3D surface reconstruction using a generalized distance function

R. Poranne, C. Gotsman, D. Keren

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


We define a generalized distance function on an unoriented 3D point set and describe how it may be used to reconstruct a surface approximating these points. This distance function is shown to be a Mahalanobis distance in a higher-dimensional embedding space of the points, and the resulting reconstruction algorithm a natural extension of the classical Radial Basis Function (RBF) approach. Experimental results show the superiority of our reconstruction algorithm to RBF and other methods in a variety of practical scenarios.

Original languageEnglish (US)
Pages (from-to)2479-2491
Number of pages13
JournalComputer Graphics Forum
Issue number8
StatePublished - Dec 2010
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Computer Graphics and Computer-Aided Design


  • Distance measure
  • Point clouds
  • Surface reconstruction


Dive into the research topics of '3D surface reconstruction using a generalized distance function'. Together they form a unique fingerprint.

Cite this