Estimation of image motion through mathematical modeling

摘要

Abstract: A computational model for estimation of image motion from a sequence of images obtained by an imaging sensor is developed through mathematical modeling. The paper is divided into three parts which describe the evolution of the model of image motion. An ideal model of image motion is developed in the first part. The model is unsolvable because some parameters and boundary condition are unknown. Hence, a reformulated model of image motion is derived in the second part. Although this model is solvable, it is ill-posed mainly due to the differentiation of noise- contaminated image irradiance function. The consequence of this is that the solution estimated by this model is unstable. Thus, the reformulated model is remedied and transformed into a realistic model of image motion which is discussed in the third part. The results from simulations demonstrate that this realistic model of image motion gives correct and reliable estimation.!7