Video coding with embedded motion

An apparatus, comprising:

• an encoder comprising a processor and a memory, the encoder adapted to:
• receive image data comprising a sequence of one or more image frames, wherein the one or more image frames include a first image frame and a second image frame;
• performing a spatial, temporal, or spatio-temporal transformation on the image data to generate a transformed first image frame and a transformed second image frame;
• identify a first atom that represents at least, in part, a first portion of the transformed first image frame;
• identify a second portion of the transformed second image frame that is represented at least by the first atom;
• determine a displacement between the first portion of the transformed first image frame and the second portion of the transformed second image frame;
• associate motion data with the first atom, wherein the motion data indicates the displacement;
• and
• generate a transmission bitstream using the first atom and the motion data,
• wherein the first portion includes two or more pixels of the image data,
• wherein the second portion includes two or more pixels of the transformed second image frame, and
• wherein the first atom is selected by the encoder from a dictionary of atoms.

An apparatus, comprising:

• a decoder comprising a processor and a memory, the decoder adapted to:
• receive a bitstream, the bitstream representing a transformed first image frame and a transformed second image frame in a sequence of image frames, the bitstream including coded motion data associated with a first coded atom, wherein the transformed first image frame and the transformed second image frame result from a spatial, temporal, or spatio-temporal transformation of a first original image frame and a second original image frame respectively;
• extract the first coded atom from the bitstream, the first coded atom representing a first portion of the transformed first image frame;
• extract the coded motion data from the bitstream, wherein the coded motion data indicates a displacement between the first portion of the transformed first image frame and a second portion of the transformed second image frame, wherein the first coded atom represents the second portion of the transformed second image frame;
• and
• generate the transformed first image frame and the transformed second image frame based on the first coded atom and the displacement,
• wherein the first coded atom represents two or more pixels of the transformed first image frame, and wherein the first coded atom is included in a dictionary of atoms.