Morse theory shows how the topology of an implicit surface is affected by its function’s critical points, whereas catastrophe theory shows how these critical points behave as th...
Many algorithms for reducing the number of triangles in a surface model have been proposed, but to date there has been little theoretical analysis of the approximations they produ...
A geometrical modelling tool allowing construction of models of living cells and their organelles would facilitate understanding of biological processes at the cellular level. Her...
A general paradigm for recognizing 3D objects is offered, and applied to some geometric primitives (spheres, cylinders, cones, and tori). The assumption is that a curve on the surf...
Daniel Keren, Ehud Rivlin, Ilan Shimshoni, Isaac W...
We present an efficient algorithm to mesh the macromolecules surface model represented by the skin surface defined by Edelsbrunner. Our algorithm overcomes several challenges resi...