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Multiview reconstruction of space curves

På svenska

Author

  • Fredrik Kahl
  • Jonas August

Summary, in English

Is the real problem in resolving correspondence using current stereo algorithms the lack of the "right" matching criterion? In studying the related task of reconstructing three-dimensional space curves from their projections in multiple views, we suggest that the problem is more basic: matching and reconstruction are coupled, and so reconstruction algorithms should exploit ths rather than assuming that matching can be successfully performed before reconstruction. To realize this coupling, a generative model of curves is introduced which has two key components: (i) a prior distribution of general space curves and (ii) an image formation model whch discribes how 3D curves are projected onto the image plane. A novel aspect of the image formation model is that it uses an exact description of the gradient field of a piecewise constant image. Based on this forward model, a fully automatic algorithm for solving the inverse problem is developed for an arbitrary number of views. The resulting algorithm is robust to partial occlusion, deficiencies in image curve extraction 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 traditional correlation-based methods would fail.

Publishing year

2003

Language

English

Pages

1017-1024

Publication/Series

Proceedings of the IEEE International Conference on Computer Vision

Volume

2

Document type

Conference paper

Publisher

IEEE - Institute of Electrical and Electronics Engineers Inc.

Topic

  • Mathematics

Keywords

  • Stereo algorithms
  • Piecewise constant image
  • Curve extraction

Conference name

IEEE INTERNATIONAL CONFERENCE ON COMPUTER VISION, 2003

Conference date

2003-10-13 - 2003-10-16

Conference place

Nice, France

Status

Published

ISBN/ISSN/Other

  • CODEN: PICVES