一种基于SCP范数和结构稀疏的前景检测OA
A FOREGROUND DETECTION BASED ON SCP NORM AND STRUCTURE SPARSENESS
针对传统的鲁棒主成分分析(Robust Principal Component Analysis,RPCA)模型存在奇异值过度惩罚与忽略前景的空间连续性的问题,提出基于 Schatten-Capped-P(SCP)范数和结构稀疏的前景检测模型.该模型利用 SCP 范数约束低秩背景,其对不同的奇异值施加不同的惩罚力度,有效地避免奇异值被过度惩罚;利用 C(2,1)范数约束稀疏前景,考虑了前景的空间连续性.实验表明,与近期 5 种主流算法相比较,所提出的模型能有效地处理奇异值过度惩罚及前景空间连续性问题.算法在平均 F-measure 值上取得最优,与次优模型相比,平均 F-measure 值提高44%.
Based on the robust principal component analysis(RPCA)model,aimed at the problems that the singular values are over-penalized and the spatial continuity of foreground is ignored in traditional RPCA models,a foreground detection model based on Schatten-Capped-P(SCP)norm and structure sparseness is proposed.The SCP norm was applied to constrain low-rank backgrounds which imposed different penalties on different singular values and could effectively avoid excessive punishment of singular values.The sparse foreground was constrained by the C(2,1)norm which took full use of the spatial continuity of the prospect.Experiments show that,compared with the five recent mainstream algorithms,the proposed model can effectively deal with the problems of excessive punishment of singular values and the spatial continuity of foreground.The proposed algorithm achieves the best average F-measure value.Compared with the suboptimal model,the average F-measure of the proposed model is increased by 44%in terms of per-formance.
陆游尤;陈利霞
桂林电子科技大学数学与计算科学学院 广西 桂林 541004桂林电子科技大学数学与计算科学学院 广西 桂林 541004||广西应用数学中心 广西 桂林 541004
信息技术与安全科学
鲁棒主成分分析模型SCP范数C(2,1)范数前景检测
RPCA modelsSCP normC(2,1)normForeground detection
《计算机应用与软件》 2026 (5)
133-140,8
国家自然科学基金项目(11961010)广西自然科学基金项目(2018GXNSFAA138169)桂林电子科技大学2022年院级研究生创新项目(2022YJSCX03).
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