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)