Point set surfaces

M. Alexa*, J. Behr, D. Cohen-Or, S. Fleishman, D. Levin, C. T. Silva

*Corresponding author for this work

Research output: Contribution to conferencePaperpeer-review


We advocate the use of point sets to represent shapes. We provide a definition of a smooth manifold surface from a set of points close to the original surface. The definition is based on local maps from differential geometry, which are approximated by the method of moving least squares (MLS). We present tools to increase or decrease the density of the points, thus, allowing an adjustment of the spacing among the points to control the fidelity of the representation. To display the point set surface, we introduce a novel point rendering technique. The idea is to evaluate the local maps according to the image resolution. This results in high quality shading effects and smooth silhouettes at interactive frame rates.

Original languageEnglish
Number of pages8
StatePublished - 2001
Externally publishedYes
EventVisualization 2001 - San Diego, CA, United States
Duration: 21 Oct 200126 Oct 2001


ConferenceVisualization 2001
Country/TerritoryUnited States
CitySan Diego, CA


  • 3D acquisition
  • Moving least squares
  • Point sample rendering
  • Surface representation and reconstruction


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