Meshless geometric subdivision

Point-based surface processing has developed into an attractive alternative to mesh-based processing techniques for a number of geometric modeling applications. By working with point cloud data directly, any processing is based on the given raw data and its underlying geometry rather than any arbitrary intermediate representations and generally artificial connectivity relations. In this paper, we introduce the notion of meshless, or point cloud, subdivision by extending concepts from recursive mesh subdivision to the point cloud case. We are primarily concerned with showing the conceptual viability of this idea and propose a first geometric meshless subdivision framework. By replacing the role of mesh connectivity by intrinsic point proximity information and devising a meshless geodesic subdivision operator, we avoid the costly surface reconstruction, simplification and potential remeshing preprocessing steps typically required for supporting mesh-based subdivision, steps which are...

• Type: Journal
• Year: 2007
• Where: CVGIP
• Authors: Carsten Moenning, Facundo Mémoli, Guillermo Sapiro, Nira Dyn, Neil A. Dodgson
• Keywords: CVGIP 2007, Geodesic Subdivision Operator, Meshless Geodesic Subdivision, Meshless Subdivision