An optimal control approach to the optical flow problem

作者：Barbu Viorel^*; Marinoschi Gabriela

来源：Systems & Control Letters, 2016, 87: 1-9.

DOI：10.1016/j.sysconle.2015.10.004

• Optical flow
• Gaussian process
• Stochastic differential equations
• Optimal control

The optical flow problem is reduced to an optimal control problem governed by a linear parabolic equation having the unknown velocity field (the optical flow) as drift term. This model is derived from a new assumption, that is, the brightness intensity is conserved on a moving pattern driven by a Gaussian stochastic process. The optimality conditions are deduced by a passage to the limit technique in an approximating optimal control problem introduced for a regularization purpose. Finally, the controller uniqueness is addressed.

• 出版日期2016-1