# Construction of nonseparable multiwavelets for nonlinear image compression

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...

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Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_11108657_v2002_n1_p73_Ruedin |

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todo:paper_11108657_v2002_n1_p73_Ruedin2023-10-03T16:06:38Z Construction of nonseparable multiwavelets for nonlinear image compression Ruedin, A.M.C. Balanced Multiwavelets Nonseparable Polyphase Quincunx Algorithms Low pass filters Nonlinear filtering Wavelet transforms Nonlinear image compression Image compression 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. Fil:Ruedin, A.M.C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_11108657_v2002_n1_p73_Ruedin |

institution |
Universidad de Buenos Aires |

institution_str |
I-28 |

repository_str |
R-134 |

collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |

topic |
Balanced Multiwavelets Nonseparable Polyphase Quincunx Algorithms Low pass filters Nonlinear filtering Wavelet transforms Nonlinear image compression Image compression |

spellingShingle |
Balanced Multiwavelets Nonseparable Polyphase Quincunx Algorithms Low pass filters Nonlinear filtering Wavelet transforms Nonlinear image compression Image compression Ruedin, A.M.C. Construction of nonseparable multiwavelets for nonlinear image compression |

topic_facet |
Balanced Multiwavelets Nonseparable Polyphase Quincunx Algorithms Low pass filters Nonlinear filtering Wavelet transforms Nonlinear image compression Image compression |

description |
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. |

format |
JOUR |

author |
Ruedin, A.M.C. |

author_facet |
Ruedin, A.M.C. |

author_sort |
Ruedin, A.M.C. |

title |
Construction of nonseparable multiwavelets for nonlinear image compression |

title_short |
Construction of nonseparable multiwavelets for nonlinear image compression |

title_full |
Construction of nonseparable multiwavelets for nonlinear image compression |

title_fullStr |
Construction of nonseparable multiwavelets for nonlinear image compression |

title_full_unstemmed |
Construction of nonseparable multiwavelets for nonlinear image compression |

title_sort |
construction of nonseparable multiwavelets for nonlinear image compression |

url |
http://hdl.handle.net/20.500.12110/paper_11108657_v2002_n1_p73_Ruedin |

work_keys_str_mv |
AT ruedinamc constructionofnonseparablemultiwaveletsfornonlinearimagecompression |

_version_ |
1782023552279511040 |