We have a movie (which is a sequence of frames) of the motion of a particle. This particle could be any moving biological particles, as fluorescent particles, bacteria or etc. Because of the imperfections of the measurement equipment, the detected location for the particle is corrupted by noise. Now, using this movie, we would like to estimate the real path of the particle. The goal is to implement a MATLAB code that takes the noisy movie and gives the denoised version.
We assume that the motion of the particle is a Levy process (as a special case, a Brownian motion). Also, the measurement noise is assumed to be Additive White Gaussian Noise.
As an extra step, we can suppose situations in which there are more than 1 particle in the movie and try to track them.