基于反调和平均的张量形态学算子模型及其在彩色图像边缘检测中的应用

旨在建立基于张量模型的彩色图像形态学算子。通过将HSV彩色空间下的三维向量利用二阶对称正定张量进行建模表示, 提出一种基于反调和平均的彩色形态学算子。在此基础上, 借助于张量相似性度量构造基于参考张量的形态学算子, 该算子能够实现滤波的输入保持。通过基于形态学梯度的边缘检测实验验证模型的可行性和有效性。对比实验表明基于张量的彩色形态学模型相对于原有的向量模型在图像处理中具有更好的结果。

Counter-harmonic mean-based tensor morphological operators and application in edge detection for color images

To establish the tensor model for color morphological operators, the paper proposed counter-harmonic mean-based color morphological operators by translating three-dimensional vectors into two-order positive definite symmetric tensors from HSV color space to tensor space. It used reference tensor method and tensorial similarity measure to construct input-preserving morphological operators. Finally, it conducted morphological gradient-based edge detection experiments to prove the feasibility and effectiveness of the proposed model. Experimental results show compared with traditional vector-based method, the tensor-based operators can get better effect.