Numéro : 2461 - Year : 2005

Geometry and complexity: the entropy as splitting criteria?

Marc POMMELET, Cabinet SISTRE -

Today’s complex form modeling allows representing any form as accurately as a canonic one.

Strait lines, circles, ellipses, parabolas and other classical primitives are simple forms, clearly typed by their definition, but NURBS, for example, can potentially approximate any of them. As this “polymorphism” allows transforming continuously any simple form into a complex one, without changing its nature, it looks necessary to replace this rough simple/complex opposition by a sharp measure of model’s geometric complexity.

Such a measure should undoubtedly be a particularly relevant fairing criterion…

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