关键词: 变指数变分模型, [Lp]范数, 结构张量, 各向异性

Abstract: According to the local characteristics of image, a variable index variational model is proposed based on [Lp] norm. Firstly, a [Lp] norm operator is designed with structure tensor as adaptive adjustment of parameter. It overcomes the traditional operator sensitive to noise. From the perspective of diffusion, the model is anisotropic. In the smooth region of image, diffusion will be executed with equal spread both along the gradient and tangential, while on the edge of the image, diffusion will be executed only along the tangential. The proposed method has good filtering performance, which can preserve edge details effectively during diffusion. The experimental results demonstrate that for medical image, the new algorithm is superior to other kinds of variable index variational model in the aspect of objective performance evaluation and subjective visual effect.

Key words: variable index variational model, [Lp] norm, structure tensor, anisotropy