### Citations

3534 | A theory of multiresolution signal decomposition: The wavelet representation
- Mallat
- 1989
(Show Context)
Citation Context ...ion representation of signals and enables decorrelation in space and frequency. Through its regularity and decorrelation properties, wavelets are powerful and adapted tool to data compression. Mallat =-=[1]-=- develops a pyramidal wavelet transform using of a numerical filter bank. Since last decades, many works proposed some filter constructions. The most popular of them is the Daubechies (9,7) filter ban... |

879 |
Image coding using wavelet transform”.
- Antonini, laud, et al.
- 1992
(Show Context)
Citation Context ...e last decades, many works proposed some filter constructions. The most popular of them is the Daubechies (9,7) filter bank. Its success is due to its nice regularity and energy compaction properties =-=[2]-=-. To generalize the concept of filter bank, work had started on the definition of multidimensional filter banks, and particularly nonseparable two-dimensional filter banks. The construction of Siohan ... |

584 | Factoring wavelet transforms into lifting step.
- Daubechies, Sweldens
- 1998
(Show Context)
Citation Context ...hese methods are providing direct filter bank design algorithms. Sweldens introduced the lifting scheme as an efficient and powerful tool to compute wavelet transform [11], [12]. Daubechies showed in =-=[13]-=- how to factorize 1D biorthogonal wavelet filter bank in lifting scheme. In [14], we showed how to obtain quincunx lifting filters from 1D lifting filters. The idea of building A. Gouze, M. Antonini a... |

389 | Multiresolution Analysis For Surfaces Of Arbitrary Topological Type
- Lounsbery, DeRose, et al.
- 1997
(Show Context)
Citation Context ...a Neuve. March 16, 2004 DRAFT 1swavelets without using of Fourier transform appeared before lifting. Indeed, the lifting scheme is both inspired by the work of Donoho [15] and by the one of Lounsbery =-=[16]-=- concerning the transform on meshes. In their work [17], Sweldens and Schröder designed 1D lifting operators by integrating primal and dual lifting steps into a basic lifting scheme (for more details,... |

152 | Interpolating Wavelet Transforms.
- Donoho
- 1992
(Show Context)
Citation Context ...niversité Catholique de Louvain la Neuve. March 16, 2004 DRAFT 1swavelets without using of Fourier transform appeared before lifting. Indeed, the lifting scheme is both inspired by the work of Donoho =-=[15]-=- and by the one of Lounsbery [16] concerning the transform on meshes. In their work [17], Sweldens and Schröder designed 1D lifting operators by integrating primal and dual lifting steps into a basic ... |

150 | Building your own wavelets at home
- Sweldens, Schröder
- 1996
(Show Context)
Citation Context ...of Fourier transform appeared before lifting. Indeed, the lifting scheme is both inspired by the work of Donoho [15] and by the one of Lounsbery [16] concerning the transform on meshes. In their work =-=[17]-=-, Sweldens and Schröder designed 1D lifting operators by integrating primal and dual lifting steps into a basic lifting scheme (for more details, see paragraph II-A or [17]). For example, a lifting st... |

27 |
The construction and application of wavelets in numerical analysis
- Sweldens
- 1994
(Show Context)
Citation Context ...or the McClellan transform. All these methods are providing direct filter bank design algorithms. Sweldens introduced the lifting scheme as an efficient and powerful tool to compute wavelet transform =-=[11]-=-, [12]. Daubechies showed in [13] how to factorize 1D biorthogonal wavelet filter bank in lifting scheme. In [14], we showed how to obtain quincunx lifting filters from 1D lifting filters. The idea of... |

11 |
Biotrhogonal filterbanks and energy preservation property in image compression
- Martin, Siohan, et al.
- 1999
(Show Context)
Citation Context ...dimensional filter banks, and particularly nonseparable two-dimensional filter banks. The construction of Siohan is based on the definition of 2D half-band filters [3]. That of Moreau de Saint Martin =-=[4]-=- uses the Gröbner bases. Constructions of Ansari, Guillemot, Kim [5], [6], Antonini, Barlaud [2], [7], [8], Kovasevi ¢ ¡ and Vetterli [9], [10] use 1D-2D extension transforms, ¡ such as the rotational... |

11 |
lifting scheme: A construction of second generation wavelets
- “The
- 1997
(Show Context)
Citation Context ... McClellan transform. All these methods are providing direct filter bank design algorithms. Sweldens introduced the lifting scheme as an efficient and powerful tool to compute wavelet transform [11], =-=[12]-=-. Daubechies showed in [13] how to factorize 1D biorthogonal wavelet filter bank in lifting scheme. In [14], we showed how to obtain quincunx lifting filters from 1D lifting filters. The idea of build... |

7 |
Exact reconstruction filter banks using diamond FIR filters
- Ansari, Guillemot
- 1990
(Show Context)
Citation Context ...nal filter banks. The construction of Siohan is based on the definition of 2D half-band filters [3]. That of Moreau de Saint Martin [4] uses the Gröbner bases. Constructions of Ansari, Guillemot, Kim =-=[5]-=-, [6], Antonini, Barlaud [2], [7], [8], Kovasevi ¢ ¡ and Vetterli [9], [10] use 1D-2D extension transforms, ¡ such as the rotational transform or the McClellan transform. All these methods are providi... |

4 |
Subband decomposition procedure for quincunx sampling grids
- Kim, Ansari
- 1991
(Show Context)
Citation Context ...ilter banks. The construction of Siohan is based on the definition of 2D half-band filters [3]. That of Moreau de Saint Martin [4] uses the Gröbner bases. Constructions of Ansari, Guillemot, Kim [5], =-=[6]-=-, Antonini, Barlaud [2], [7], [8], Kovasevi ¢ ¡ and Vetterli [9], [10] use 1D-2D extension transforms, ¡ such as the rotational transform or the McClellan transform. All these methods are providing di... |

3 | Design of two-dimensional nonseparable qmf banks,” - Siohan, Ouvrard - 1992 |

3 |
Quincunx lifting scheme for image compression
- Gouze, Antonini, et al.
- 2000
(Show Context)
Citation Context ...uced the lifting scheme as an efficient and powerful tool to compute wavelet transform [11], [12]. Daubechies showed in [13] how to factorize 1D biorthogonal wavelet filter bank in lifting scheme. In =-=[14]-=-, we showed how to obtain quincunx lifting filters from 1D lifting filters. The idea of building A. Gouze, M. Antonini and M. Barlaud are with the Université de Nice Sophia Antipolis and the CNRS. A. ... |

1 |
Pyramidal lattice vector quantifization for mutiscale image coding
- Barlaud, Solé, et al.
- 1994
(Show Context)
Citation Context ...Siohan is based on the definition of 2D half-band filters [3]. That of Moreau de Saint Martin [4] uses the Gröbner bases. Constructions of Ansari, Guillemot, Kim [5], [6], Antonini, Barlaud [2], [7], =-=[8]-=-, Kovasevi ¢ ¡ and Vetterli [9], [10] use 1D-2D extension transforms, ¡ such as the rotational transform or the McClellan transform. All these methods are providing direct filter bank design algorithm... |

1 |
Non-separable multidimensional perfect reconstruction filter banks and wavelets bases for
- evi�
- 1992
(Show Context)
Citation Context ...on of 2D half-band filters [3]. That of Moreau de Saint Martin [4] uses the Gröbner bases. Constructions of Ansari, Guillemot, Kim [5], [6], Antonini, Barlaud [2], [7], [8], Kovasevi ¢ ¡ and Vetterli =-=[9]-=-, [10] use 1D-2D extension transforms, ¡ such as the rotational transform or the McClellan transform. All these methods are providing direct filter bank design algorithms. Sweldens introduced the lift... |