideal parabolic curve are indicative of calibration errors.