Methods and apparatus for video encoders and decoders using compression sensing are provided. The encoding method includes encoding the image block in the image by reconstructing the image block, generating a measurement vector for the image block, encoding the measurement vector, minimizing signal sparseness of the image block in response to the encoded measurement vector, The measurement vector includes the transform coefficients associated with the image block (900). A corresponding decoding method decodes an image block for an image by receiving a measurement vector for the image block, decoding the measurement vector, minimizing signal sparseness of the image block in response to the decoded measurement vector, reconstructing the image block , The measurement vector includes a transform coefficient associated with the image block;
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