An apparatus for generating a video stream, comprising: - a communication interface for receiving: one or more images of a first input sequence of images representative of a first view of an input stereoscopic stream; one or more images of a second input sequence of images, each one corresponding to a respective image of said first input sequence, the images of said second input sequence being representative of a second view of said input stereoscopic stream; one or more depth or disparity maps which allow, starting from one or more images of said first input sequence, to substantially rebuild corresponding images of said second input sequence; one or more depth or disparity maps which allow, starting from one or more images of said second input sequence, to substantially rebuild corresponding images of said first input sequence; - a processing unit associated with said communication interface and configured for: selecting a first image of said first input sequence; selecting a first depth or disparity map, so that a first image of said second input sequence can be substantially rebuilt by combining the first image of said first input sequence with said first map; selecting a second image of said second input sequence; selecting a second depth or disparity map, so that a second image of said first input sequence can be substantially rebuilt by combining the second image of said second input sequence with said second map; outputting a coded video stream comprising at least the first image of said first input sequence, the first map, the second image of said second input sequence and the second map, wherein said coded video stream does not comprise the first image of said second input sequence and the second image of said first input sequence. - a communication interface for receiving: one or more images of a first input sequence of images representative of a first view of an input stereoscopic stream; one or more images of a second input sequence of images, each one corresponding to a respective image of said first input sequence, the images of said second input sequence being representative of a second view of said input stereoscopic stream; one or more depth or disparity maps which allow, starting from one or more images of said first input sequence, to substantially rebuild corresponding images of said second input sequence; one or more depth or disparity maps which allow, starting from one or more images of said second input sequence, to substantially rebuild corresponding images of said first input sequence; - a processing unit associated with said communication interface and configured for: selecting a first image of said first input sequence; selecting a first depth or disparity map, so that a first image of said second input sequence can be substantially rebuilt by combining the first image of said first input sequence with said first map; selecting a second image of said second input sequence; selecting a second depth or disparity map, so that a second image of said first input sequence can be substantially rebuilt by combining the second image of said second input sequence with said second map; outputting a coded video stream comprising at least the first image of said first input sequence, the first map, the second image of said second input sequence and the second map, wherein said coded video stream does not comprise the first image of said second input sequence and the second image of said first input sequence. selecting a first image of said first input sequence; selecting a first depth or disparity map, so that a first image of said second input sequence can be substantially rebuilt by combining the first image of said first input sequence with said first map; selecting a second image of said second input sequence; selecting a second depth or disparity map, so that a second image of said first input sequence can be substantially rebuilt by combining the second image of said second input sequence with said second map; outputting a coded video stream comprising at least the first image of said first input sequence, the first map, the second image of said second input sequence and the second map, wherein said coded video stream does not comprise the first image of said second input sequence and the second image of said first input sequence.