Representing Non-Manifold Shapes in Arbitrary Dimensions


In this paper, we describe and analyze several representations for complex shapes, i.e., multi-dimensional, non-manifold objects with parts of mixed dimensionality, based on simplicial complexes. We review our work on compact and scalable representations for 2D and 3D simplicial complexes embedded in 3D Euclidean space. We propose a dimension-independent representation for simplicial complexes in which all the simplexes are uniquely and explicitly encoded. Finally, we describe a decomposition approach to the representation of non-manifold objects in arbitrary dimensions based on their decomposition into nearly manifold components.

Israel-Korean Bi-national Conference on New Technologies and Visualization Methods for Product Development on Design and Reverse Engineering, Haifa