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Abstract:

A procedure for the construction of balanced orthogonal nonseparable quincunx multiwavelets, having filters with good lowpass properties, is introduced. The matrix filter bank is viewed as the polyphase matrix of other filters, upon which the lowpass condition is imposed. The multiscaling functions obtained are plotted by means of the cascade algorithm. The process of transforming an image with these wavelets is outlined: formulae for analysis and synthesis are given, the first steps are illustrated with images, and the decomposition of the original image into two input images is addressed. Compression is achieved in a nonlinear process. Experimental results show that (i) the constructed multiwavelets having lowpass properties perform better than other nonseparable multiwavelets, (ii) the energy compaction in the fine detail subbands is greater for the multiwavelets than for the one-dimensional wavelets tried.

Registro:

Documento: Artículo
Título:Construction of nonseparable multiwavelets for nonlinear image compression
Autor:Ruedin, A.M.C.
Filiación:Departamento de Computación, Fac. de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires, Argentina
Palabras clave:Balanced; Multiwavelets; Nonseparable; Polyphase; Quincunx; Algorithms; Low pass filters; Nonlinear filtering; Wavelet transforms; Nonlinear image compression; Image compression
Año:2002
Volumen:2002
Número:1
Página de inicio:73
Página de fin:79
DOI: http://dx.doi.org/10.1155/S1110865702000410
Título revista:Eurasip Journal on Applied Signal Processing
Título revista abreviado:Eurasip J. Appl. Sign. Process.
ISSN:11108657
PDF:https://bibliotecadigital.exactas.uba.ar/download/paper/paper_11108657_v2002_n1_p73_Ruedin.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11108657_v2002_n1_p73_Ruedin

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Citas:

---------- APA ----------
(2002) . Construction of nonseparable multiwavelets for nonlinear image compression. Eurasip Journal on Applied Signal Processing, 2002(1), 73-79.
http://dx.doi.org/10.1155/S1110865702000410
---------- CHICAGO ----------
Ruedin, A.M.C. "Construction of nonseparable multiwavelets for nonlinear image compression" . Eurasip Journal on Applied Signal Processing 2002, no. 1 (2002) : 73-79.
http://dx.doi.org/10.1155/S1110865702000410
---------- MLA ----------
Ruedin, A.M.C. "Construction of nonseparable multiwavelets for nonlinear image compression" . Eurasip Journal on Applied Signal Processing, vol. 2002, no. 1, 2002, pp. 73-79.
http://dx.doi.org/10.1155/S1110865702000410
---------- VANCOUVER ----------
Ruedin, A.M.C. Construction of nonseparable multiwavelets for nonlinear image compression. Eurasip J. Appl. Sign. Process. 2002;2002(1):73-79.
http://dx.doi.org/10.1155/S1110865702000410