author = {Clarenz, U. and Rumpf, M. and Telea, A.},
  title = {Finite Elements on Point Based Surfaces},
  booktitle = {Eurographics Symposium of Point Based Graphics},
  year = {2004},
  abstract = {We present a framework for processing point-based surfaces via partial
	differential equations (PDEs). Our framework ef ciently and effectively
	brings well-known PDE-based processing techniques to the eld of point-based
	surfaces. Our method is based on the construction of local tangent
	planes and a local Delaunay triangulation of adjacent points projected
	onto this plane. The de nition of tangent spaces relies on moment-based
	computation with proven scaling and stability properties. Once local
	couplings are obtained, we are able to easily assemble PDE-specific
	mass and stiffness matrices and solve corresponding linear systems
	by standard iterative solvers. We demonstrate our framework by different
	classes of PDE-based surface processing applications, such as texture
	synthesis and processing, geometric fairing, and segmentation.},
  journal = {Computers \& Graphics}