期刊
QUARTERLY OF APPLIED MATHEMATICS
卷 68, 期 2, 页码 293-331出版社
BROWN UNIV
DOI: 10.1090/S0033-569X-10-01173-3
关键词
Nonlinear diffusion equations on Lie groups; Cartan connection; fiber bundles; image analysis; coherence enhancing diffusion
资金
- Netherlands Organization for Scientific Research
By means of a special type of wavelet unitary transform we construct an orientation score from a grey-value image. This orientation score is a complex-valued function on the 2D Euclidean motion group SE(2) and gives us explicit information on the presence of local orientations in an image. As the transform between image and orientation score is unitary we can relate operators on images to operators on orientation scores in a robust manner. Here we consider nonlinear adaptive diffusion equations on these invertible orientation scores. These nonlinear diffusion equations lead to clear improvements of the celebrated standard coherence enhancing diffusion equations on images as they can enhance images with crossing contours. Here we employ differential geometry on SE(2) to align the diffusion with optimized local coordinate systems attached to an orientation score, allowing us to include local features such as adaptive curvature in our diffusions.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据