Self Intersections in Freeform Curves and Surfaces

Kdy? 16.9.2010 14:00 - 14:45
Kde? ZČU / FAV / KMA / UL610 (učebna)

Gershon Elber: Self Intersections in Freeform Curves and Surfaces

Curve-curve and surface-surface intersections are considered difficult problems in geometric designs with numerous results on these topics. The detection and more so the computation and even elimination of self-intersections in curves and surfaces is viewed by many as a far more challenging problem.


Over the years, we developed several methods to robustly detected, compute and even eliminate self intersections in general freeform (typically NURBs) curves and surfaces, exploiting intrinsic and/or

geometric properties, on one side, and the algebraic structure of the shape, on the other.  Other methods are specific and employ special properties of the problem in hand, such as the case in offset computation.


In this talk, I will survey these results and provide a birds view of the current state-of-the-art on the self-intersections problems.

Evropská unie, ESF, MŠMT, OP Vzdělávání pro konkurenceschopnost, ZČU


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