Abstract: A display system may comprise a radially symmetric mirror, a display screen, and a radial array of lenticular lenses. The mirror may be a frustum of a cone. Light from the screen may pass through the radial array and then reflect from the mirror, to create a 360-degree automultiscopic display. The automultiscopic display may display multiple rendered views of a 3D scene, each of which shows the scene from a different virtual camera angle. Which rendered view is visible may depend on the angular position of a user. Each lenticular lens may be wedge-shaped and may have a constant focal length and a constant height-width ratio. In some cases, slices from some, but not all, of the rendered views are displayed under any single lenticular lens at a given time. The lenticular array may be replaced by a holographic optical element, or by radial array of parallax barriers.

Abstract: A display system may comprise a radially symmetric mirror, a display screen, and a radial array of lenticular lenses. The mirror may be a frustum of a cone. Light from the screen may pass through the radial array and then reflect from the mirror, to create a 360-degree automultiscopic display. The automultiscopic display may display multiple rendered views of a 3D scene, each of which shows the scene from a different virtual camera angle. Which rendered view is visible may depend on the angular position of a user. Each lenticular lens may be wedge-shaped and may have a constant focal length and a constant height-width ratio. In some cases, slices from some, but not all, of the rendered views are displayed under any single lenticular lens at a given time. The lenticular array may be replaced by a holographic optical element, or by radial array of parallax barriers.

Abstract: In exemplary implementations of this invention, a basketball net or flat net measures the translational kinetic energy of a ball that passes through an aperture in the net or impacts the net. The net includes one or more electrically conductive cords, which have a resistance that varies depending on the degree to which the cord is stretched. From sensor measurements, a processor determines: (a) instantaneous rate of change of resistance, and (b) duration of a time period that begins when resistance exceeds a baseline (with hysteresis). In the case of a basketball net, a processor may calculate the translational kinetic energy of the ball as equal to a sum of two terms. The first term is inversely proportional to the square of the duration; the second is proportional to the square of the integral of the instantaneous rate of change of resistance over the time period.

Abstract: In exemplary implementations of this invention, a basketball net or flat net measures the translational kinetic energy of a ball that passes through an aperture in the net or impacts the net. The net includes one or more electrically conductive cords, which have a resistance that varies depending on the degree to which the cord is stretched. From sensor measurements, a processor determines: (a) instantaneous rate of change of resistance, and (b) duration of a time period that begins when resistance exceeds a baseline (with hysteresis). In the case of a basketball net, a processor may calculate the translational kinetic energy of the ball as equal to a sum of two terms. The first term is inversely proportional to the square of the duration; the second is proportional to the square of the integral of the instantaneous rate of change of resistance over the time period.

Abstract: In exemplary implementations of this invention, a basketball net or flat net measures the translational kinetic energy of a ball that passes through an aperture in the net or impacts the net. The net includes one or more electrically conductive cords, which have a resistance that varies depending on the degree to which the cord is stretched. From sensor measurements, a processor determines: (a) instantaneous rate of change of resistance, and (b) duration of a time period that begins when resistance exceeds a baseline (with hysteresis). In the case of a basketball net, a processor may calculate the translational kinetic energy of the ball as equal to a sum of two terms. The first term is inversely proportional to the square of the duration; the second is proportional to the square of the integral of the instantaneous rate of change of resistance over the time period.

Abstract: In exemplary implementations of this invention, a basketball net or flat net measures the translational kinetic energy of a ball that passes through an aperture in the net or impacts the net. The net includes one or more electrically conductive cords, which have a resistance that varies depending on the degree to which the cord is stretched. From sensor measurements, a processor determines: (a) instantaneous rate of change of resistance, and (b) duration of a time period that begins when resistance exceeds a baseline (with hysteresis). In the case of a basketball net, a processor may calculate the translational kinetic energy of the ball as equal to a sum of two terms. The first term is inversely proportional to the square of the duration; the second is proportional to the square of the integral of the instantaneous rate of change of resistance over the time period.