Generalized spatial filtering velocimetry and accelerometry for uniform and nonuniform objects

We present a technique to measure velocity, acceleration, and higher order derivatives of motion using periodic and nonperiodic spatial filters. The technique can be applied using a single detector or an array of detectors. In one configuration, the velocity distribution of an object such as a fluid can be measured by imaging the object onto an array of detectors. In another configuration, multiple projections of an object are used to reconstruct a cross-sectional velocity distribution using a tomography algorithm. The advantages and disadvantages of our technique applied to uniform and spatially varying motions are described.