ACM Transactions on Graphics· 2013Q1
Screened poisson surface reconstruction
- 2,226citations
- Q1SCImago
- 2013year
Short summary
This work extends Poisson surface reconstruction by incorporating points as explicit interpolation constraints, generalizing the mathematical framework to a screened Poisson equation.
AI-generated from the title and abstract; the full text is not read.
Key points
- Introduces a 'screened Poisson equation' for surface reconstruction.
- Points are used as explicit interpolation constraints.
- Screening term is defined over sparse points, enabling efficient integration.
- Algorithmic improvements reduce solver time complexity to linear in the number of points.
AI-generated from the title and abstract; the full text is not read.
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.
The authors' abstract, as published at the source. ACM Transactions on Graphics, 2013 · DOI ↗
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Field: Computer Graphics and Computer-Aided Design
Computer Graphics and Computer-Aided DesignComputer Science