Abstract:
The bisector surface B of two smooth input objects P and Q is the locus of centers of spheres which are tangent to P and Q, respectively. This definition already indicates that methods from sphere geometry, in particular Liesphere geometry apply nicely to the construction of these surfaces. The computation of bisector surfaces of general input surfaces results in the solution of a system of nonlinear equations. We show that if both surfaces are canal surfaces or if one surface is a Liesphere, the construction is elementary.
Bibtex:
@inproceedings{peternell2006bs, author = {Martin Peternell}, title = "SphereGeometric Aspects of Bisector Surfaces", booktitle = "Algebraic Geometry and Geometric Modeling", year = {2006}, pages = "107112", note = "{P}roceedings of the conference in Barcelona, September 47", }

