Last update, June 30, 2000
References on Bisector computations :
BibTeX references .
Gershon Elber
(Technion, Israel Institute of Technology)
and
Myung Soo Kim (Seoul National University)
IEEE Computer Graphics & Applications, Vol. 19, No. 6, November/December 1999
Bisector construction plays an important role in many geometric computations. This article explains how to compute rational bisectors of point-surface and sphere-surface pairs.
Martin
Peternell
Institute of Geometry, Vienna University of Technology, Wiedner
Hauptstrasse 8-10, Vienna, A-1040, Austria,
< peternell@geometrie.tuwien.ac.at
>
Graphical
Models and Image Processing, v.62(3), pp.202-236, May 2000.
This paper studies algebraic and geometric properties of curve-curve, curve-surface, and surface-surface bisectors. The computation is in general difficult since the bisector is determined by solving a system of nonlinear equations. Geometric considerations will help us to determine several distinguished curve and surface pairs which possess elementary computable bisectors. Emphasis is on low-degree rational curves and surfaces, since they are of particular interest in surface modeling.
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