Bulge Elimination in Implicit Surface Blends

Implicit surface blends can be obtained by combining distance surfaces. These are surfaces defined by distance to ‘skeletal’ elements such as points, line segments, polygons, or any free-form curve, surface, or volume. To illustrate, we consider distance to the planar curve shown below. Computing this distance is demanding [Bloomenthal 1989], [Schneider 1990], and often a piecewise linear approximation is substituted for the curve.