CAJ | 학술논문

为了提高图像稀疏表示性能，提出了一种有效的结构化字典图像稀疏表示方法。针对过完备字典构造和稀疏分解中原子筛选问题，提出了一种基于灰色关联度的字典原子筛选和结构聚类方案。首先，对测试图像分块处理，利用块作为原子样本；然后，计算原子间的灰色关联度，并设置原子灰色关联度的筛选准则；最后，利用结构特征对原子聚类，构造图像稀疏字典。算法利用灰色关联度选择表征能力强的原子，提高字典的表征能力，缓解了传统字典设计对原子个数的依赖；同时，降低了算法的复杂度。将该方法得到的字典用于图像去噪，结果表明，视觉效果明显优于同类算法，峰值信噪比提高2 dB左右，且算法复杂度显著降低。
위료제고도상희소표시성능，제출료일충유효적결구화자전도상희소표시방법。침대과완비자전구조화희소분해중원자사선문제，제출료일충기우회색관련도적자전원자사선화결구취류방안。수선，대측시도상분괴처리，이용괴작위원자양본；연후，계산원자간적회색관련도，병설치원자회색관련도적사선준칙；최후，이용결구특정대원자취류，구조도상희소자전。산법이용회색관련도선택표정능력강적원자，제고자전적표정능력，완해료전통자전설계대원자개수적의뢰；동시，강저료산법적복잡도。장해방법득도적자전용우도상거조，결과표명，시각효과명현우우동류산법，봉치신조비제고2 dB좌우，차산법복잡도현저강저。
In order to improve the performance of image sparse representation,an effective represen-tation method based on a structured image sparse dictionary is proposed.For the atomic selecting problem in constructing an over-complete dictionary and sparse decomposition,a kind of images dic-tionary atom selecting and structure clustering method based on the grey relation is proposed.First, atoms are selected by the blocking test image.Then the grey relation between atoms is calculated, and the rule of atom selection is set up.Finally,atoms are clustered by characteristics of structures, and a sparse representation dictionary is constructed.In this method,atoms with high representative performance are selected by the grey relation,improving the ability of capturing the image structure. The method solves the problem of a traditional dictionary designed depending on the number of se-lected atoms and also reduces the complexity.The simulation results show that the proposed method is superior to other algorithms in objective quality.The peak signal to noise ratio value increases about 2 dB.And the complexity of the algorithm is decreases greatly.