ANALYTICAL MODEL OF GROMEKA — BELTRAMI FLOW

The Beltrami Flow over Manifolds

The Beltrami Flow over Triangulated Manifolds

In several image processing applications one has to deal with noisy images defined on surfaces, like electric impulsions or diffusion tensors on the cortex. We propose a new regularization technique for data defined on triangulated surfaces: the Beltrami flow over intrinsic manifolds. This technique overcomes the over smoothing of the L2 and the stair-casing effects of the L1 flow for strongly ...

Efficient Beltrami Flow in Patch-Space

The Beltrami framework treats images as two dimensional manifolds embedded in a joint features-space domain. This way, a color image is considered to be a two dimensional surface embedded in a hybrid special-spectral five dimensional {x, y,R,G,B} space. Image selective smoothing, often referred to as a denoising filter, amounts to the process of area minimization of the image surface by mean cu...

A Maximum Principle for Beltrami Color Flow

We study, in this work, the maximum principle for the Beltrami color flow and the stability of the flow’s numerical approximation by finite difference schemes. We discuss, in the continuous case, the theoretical properties of this system and prove the maximum principle in the strong and the weak formulations. In the discrete case, all the second order explicit schemes, that are currently used, ...

The Maximum Principle for Beltrami Color Flow

We study, in this work, the maximum principle for the Beltrami color flow and the stability of the flow’s numerical approximation by finite difference schemes. We discuss, in the continuous case, the theoretical properties of this system and prove the maximum principle in the strong and the weak formulations. In the discrete case, all the second order explicit schemes, that are currently used, ...