Spatiotemporal Motion Boundary Detection and Motion Boundary Velocity Estimation for Tracking Moving ObjectsWith a Moving Camera: A Level Sets PDEs Approach With Concurrent Camera Motion Compensation

The purpose of this study is to investigate a method of tracking moving objects with a moving camera. This method estimates simultaneously the motion induced by camera movement. The problem is formulated as a Bayesian motion-based partitioning problem in the spatiotemporal domain of the image sequence. An energy functional is derived from the Bayesian formulation. The Euler–Lagrange descent equations determine simultaneously an estimate of the image motion field induced by camera motion and an estimate of the spatiotemporal motion boundary surface. The Euler–Lagrange equation corresponding to the surface is expressed as a level-set partial differential equation for topology independence and numerically stable implementation. The method can be initialized simply and can track multiple objects with nonsimultaneous motions. Velocities on motion boundaries can be estimated from geometrical properties of the motion boundary. Several examples of experimental verification are given using synthetic and real-image sequences.