2012
DOI: 10.1016/j.cag.2012.02.004
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Sparsity-based optimization of two lifting-based wavelet transforms for semi-regular mesh compression

Abstract: International audienceThis paper describes how to optimize two popular wavelet transforms for semi-regular meshes, using a lifting scheme. The objective is to adapt multiresolution analysis to the input mesh to improve its subsequent coding. Considering either the Butterfly- or the Loop-based lifting schemes, our algorithm finds at each resolution level an optimal prediction operator P such that it minimizes the L1 norm of the wavelet coefficients. The update operator U is then recomputed in order to take into… Show more

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Cited by 11 publications
(6 citation statements)
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References 31 publications
(44 reference statements)
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“…Akram et al [34] provided a significant gain in memory space by progressively encoding during the acquisition, a 3D scan-based WT for semi-regular multiresolution mesh and proposing a new method for searching more quickly neighbors of each triangle in the GOT. In 2012, Kammoun et al [35] adapted the multiresolution analysis to semi-regular meshes by optimizing the prediction in the lifting schemes based on Butterfly and Loop filters. In Ta ble II, we give a brief overview of the bitrates obtained by the principal algorithms and our observations.…”
Section: B Progressive Algorithmsmentioning
confidence: 99%
“…Akram et al [34] provided a significant gain in memory space by progressively encoding during the acquisition, a 3D scan-based WT for semi-regular multiresolution mesh and proposing a new method for searching more quickly neighbors of each triangle in the GOT. In 2012, Kammoun et al [35] adapted the multiresolution analysis to semi-regular meshes by optimizing the prediction in the lifting schemes based on Butterfly and Loop filters. In Ta ble II, we give a brief overview of the bitrates obtained by the principal algorithms and our observations.…”
Section: B Progressive Algorithmsmentioning
confidence: 99%
“…To improve the compression of normal meshes, Lavu et al [2003] locally optimized the quantization of the normal component based on values encoded previously in the neighborhood. Kammoun et al [2012] proposed optimizing the prediction scheme of lifting-based wavelet transforms (Butterfly and Loop). For each level of detail, the best parameters of the predictor are computed to minimize the set of detail coefficients.…”
Section: Wavelet For Semiregular Meshesmentioning
confidence: 99%
“…Under this framework, a given mesh is represented by a coarser mesh and a set of vectors, called Wavelet Coefficient Vectors (WCV), used for encoding the details. 3D wavelet analysis was used for various applications including filtering [16], mesh compression [17,18], subdivision [19], as well as information hiding [20,21,22,23,24,25]. A 3D wavelet-based watermarking algorithm was proposed by Kanai et al [20], which modifies the ratio between the norm of a WCV and the length of its support edge.…”
Section: Introductionmentioning
confidence: 99%