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Defining Point-Set Surfaces Nina Amenta

Summary: Defining Point-Set Surfaces
Nina Amenta
University of California at Davis
Yong Joo Kil
University of California at Davis
The MLS surface [Levin 2003], used for modeling and rendering
with point clouds, was originally defined algorithmically as the out-
put of a particular meshless construction. We give a new explicit
definition in terms of the critical points of an energy function on
lines determined by a vector field. This definition reveals connec-
tions to research in computer vision and computational topology.
Variants of the MLS surface can be created by varying the vector
field and the energy function. As an example, we define a simi-
lar surface determined by a cloud of surfels (points equipped with
normals), rather than points.
We also observe that some procedures described in the literature
to take points in space onto the MLS surface fail to do so, and we
describe a simple iterative procedure which does.
1 Introduction


Source: Amenta, Nina - Department of Computer Science, University of California, Davis


Collections: Biology and Medicine; Computer Technologies and Information Sciences