Oriented wavelet transform on a quincunx pyramid for image compression

This paper presents a new image coding technique based on oriented ID multiscale decompositions on a quincunx sampling grid. A transform obtained by adapting the lifting steps of a ID wavelet transform along a local orientation is described. A quad-tree structure is used to efficiently code the orientation map, and optimized in the rate-distortion sense. A gain of up to 1.3 dB over the separable wavelet transform is observed for a set of images, with the rate estimated from the stationary entropy of the subbands.