Accepted to Solid and Physical Modeling 2012. To appear in CAD special issue on SPM 2012.

Demonstration video: Deforming Jug

Demonstration video: Deforming NURBS

Abstract
We explore different semantics for the solid defined by a self-crossing surface (immersed sub-manifold). Specifically, we introduce rules for the interior/exterior classification of the connected components of the complement of a self-crossing surface produced through a continuous deformation process of an initial embedded manifold. We propose efficient GPU algorithms for rendering the boundary of the regularized union of the interior components, which is a subset of the initial surface and is called the trimmed boundary or simply the |

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