This paper presents a video resizing approach that provides both efficiency and temporal coherence. Prior approaches either sacrifice temporal coherence (resulting in jitter), or require expensive spatio-temporal optimization. By assessing the requirements for video resizing we observe a fundamental tradeoff between temporal coherence in the background and shape preservation for the moving objects. Understanding this tradeoff enables us to devise a novel approach that is efficient, because it warps each frame independently, yet can avoid introducing jitter. Like previous approaches, our method warps frames so that the background are distorted similarly to prior frames while avoiding distortion of the moving objects. However, our approach introduces a motion history map that propagates information about the moving objects between frames, allowing for graceful tradeoffs between temporal coherence in the background and shape preservation for the moving objects. The approach can handle...