Uytterhoeven, G. and Bultheel, A. (1997) The red-black wavelet transform. Technical Report TW 271, Department of Computer Science, Katholieke Universiteit Leuven, Belgium. Home/Search Document Details and Download
Summary Related Articles Check |
This paper is cited in the following contexts:
A toolbox for the lifting scheme on quincunx grids (LISQ) - de Zeeuw (2002) (Correct)
....grids. An early example of quincunx downsampling and upsampling (in multigrid context) can be found in [2] Early examples of quincunx downsampling in connection with 2 channel multidimensional filter banks can be found in [13, 14] The lifting scheme has been invented by Sweldens [10, 11] In [6, 15, 16, 17] the lifting scheme is used with quincunx downsampling to develop non separable wavelets on a rectangular grid. An educational and introductory approach to the lifting scheme (in 1D) can be found in [5] LISQ can do the following for you. This toolbox performs the wavelet decomposition of a ....
....(downsampling) of discrete di#erential operators. Also in multigrid context, the ordering is used in the so called red black relaxation because of its decoupling properties in the case of standard five point discretization. The lifting scheme As extensive literature exists on this topic, e.g. [1, 5, 6, 10, 11, 12, 15, 16, 17]) we confine ourselves to a basic recapitulation. We consider a n dimensional signal s j j )as a function s j : S j R where S n , n N. We transform s j 1 into a coarser, approximating, signal s j 1 and a detail signal d j 1 such that S j 1 # S j (downsampling) and S j = S j 1 D j 1 , ....
[Article contains additional citation context not shown here]
G. Uytterhoeven and A. Bultheel, The red-black wavelet transform, Proceedings of IEEE Benelux Signal Processing Symposium, March 1998 (pp. 191--194).
An Image Retrieval System Based on Adaptive Wavelet Lifting - Oonincx, de Zeeuw (2002) (1 citation) (Correct)
.... N V # V # V # V # V # V # V # 2 #=# 000000 4 ##=## ##=## 00000 6 ##=# 000 8 ####=# #####=# ##=# Table 1: Quincunx Neville filter coefficients The algorithm using the quincunx lattice is also known as the red black wavelet transform by Uytterhoeven and Bultheel, see [20]. In general # can be written as #n; m#x#i # n; j #m#; i mod # ## j mod #; 2.3) with S # # a subset of ##n; m# # ## # #n # m# mod # # ## and a # # #s#; s # S # # , a set of coefficients in IR. In this case a general formula for # reads # ######## a# #n; m#x#i # n; j #m#=#; i mod # # j ....
G. Uytterhoeven and A. Bultheel, "The red-black wavelet transform", TW Report 271, Dept. Comp. Sc., Katholieke Universiteit Leuven, Leuven, 1997.
Wavelets: Software And Applications - Uytterhoever (1999) (3 citations) Self-citation (Uytterhoeven Bultheel) (Correct)
....Later voegden we ondersteuning toe voor zeer grote beelden en blokgebaseerde verwerking [55] We construeerden een nieuw soort tweede generatie wavelets op een rechthoekig rooster, gebaseerd op een rood zwart blokschema. Deze rood zwart wavelets zijn minder anisotroop dan tensorproduct wavelets [52]. We reduceerden de complexiteit van de orthogonale eigenontbinding (POD) m.b.v. biorthogonale wavelet packet compressie en evalueerden de resulterende benaderende POD door de analyse van een grootschalig dynamisch systeem, beschreven door partiele differentiaalvergelijkingen [53] 1.2 Een ....
....on two dimensional images [56] Later we added support for very large images and block based processing [55] We created a new kind of second generation wavelets on a rectangular grid, based on a red black blocking scheme. These Red Black wavelets are less anisotropic than tensor product wavelets [52]. We reduced the complexity of the Proper Orthogonal Decomposition (POD) by biorthogonal wavelet packet compression and evaluated the resulting Approximate POD by analyzing a large scale dynamical system, described by partial differential equations [53] 1.2 Overview of the Thesis In Chapter 2 ....
[Article contains additional citation context not shown here]
G. Uytterhoeven and A. Bultheel. The Red-Black wavelet transform. In Proceedings of the IEEE Benelux Signal Processing Symposium, Leuven, Belgium, pages 191--194, March 1998. BIBLIOGRAPHY 127
Wavelets: Software and Applications [Ph.D. Thesis]: Bibliography - Uytterhoeven (1999) Self-citation (Uytterhoeven) (Correct)
No context found.
G. Uytterhoeven and A. Bultheel. The Red-Black wavelet transform. In Proceedings of the IEEE Benelux Signal Processing Symposium, Leuven, Belgium, pages 191--194, March 1998. BIBLIOGRAPHY 127
Multivariate Nonparametric Regression Using Lifting - Jansen, Nason, Silverman (2004) (Correct)
No context found.
Uytterhoeven, G. and Bultheel, A. (1997) The red-black wavelet transform. Technical Report TW 271, Department of Computer Science, Katholieke Universiteit Leuven, Belgium.
Image Compression by Rectangular Wavelet Transform - Zavadsky (2004) (Correct)
No context found.
G. Uytterhoeven and A. Bultheel. The red-black wavelet transform. Technical Report 271, 1997.
Online articles have much greater impact More about CiteSeer.IST Add search form to your site Submit documents Feedback
CiteSeer.IST - Copyright Penn State and NEC