Consistent Solid and Boundary

Consistent representations of the boundary and interior of three-dimensional solid objects are required by applications ranging from interactive visualization to nite element analysis. However, most commonly available models of solid objects contain errors and inconsistencies. We describe an algorithm that automatically constructs consistent representations of the solid objects modeled by an arbitrary set of polygons. The key feature of our algorithm is that it rst partitions space into a set of polyhedral regions and then determines which regions are solid based on region adjacency relationships. From the solid polyhedral regions, we are able to output consistent boundary and solid representations in a variety of le formats. Unlike previous approaches, our solid-based approach is eeective even when the input polygons intersect, overlap, are wrongly-oriented, have T-junctions, or are unconnected.