Technical Report Number
We introduce the concept of local neighborhoods, a generalization of the one-ring on a mesh to unlabeled 3D data points arising from sampling a 2D surface embedded in 3D. The local neighborhood supports both local shape classification and robust normal estimation. In particular, local neighborhoods out-perform traditional approaches in unevenly sampled, curved regions. We show that the local neighborhood can be used in place of a full mesh structure for applications such as smoothing, moving least-squares reconstruction, and parameterization. Longer version of paper submitted to CAGD
Grimm, Cindy and Smart, William, "Local Neighborhoods for Shape Classification and Normal Estimation" Report Number: WUCSE-2008-15 (2008). All Computer Science and Engineering Research.