Elastostatic computations on aggregates of grains with sharp interfaces, corners, and triple-junctions

Elastostatic computations on aggregates of grains with sharp interfaces, corners, and triple-junctions

We present a fast algorithm for the calculation of elastostatic fields in twodimensional assemblies of elastic grains, separated by sharp grain boundaries. The algorithm uses an integral equation approach, combined with the fast multipole method and recursive compression to resolve stress concentrations also very close to grain boundary junctions. Singular basis functions on analytic form are n...

Reconstructing Curves with Sharp Corners

Constructing Isosurfaces with Sharp Edges and Corners using Cube Merging

A number of papers present algorithms to construct isosurfaces with sharp edges and corners from hermite data, i.e. the exact surface normals at the exact intersection of the surface and grid edges. We discuss some fundamental problems with the previous algorithms and describe a new approach, based on merging grid cubes near sharp edges, that produces significantly better results. Our algorithm...

Contour Tracking by Enhancing Corners and Junctions

In a previous paper an approach was presented in which, given an approximated starting contour on the first frame, all the contours of the image sequence could be outlined automatically with the desired resolution. Although such an approach provided satisfactory results, singular isolated points, such as corners and junctions, gave rise to localization errors. The difficulties encountered at co...

Edge Grouping for Detecting Salient Boundaries with Sharp Corners

The Gestalt law of continuity, or smoothness, is an important factor in guiding the edge grouping. In practice, however, the boundaries of many salient structures of interest may not be smooth everywhere and may contain some sharp corners. This paper presents a globally optimal edge-grouping method that can detect perceptually salient boundaries with sharp corners. In this method, a set of stra...