A Theory for Multiresolution Signal Decomposition: The Wavelet Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Ten lectures on wavelets
Concrete Mathematics: A Foundation for Computer Science
Concrete Mathematics: A Foundation for Computer Science
Embedded image coding using zerotrees of wavelet coefficients
IEEE Transactions on Signal Processing
A new, fast, and efficient image codec based on set partitioning in hierarchical trees
IEEE Transactions on Circuits and Systems for Video Technology
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The wavelet compression method is one of the most effective techniques of digital image compression. Efficiency of this method strongly depends on the filters used in two-dimensional wavelet transform. The fundamental way of construction of finite impulse response filters was given by I. Daubechies. The paper contains foundations of technique for wavelet image compression and presents a new proof of the fact that the Daubechies filters satisfy the conditions of a perfect signal reconstruction.