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As more and more people want to communicate with each other vividly, video encoder application will be very popular on mobile devices. But it is also a resource-killer application. Meanwhile the mobile devices are powered by battery, and energy resource is very important for mobile devices. So when using this application on mobile devices, we must consider energy conserving. The computation offloading method is to offload some computations of application from mobile device to powerful server around mobile device via wireless network. So it can relieve the resource constraint and save energy. In this paper, we use the computation offloading method to H.264 video encoder on mobile device and propose three offloading schemes. Then we apply them to encode different video sequences. Finally, we analyze the efficiency of offloading schemes with different encoder parameters and different video sequences.