# Screened Poisson surface reconstruction

ACM Trans. Graphics, 32(3), 2013. (Presented at SIGGRAPH 2013.)

Improved geometric fidelity and linear-complexity adaptive hierarchical solver.

**Abstract:**
Poisson surface reconstruction creates watertight surfaces from oriented point sets. In this work we
extend the technique to explicitly incorporate the points as interpolation constraints. The extension can
be interpreted as a generalization of the underlying mathematical framework to a screened Poisson equation.
In contrast to other image and geometry processing techniques, the screening term is defined over a sparse
set of points rather than over the full domain. We show that these sparse constraints can nonetheless be
integrated efficiently. Because the modified linear system retains the same finite-element discretization,
the sparsity structure is unchanged, and the system can still be solved using a multigrid approach.
Moreover we present several algorithmic improvements that together reduce the time complexity of the solver
to linear in the number of points, thereby enabling faster, higher-quality surface reconstructions.