Boolean Operations with Implicit and Parametric Representation of Primitives Using R-Functions
IEEE Transactions on Visualization and Computer Graphics
Graphical Models - Special issue on SMI 2004
Technical Section: Interactive function-based shape modelling
Computers and Graphics
The HybridTree: a hybrid constructive shape representation for free-form modeling
Heterogeneous objects modelling and applications
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In this paper, we introduce a hybrid modeling frameworkfor creating complex objects. Our system relies on an extendedCSG tree that assembles skeletal implicit surfacesand polygonal meshes in a coherent fashion: we call thisstructure the HybridTree. Editing operations are performedby exploiting the complementary abilities of both implicitand parametric surface representations. Implicit surfacesare powerful for combining shapes with Boolean and blendingoperations, while polygonal meshes are well-suited forlocal deformations such as FFD and fast visualization. Theevaluation of the HybridTree is performed on the fly eitherthrough field function queries when the implicit form is required,or through a mesh creation process which is specificand optimized for every kind of node. Both types of queriesare achieved in a complete transparent way for the user.