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首页> 外文期刊>IEEE transactions on visualization and computer graphics >Biorthogonal Wavelet Transforms and Applications Based on Generalized Progressive Catmull-Clark Subdivision with Shape Control
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Biorthogonal Wavelet Transforms and Applications Based on Generalized Progressive Catmull-Clark Subdivision with Shape Control

机译：基于广义渐进式Catmull-Clark细分的双正交小波变换和应用

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摘要

In recent years, some biorthogonal Catmull-Clark subdivision wavelet transforms constructed via the lifting scheme have been proposed to speed up processing of geometric models. Thanks to the idea of progressive interpolation, the compression qualities and noise-filtering effects have been improved significantly. However, the reconstruction precision fails to be improved further because many model details are removed and the noise-filtering performance decreases greatly while the noise intensity increases gradually. To deal with this dilemma, a unified Catmull-Clark subdivision based biorthogonal wavelet construction with shape control parameters is presented to process 3D models with sharp-feature constraints. By customizing its local orthogonalizing coefficients for different vertex valences of quadrilateral patches, the novel scheme can greatly strengthen the capability of the model's shape control that is vital for data compression, noise-filtering, etc. Combined with the local and in-place lifting operations, the proposed wavelet transform can dramatically decrease the memory consumption and computation complexity. Both theoretical analysis and numerical experiments show that, compared with the state-of-the-art lifting-based solutions, the proposed wavelet transform achieves higher compression ratio, more stable noise-filtering effects and better progressive transmission quality, not only decreasing the Bits/vertex of 3D meshes and improving the PSNR of reconstructed models, but also reducing the time costs of coding and decoding.
机译：近年来，已经提出了经由提升方案构建的一些双正交型Catmull-Clark细分小波变换，以加速几何模型的处理。由于渐进式插值的思想，压缩素质和噪声滤波效果显着提高。然而，重建精度未进一步提高，因为除去了许多型号细节，并且噪声过滤性能大大降低，而噪声强度逐渐增加。为了处理这种困境，提出了一种具有形状控制参数的统一的Catmull-Clark细分的双正交小波结构，以处理具有尖锐特征约束的3D模型。通过对四边形贴片的不同顶点级的定制其局部正交系数，可以大大加强模型形状控制的能力，这对于数据压缩，噪声滤波等至关重要，与当地和就地提升操作相结合，所提出的小波变换可以显着降低存储器消耗和计算复杂度。理论分析和数值实验都表明，与最先进的升降溶液相比，所提出的小波变换达到更高的压缩比，更稳定的噪声滤波效果和更好的渐进传动质量，不仅降低了比特/ 3D网格的顶点，改善重建模型的PSNR，但还降低了编码和解码的时间成本。

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