Parabolic polygons and discrete affine geometry

Marcos Craizer*, Thomas Lewiner, Jean-Marie Morvan

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Scopus citations


Geometry processing applications estimate the local geometry of objects using information localized at points. They usually consider information about the normal as a side product of the points coordinates. This work proposes parabolic polygons as a model for discrete curves, which intrinsically combines points and normals. This model is naturally affine invariant, which makes it particularly adapted to computer vision applications. This work introduces estimators for affine length and curvature on this discrete model and presents, as a proof-of-concept, an affine invariant curve reconstruction.

Original languageEnglish (US)
Title of host publicationProceedings - SIBGRAPI 2006
Subtitle of host publicationXIX Brazilian Symposium on Computer Graphics and Image Processing
Number of pages8
StatePublished - Dec 1 2006
EventSIBGRAPI 2006: 19th Brazilian Symposium on Computer Graphics and Image Processing - Manaus, AM, Brazil
Duration: Oct 8 2006Oct 11 2006

Publication series

NameBrazilian Symposium of Computer Graphic and Image Processing
ISSN (Print)1530-1834


OtherSIBGRAPI 2006: 19th Brazilian Symposium on Computer Graphics and Image Processing
CityManaus, AM


  • Affine curvature
  • Affine differential geometry
  • Affine length
  • Curve reconstruction

ASJC Scopus subject areas

  • General Engineering


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