Time-Scale Dependencies for Image Compression

The definition of an atomic representation of the wavelet transform of a signal allows us to write the evolution law through scales for modulus maxima of the transform. Although this result is very general and useful for various fields of image processing, we focus on its application to signal and image compression. We propose a simple trick for taking advantage from the law without directly solving its corresponding partial differential equation. Preliminary experimental results show that the proposed approach outperforms available compression techniques.