Reconstructing curves with sharp corners

Reconstructing Curves with Sharp Corners

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...

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...

Construction of G2 rounded corners with Pythagorean-hodograph curves

The problem of designing smoothly rounded right–angle corners with Pythagorean–hodograph (PH) curves is addressed. AG corner can be uniquely specified as a single PH cubic segment, closely approximating a circular arc. Similarly, a G corner can be uniquely constructed with a single PH quintic segment having a unimodal curvature distribution. To obtain G corners incorporating shape freedoms that...

Swim pressure on walls with curves and corners.

The concept of swim pressure quantifies the average force exerted by microswimmers on confining walls in nonequilibrium. Here we explore how the swim pressure depends on the wall curvature and on the presence of sharp corners in the wall. For active Brownian particles at high dilution, we present a coherent framework which describes the force and torque on passive particles of arbitrary shape, ...