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首页> 外文期刊>Image Processing, IEEE Transactions on >Adaptive Nonseparable Wavelet Transform via Lifting and its Application to Content-Based Image Retrieval
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Adaptive Nonseparable Wavelet Transform via Lifting and its Application to Content-Based Image Retrieval

机译：基于提升的自适应不可分小波变换及其在基于内容的图像检索中的应用

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摘要

We present in this paper a novel way to adapt a multidimensional wavelet filter bank, based on the nonseparable lifting scheme framework, to any specific problem. It allows the design of filter banks with a desired number of degrees of freedom, while controlling the number of vanishing moments of the primal wavelet (mathtilde N¿ moments) and of the dual wavelet ( N¿ moments). The prediction and update filters, in the lifting scheme based filter banks, are defined as Neville filters of order mathtilde N¿ and N¿ , respectively. However, in order to introduce some degrees of freedom in the design, these filters are not defined as the simplest Neville filters. The proposed method is convenient: the same algorithm is used whatever the dimensionality of the signal, and whatever the lattice used. The method is applied to content-based image retrieval (CBIR): an image signature is derived from this new adaptive nonseparable wavelet transform. The method is evaluated on four image databases and compared to a similar CBIR system, based on an adaptive separable wavelet transform. The mean precision at five of the nonseparable wavelet based system is notably higher on three out of the four databases, and comparable on the other one. The proposed method also compares favorably with the dual-tree complex wavelet transform, an overcomplete nonseparable wavelet transform.
机译：我们在本文中提出了一种基于不可分离提升方案框架的多维小波滤波器组适应任何特定问题的新颖方法。它允许设计具有期望的自由度数的滤波器组，同时控制原始小波（零点NÂ力矩）和对偶小波（NÂ力矩）的消失矩数量。在基于提升方案的滤波器组中，预测和更新滤波器分别定义为阶为MathtildeNÂ和NÂ的Neville滤波器。但是，为了在设计中引入一定程度的自由度，未将这些滤波器定义为最简单的内维尔滤波器。所提出的方法很方便：无论信号的维数和所使用的晶格如何，都使用相同的算法。该方法应用于基于内容的图像检索（CBIR）：从该新的自适应不可分小波变换中得出图像签名。该方法在四个图像数据库上进行了评估，并根据自适应可分小波变换与类似的CBIR系统进行了比较。基于不可分小波的系统中的五个，其平均精度在四个数据库中的三个数据库上明显更高，而在另一个数据库上则相当。所提出的方法还与双树复数小波变换，一种超完备的不可分小波变换相比具有优势。

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