Abstract: Systems and techniques for the optimized matched filter tracking of space objects are provided. In one aspect, a method of detecting faint objects includes receiving a plurality of telescope images from a telescope imaging system and performing a plurality of computational calculations on the telescope images using a plurality of search parameters to identify one or more objects moving through the telescope images. The number of the computational calculations is reduced by a priori relatively restricting a parameter space of the computational calculations.

Abstract: A mouthpiece according to the teachings of the present invention is shown as including a lens-like brace integrally formed in the outer upstanding portion of the elongated shell and positioned on the outer surface of the anterior teeth for reflecting any blow to the anterior teeth and reducing the shock to the teeth. The mouthpiece further includes a thickened connecting portion overlying the biting surface of the posterior teeth to help prevent concussion and to lessen the shock to the Tempro Mandibular Joint in the event of a blow to either the jaw or head. Indentations are formed in the thickened connecting portion opposite to the biting surfaces of the user's upper teeth having a size and shape complementary to and for receiving the user's lower teeth to form an occlusal index for positioning the user's lower teeth helping to eliminate the trauma of a blow to the side of the jaw.