A method and apparatus for estimating the motion of an image region (the “center” region) from a source video frame to a target video frame. The motion estimation is locally constrained in that the estimated motion of the “center region” is affected by the estimated motion of neighboring regions. Advantageously, this may reduce common motion matching problems such as false and ambiguous matches. In one embodiment, the locally-constrained motion estimation may be implemented by biasing an error map of the center region using error maps of the neighboring regions.