In this report, we describe two works related to problems on curved
objects,

that we have identified as important. The first one is the computation
of

the topology of 3d implicit curves or surfaces. We propose a new
methods,

which reduces the problem to the comparison of coordinates of special
points on

the surface. We sketch the method, show some implementation details and
some

preliminary experiments on algebraic surfaces with singularities.

The second problem is related to the computation of bisectors of
algebraic

curves and surfaces. We analyze the degree of the resulting curve or
surface

and give some experiments, based on an implementation in the computer
algebra

package maple.

Source
code *(ECG Members only)*

Laurent Busé, Gregory Gatellier , Bernard Mourrain, Olivier Ruatta, Jean-Pierre Técourt.

Last modified: Mon Apr 30 11:37:15 MET 2004