In this paper, we show the conceptual viability of this notion of meshless geometric subdivision by introducing the first intrinsic meshless subdivision scheme ...

This paper presents a first framework for meshless, or point cloud, subdivision. That is, we propose to avoid the consideration of mesh connectivity graphs and ...

Point-based surface processing has developed into an attractive alternative to mesh-based processing tools for a number of geometric modeling applications.

Home · University of Minnesota Twin Cities · Institute for Mathematics and Its Applications · IMA Preprints Series · Meshless geometric subdivision ...

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.

Convergence and smoothness analysis of geometric, nonlinear, subdivision schemes in the presence of extraordinary points are discussed and C1 smoothness of ...

Point-based surface processing has developed into an attractive alternative to mesh-based processing tools for a number of geometric modeling applications.

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The present article deals with convergence and smoothness analysis of geometric, nonlinear, subdivision schemes in the presence of extraordinary points. We ...

Jun 24, 2014 · Meshless ... A unified approach to subdivision algorithms near extraordinary vertices. Computer Aided Geometric Design 1995; 12(2): 153–174.