Affiliations: Institute of Computer Science, Technical University of Bialystok, Bialystok, Poland. email: [email protected] | Institute of Mathematics and Physics, Technical University of Bialystok, Bialystok, Poland email: [email protected]
Note: [] Address for correspondence: Institute of Computer Science, Technical University of Bialystok, Wiejska 45A, 15-351 Bialystok, Poland
Note: [] Institute of Mathematics and Physics, Technical University of Bialystok, Bialystok, Poland
Abstract: 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.
