Poisson Surface Reconstruction with Envelope Constraints

Misha Kazhdan, Ming Chuang, Szymon Rusinkiewicz, Hugues Hoppe

Research output: Contribution to journalArticlepeer-review

52 Scopus citations


Reconstructing surfaces from scanned 3D points has been an important research area for several decades. One common approach that has proven efficient and robust to noise is implicit surface reconstruction, i.e. fitting to the points a 3D scalar function (such as an indicator function or signed-distance field) and then extracting an isosurface. Though many techniques fall within this category, existing methods either impose no boundary constraints or impose Dirichlet/Neumann conditions on the surface of a bounding box containing the scanned data. In this work, we demonstrate the benefit of supporting Dirichlet constraints on a general boundary. To this end, we adapt the Screened Poisson Reconstruction algorithm to input a constraint envelope in addition to the oriented point cloud. We impose Dirichlet boundary conditions, forcing the reconstructed implicit function to be zero outside this constraint surface. Using a visual hull and/or depth hull derived from RGB-D scans to define the constraint envelope, we obtain substantially improved surface reconstructions in regions of missing data.

Original languageEnglish (US)
Pages (from-to)173-182
Number of pages10
JournalComputer Graphics Forum
Issue number5
StatePublished - Aug 1 2020

All Science Journal Classification (ASJC) codes

  • Computer Graphics and Computer-Aided Design


  • Categories and Subject Descriptors (according to ACM CCS): I.3.5 [Computer Graphics]: Computational Geometry and Object Modeling—Geometric algorithms
  • and systems
  • languages


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