Smoothing of rough surfaces

Spline Smoothing on Surfaces

We present a method for estimating functions on topologically and/or geometrically complex surfaces from possibly noisy observations. Our approach is an extension of spline smoothing, using a Þnite element method. The paper has a substantial tutorial component: we start by reviewing smoothness measures for functions deÞned on surfaces, simplicial surfaces and differentiable structures on such s...

Smoothing of curves and surfaces

Using BCrier-techniques or B-spline-techniques for lntrrpolation or approximation of cur\es or wrfaces inflection pants or changes of sign of the Gaussian curvature occaaionallq occur. Inflection polnth or changer of sign of Gaussian curvature are ur&vwd in some applications. notably the fairlng of ship liner or the fairlng of car body surfaces. In the present contribution we mtroduce ~1 simple...

Modeling Rough Surfaces

Avalanches at rough surfaces.

We describe the surface properties of a simple lattice model of a sandpile that includes evolving structural disorder. We present a dynamical scaling hypothesis for generic sandpile automata and, additionally, explore the kinetic roughening of the sandpile surface, indicating its relationship with the sandpile evolution. Finally, we comment on the surprisingly good agreement found between this ...

Hydrodynamic Lubrication of Rough Surfaces

Interacting surfaces are frequently found in mechanical systems and components. A lubricant is often added between the surfaces to separate them from mechanical contact in order to increase life and performance of the contacting surfaces. In this work various aspects of hydrodynamic lubrication are investigated theoretically. This is where interacting surfaces are completely separated by a flui...