TitleThe Domain of a Point Set Surfaces (Article)
in Eurographics Symposium on Point-based Graphics
Author(s) Nina Amenta, Yong J Kil
Editor(s) Markus Gross, Hanspeter Pfister, Marc Alexa, Szymon Rusinkiewicz
Keyword(s)point-sets, surfaces, domain, MLS surface
Year June 2004
LocationETH Zurich, Switzerland
DateJune 2--4, 2004
PublisherEurographics Association
AddressPO Box 16, CH-1288 Aire-laVille, Switzerland
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.