Analytical and simulated signal prediction for a collimated point sensor using a surface emission model

Simulation of IR measurements from an arbitrary emitting body is complicated by the fact that measured energy is emitted only from the object´s surface. A two-dimensional model of collimated measurements is derived and compared to an unusual signal estimation algorithm based on a sorting procedure. Mathematical development yields a two-dimensional analytical expression providing the response of a collimated omnidirectional point sensor to a general straight-line emitter in an attenuating medium with a constant attenuation coefficient. The analytical response has been used to predict sensor responses to various synthetic images representing idealized cross-sections of intruding heated material. Agreement between analytical predictions and simulations from synthetic images is very good