Abstract: The invention can be used in a wide range of fields including space applications, for observing, measuring and surveying the earth surface with satellites, civilian and military aeronautics, for x-ray images and security applications, as well as in general industrial image processing and image generation applications. The invention uses the advantages of the wavelet transformation, a mathematical mapping between spaces, and in particular the advantages of interpolating wavelets, to improve the transmission of endless, continually growing, non-bordered images using a small amount of memory. The invented procedure and the proposed implementation of the procedure describe a complete wavelet transformation system which is used as a decorrelating transformation for digital or digitized input data. The invention also covers an inverse wavelet transformation system for reverting the wavelet transformation system operations.