In this report, we discuss a simple model for RGB color and polarization images under a unified framework of quaternion nonnegative matrix factorization (QNMF) and present a hierarchical nonnegative least squares method to solve the factor matrices. The convergence analysis of the algorithm is discussed as well. We test the proposed method in the polarization image and color facial image representation. Compared to the state-of-the-art methods, the experimental results demonstrate the effectiveness of the hierarchical nonnegative least squares method for the QNMF model.

翻译：在本报告中，我们讨论了一种在四元数非负矩阵分解（QNMF）统一框架下的RGB彩色与偏振图像简单模型，并提出了一种分层非负最小二乘法来求解因子矩阵。文中亦讨论了该算法的收敛性分析。我们在偏振图像与彩色人脸图像表示任务中测试了所提出的方法。与现有先进方法相比，实验结果验证了该分层非负最小二乘法对于QNMF模型的有效性。