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Geometric Properties of Bisector Surfaces

✍ Scribed by Martin Peternell

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
269 KB
Volume
62
Category
Article
ISSN
1524-0703

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✦ Synopsis

This paper studies algebraic and geometric properties of curve-curve, curvesurface, 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 lowdegree rational curves and surfaces, since they are of particular interest in surface modeling.

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