Abstract:This paper presents a novel multiscale variational image decomposition model. Based on the hierarchical multiscale variational model of Tadmor, a novel (BV, H-1) hierarchical multiscale image decomposition method is proposed, then the novel Integro-Differential Equation (IDE) is obtained by integrating in inverse scale space a succession of refined slices of the image and balancing a Laplacian of the curvature term at the finer scale. The IDE includes a monotone increasing scaling function which is shown to dictate the size of the residual image measured in the star-norm. Some theoretical properties of the novel IDE and its numerical implementation methods are given. Theoretical analysis and numerical experiments show the effectiveness of the IDE model.
白键, 冯象初, 王旭东. 图像分解的多尺度变分模型[J]. 电子与信息学报, 2013, 35(5): 1190-1195.
Bai Jian, Feng Xiang-Chu, Wang Xu-Dong. A Multiscale Variational Model for Image Decomposition. , 2013, 35(5): 1190-1195.