  Video compression has been investigated by means of analysis-synthesis, and
more particularly by means of inpainting. The first part of our approach has
been to develop the inpainting of DCT coefficients in an image. This has shown
good results for image compression without overpassing todays compression
standards like JPEG. We then looked at integrating the same approach in a video
coder, and in particular in the widely used H264 AVC standard coder, but the
same approach can be used in the framework of HEVC. The originality of this
work consists in cancelling at the coder, then automatically restoring, at the
decoder, some well chosen DCT residual coefficients. For this purpose, we have
developed a restoration model of transformed coefficients. By using a total
variation based model, we derive conditions for the reconstruction of
transformed coefficients that have been suppressed or altered. The main purpose
here, in a video coding context, is to improve the ratedistortion performance
of existing coders. To this end DCT restoration is used as an additional
prediction step to the spatial prediction of the transformed coefficients,
based on an image regularization process. The method has been successfully
tested with the H.264 AVC video codec standard.
