The medial axis of a shape is known to carry a lot of information about it. In particular a recent result of Lieutier establishes that every bounded open subset of Rn has the same...
Implicit surface is a well-known surface representation. Geometric details of an object can be represented using less surface primitives than other representations such as polygon...
Convexity is an important geometric property of many natural and man-made structures. Prior research has shown that it is imperative to many perceptual-organization and imageunder...
The study of physical models for knots has recently received much interest in the mathematics community. In this paper, we consider the ropelength model, which considers knots tie...
Location-based applications require a well-formed representation of spatial knowledge. Current location models can be classified into symbolic or geometric models. The former att...