1. An encoding device comprising: circuitry configured to: designate a compatible image from a multi-viewpoint image; determine a first conversion mode of a first resolution of auxiliary images of the multi-viewpoint image; lower the first resolution of the auxiliary images based on the determined first conversion mode of the first resolution of the auxiliary images; multiplex the auxiliary images after lowering the first resolution; detect a disparity of the multi-viewpoint image; generate a parallax image of the compatible image based on the detected disparity; generate parallax images of the auxiliary images based on the detected disparity; determine a second conversion mode of a second resolution of the parallax images of the auxiliary images; lower the second resolution of the parallax images of the auxiliary images based on the determined second conversion mode of the second resolution of the parallax images of the auxiliary images; multiplex the parallax image of the compatible image and the parallax images of the auxiliary images after lowering the second resolution; encode the multiplexed parallax image of the compatible image and the parallax images of the auxiliary images after lowering the second resolution to generate a first encoded stream; encode the multiplexed auxiliary images after lowering the first resolution to generate a second encoded stream; and transmit the first encoded stream and the second encoded stream.