In this paper, we propose a model for the interframe correspondences e
xisting between pixels of an image sequence. These correspondences for
m the elements of a held called the motion field, In our model, spatia
l neighborhoods of motion elements are related based on a generalizati
on of autoregressive (AR) modeling of time-series, We also propose a j
oint spatiotemporal model by including spatial neighborhoods of pixel
intensities in the motion model, A fundamental difference of our appro
ach with most previous approaches to modeling motion is in basing our
model on concepts from statistical signal processing, The developments
in this paper give rise to the promise of extending well-understood t
ools of signal processing (e.g., filtering) to the analysis and proces
sing of motion fields. Simulation results presented show the excellent
performance of our models in interframe prediction; specifically, on
average the motion model performs 29% better in terms of mean squared
error energy over a commonly used pel-recursive approach [1], The spat
iotemporal model improves prediction efficiencies by 8% over the motio
n model, Our model can also be used to obtain estimates of the optical
flow field as simulations will demonstrate.