Nina Amenta and Yong Joo Kil

The Domain of a Point Set Surface [PDF]

Abstract:

It is useful to be able to define a two-dimensional **point-set
surface** determined by a point cloud. One popular definition is Levin's MLS
surface. This surface is defined on a domain which is a three-dimensional, a
narrow region around the input point cloud. If we were to extend the definition
outside the domain, we would produce components of the surface which are far
from the point cloud. This is important in practice, since when moving points
onto the MLS surface, we need to begin with an initial guess which is within
the domain. We visualize the domain in two dimensions, and explain why it is
so narrow. We also consider two MLS variants which can be defined on a wider
domain without producing spurious surface components. One is efficient and works
well except near sharp corners. The other is computationally expensive but seems
to work well everywhere.

Downloads:

- Paper [PDF]
- Presentation [PPT]
- PointShop3D Plugin [INFO]