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» Denoising Tensors via Lie Group Flows
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VLSM
2005
Springer
13 years 9 months ago
Denoising Tensors via Lie Group Flows
The need to regularize tensor fields arise recently in various applications. We treat in this paper tensors that belong to matrix Lie groups. We formulate the problem of these SO(...
Yaniv Gur, Nir A. Sochen
TIP
2002
130views more  TIP 2002»
13 years 4 months ago
Forward-and-backward diffusion processes for adaptive image enhancement and denoising
Signal and image enhancement is considered in the context of a new type of diffusion process that simultaneously enhances, sharpens, and denoises images. The nonlinear diffusion co...
Guy Gilboa, Nir A. Sochen, Yehoshua Y. Zeevi
ECCV
2002
Springer
14 years 6 months ago
Constrained Flows of Matrix-Valued Functions: Application to Diffusion Tensor Regularization
Nonlinear partial differential equations (PDE) are now widely used to regularize images. They allow to eliminate noise and artifacts while preserving large global features, such as...
Christophe Chefd'Hotel, David Tschumperlé, ...
DAGM
2006
Springer
13 years 8 months ago
Diffusion-Like Reconstruction Schemes from Linear Data Models
In this paper we extend anisotropic diffusion with a diffusion tensor to be applicable to data that is well modeled by linear models. We focus on its variational theory, and invest...
Hanno Scharr
CVPR
2008
IEEE
14 years 6 months ago
Robust statistics on Riemannian manifolds via the geometric median
The geometric median is a classic robust estimator of centrality for data in Euclidean spaces. In this paper we formulate the geometric median of data on a Riemannian manifold as ...
P. Thomas Fletcher, Suresh Venkatasubramanian, Sar...