Curve and surface reconstruction from regular and non-regular point sets

Edmond Boyer 1 Sylvain Petitjean 2
1 MOVI - Modeling, localization, recognition and interpretation in computer vision
GRAVIR - IMAG - Graphisme, Vision et Robotique, Inria Grenoble - Rhône-Alpes, CNRS - Centre National de la Recherche Scientifique : FR71
2 ISA - Models, algorithms and geometry for computer graphics and vision
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : In this paper, we address the problem of curve and surface reconstruction from sets of points. We introduce regular interpolants which are polygonal approximations of planar curves and surfaces verifying a local sampling criterion. Properties of regular interpolants lead to new polygonal reconstruction methods from sets of organized and unorganized points. These methods do not need any parameter or additional information apart from the original points and allow unorganized sets of points to be easily handled.
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Edmond Boyer, Sylvain Petitjean. Curve and surface reconstruction from regular and non-regular point sets. IEEE Conference on Computer Vision & Pattern Recognition (CVPR '00), Jun 2000, Hilton Head Island, United States. pp.659 - 665, ⟨10.1109/CVPR.2000.854937⟩. ⟨inria-00099062⟩

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