US Patent 7688433 Inclination detection methods and apparatus

Apparatus and methods for detecting inclination employ a point source of light from which light is emitted through a lens toward a reflective surface of a liquid contained in a vessel. Light reflected from the surface passes through the lens to form a defocused image of the point source on a two-dimensional array of detector elements. Data acquired from the array represents intensity of the light incident on each of the detector elements. A center of gravity representing inclination of the vessel is determined from the data.