基于频谱特征自适应采样的傅里叶单像素成像方法
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1.西南科技大学信息工程学院,绵阳 621010;2.苏州大学光电科学与工程学院,苏州 215006;3.江苏省先进光学制造技术重点实验室&教育部现代光学技术重点实验室,苏州 215006;4.西南科技大学四川天府新区创新研究院,成都 610299;5.特殊环境机器人技术四川省重点实验室,绵阳 621010

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国家自然科学基金(11872058)。


Fourier Single-Pixel Imaging Method Based on Adaptive Sampling of Spectral Features
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1.School of Information Engineering, Southwest University of Science and Technology, Mianyang 621010, China;2.School of Optoelectronic Science and Engineering, Soochow University, Suzhou 215006, China;3.Key Lab of Advanced Optical Manufacturing Technologies of Jiangsu Province & Key Lab of Modern Optical Technologies of Education Ministry of China, Suzhou 215006, China;4.Tianfu Institute of Research and Innovation, Southwest University of Science and Technology, Chengdu 610299, China;5.Robot Technology Used for Special Environment Key Laboratory of Sichuan Province, Mianyang 621010, China

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    摘要:

    傅里叶单像素成像(Fourier single-pixel imaging, FSI)中成像效率的提升主要借助优化重构算法和采样方法来实现,但在采样次数有限的情况下,FSI无法准确采样关键频率,导致成像质量差。为解决这一问题,提出一种频谱特征自适应采样策略。首先,研究傅里叶域中能量的集中程度,以此确定低频等距预采样的最优半径。进一步,通过预采样低频分量估计关键频谱位置的方式,测量相应的傅里叶系数,最终实现图像重构。与基于高频方向能量连续性的自适应采样方法相比,该方法可以针对不同频谱特征目标,自适应选择较优采样路径,获取关键傅里叶系数,进而改善成像质量,其峰值信噪比提高2.28 dB,结构相似度提高15.83%。因此,该方法在应对FSI对未知特征目标进行成像时,具有高效空间信息采集的优点,有望在单像素快速实时成像中得到应用。

    Abstract:

    The improvement of imaging efficiency in Fourier single-pixel imaging (FSI) is mainly achieved with the help of optimized reconstruction algorithms and optimized sampling methods. However, with a limited number of samplings, FSI cannot accurately sample critical frequencies, resulting in poor imaging quality. To solve this problem, a strategy for adaptive sampling of spectral features is proposed. First, the degree of concentration of energy in the Fourier domain is investigated as a way to determine the optimal radius of low-frequency equidistant pre-sampling, and further, the corresponding Fourier coefficients are measured by means of pre-sampling the low-frequency components to estimate the key spectral positions, which ultimately realizes the image reconstruction. Compared with the adaptive sampling method based on energy continuity in the high-frequency direction, this method can adaptively select better sampling paths for different spectral feature targets, obtain the key Fourier coefficients, and then improve the imaging quality, with a peak signal-to-noise ratio increase of 2.28 dB and a structural similarity increase of 15.83%. Therefore, this method has the advantage of efficient spatial information acquisition in response to FSI of unknown feature targets, and is expected to be applied in single-pixel fast real-time imaging.

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肖振坤,张永峰,魏文卿,邓琥.基于频谱特征自适应采样的傅里叶单像素成像方法[J].数据采集与处理,2024,(2):324-336

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  • 收稿日期:2024-02-28
  • 最后修改日期:2024-03-15
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  • 在线发布日期: 2024-03-25