The offset hypersurface  O   d  ( V ), at distance  d , to an irreducible hypersurface  V  is essentially the envelope of the system of spheres centered at the points of  V  with fixed radius  d  (for a formal definition, and for basic properties of offsets, see [2] and [9]). This type of geometric objects have been studied extensively by many authors in the frame of CAGD applications (see [4]). As a consequence of this research, many interesting theoretical and algorithmic questions related to algebraic and differential geometric properties of offsets have been addressed. In this context, one usually analyzes whether a certain property of the original variety  V  is translated to  O d  ( V ) when offsetting.In this poster we present several efficient algorithms (and examples thereof) developed in our research group for the computation of algebraic and geometric properties of offset hypersurfaces.
['F. San Segundo', 'J. R. Sendra', 'Juana Sendra']
Offsets from the perspective of computational algebraic geometry