Multiview Reconstruction of Space Curves

  • Authors:
  • Fredrik Kahl;Jonas August

  • Affiliations:
  • -;-

  • Venue:
  • ICCV '03 Proceedings of the Ninth IEEE International Conference on Computer Vision - Volume 2
  • Year:
  • 2003

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Abstract

Is the real problem in resolving correspondence using currentstereo algorithms the lack of the "right" matching criterion?In studying the related task of reconstructing three-dimensionalspace curves from their projections in multipleviews, we suggest that the problem is more basic: matchingand reconstruction are coupled, and so reconstruction algorithmsshould exploit this rather than assuming that matchingcan be successfully performed before reconstruction. Torealize this coupling, a generative model of curves is introducedwhich has two key components: (i) a prior distributionof general space curves and (ii) an image formation modelwhich describes how 3D curves are projected onto the imageplane. A novel aspect of the image formation model is that ituses an exact description of the gradient field of a piecewiseconstant image. Based on this forward model, a fully automaticalgorithm for solving the inverse problem is developedfor an arbitrary number of views. The resulting algorithmis robust to partial occlusion, deficiencies in image curveextraction and it does not rely on photometric information.The relative motion of the cameras is assumed to be given.Several experiments are carried out on various realistic scenarios.In particular, we focus on scenes where traditionalcorrelation-based methods would fail.