Point set surfaces

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

Research output: Chapter in Book/Report/Conference proceedingConference contribution


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 (US)
Title of host publicationProceedings of the IEEE Visualization Conference
EditorsT. Ertl, K. Joy, A. Varshney
Number of pages8
StatePublished - 2001
EventVisualization 2001 - San Diego, CA, United States
Duration: Oct 21 2001Oct 26 2001


OtherVisualization 2001
Country/TerritoryUnited States
CitySan Diego, CA


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

ASJC Scopus subject areas

  • General Computer Science
  • General Engineering


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