An Eulerian method for fluid-structure coupling with biophysical applications

An eulerian approach for fluid-structure coupling is presented for generic fluid-structure coupling an elastic body with an incompressible fluid. Fluid-solid interfaces are captured by a level-set method. The main features of the method are its simplicity, and its natural control of mass and energy. We are indeed able to prove an energy equation which ensures in particular that the regularization of the force does not involve any energy dissipation. Applications to membranes oscillation and cardiomyocyte contraction are presented

Color image enhancement by a forward-and-backward adaptive Beltrami flow

Abstract. The Beltrami diffusion-type process, reformulated for the purpose of image processing, is generalized to an adaptive forward-andbackward process and applied in localized image features ’ enhancement and denoising. Images are considered as manifolds, embedded in higher dimensional feature-spaces that incorporate image attributes and features such as edges, color, texture, orientation and convexity. To control and stabilize the process, a nonlinear structure tensor is incorporated. The structure tensor is locally adjusted according to a gradient-type measure. Whereas for smooth areas it assumes positive values, and thus the diffusion is forward, for edges (large gradients) it becomes negative and the diffusion switches to a backward (inverse) process. The resultant combined forward-and-backward process accomplishes both local denoising and feature enhancement

Image processing throught reaction combined with nonlinear diffusion

Available at INIST (FR), Document Supply Service, under shelf-number : 22495, issue : a.1992 n.78 / INIST-CNRS - Institut de l'Information Scientifique et TechniqueSIGLEFRFranc