基于SVM的图像自适应速率压缩感知
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昆明理工大学

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基金项目:

国家自然科学基金项目(6246103);云南省基础研究面上项目(202401AT070415);云南省基础研究重点项目(202401AS070105)


Image adaptive-rate compressed sensing based on support vector machine
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Kunming University of Science and Technology

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National Natural Science Foundation of China Project(Grant No.: 6246103);Yunnan Province Basic Research General Project (Project No.: 202401AT070415);Yunnan Province Basic Research Key Project (Project No.: 202401AS070105);

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    摘要:

    摘 要: 在压缩感知的实际应用中,采样端往往无法获取原始信号的稀疏性,且采样资源有限,导致传统块压缩感知(BCS)难以实现自适应采样速率分配,从而造成重建质量下降。为此,本研究提出了一种基于支持向量机(SVM)的自适应块压缩感知方法。该方法首先从压缩测量域提取估计的图像块均值、方差与局部显著度三类特征,通过训练好的径向基函数(RBF)核SVM分类器,将图像块划分为简单、中等、复杂三类,并据此进行差异化采样速率分配。在重建阶段,采用过完备字典结合lasso算法,进一步增强了图像的稀疏表示能力。实验结果表明,与现有方法相比,本文方法在较低采样率下展现出更优的重建峰值信噪比及视觉效果。同时,该方法无需原始图像先验信息,且计算复杂度较低,在功耗与带宽受限的图像采集系统中具有良好的应用价值。

    Abstract:

    Abstract: In practical applications of compressed sensing (CS), the inability of the sampling end to access the sparsity of the original signal, combined with limited sampling resources, hinders traditional block compressed sensing (BCS) from achieving adaptive sampling rate allocation, thereby resulting in degraded reconstruction quality. To address this issue, this paper proposes an adaptive block compressed sensing method based on Support Vector Machine (SVM). The proposed method first extracts three categories of features—image block mean, variance, and local saliency—directly from the compressive measurement domain. A trained Radial Basis Function (RBF) kernel-based SVM classifier is then utilized to categorize image blocks into simple, medium, and complex classes, facilitating differentiated sampling rate allocation. In the reconstruction phase, an overcomplete dictionary combined with the Lasso algorithm is employed to further enhance the sparse representation capability of the images. Experimental results demonstrate that, compared with existing methods, the proposed approach achieves superior peak signal-to-noise ratio (PSNR) and visual quality at lower sampling rates. Furthermore, this method requires no prior information of the original image and maintains low computational complexity, making it highly valuable for image acquisition systems with constrained power consumption and bandwidth.

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  • 收稿日期:2026-06-17
  • 最后修改日期:2026-08-26
  • 录用日期:2026-09-05
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