Condensing Smooth Layers Into Singular Sheets By Weighted Coordinate Smoothing

A formal filtering process is used to simplify fields consisting of smooth layers by concentrating them into singular sheets, filaments and points. The approach is based on weighted coordinate smoothing, where the coordinates of nearby material points possessing non-zero values of the field are smoothed, using a nonlinear diffusion equation, thus moving them together. Examples for two and three-dimensional vorticity fields and the simplification of an interface identified by an index function are shown. (C) 2021 Elsevier Inc. All rights reserved.