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Reconstructing Open Surfaces from Image Data

På svenska

Author

Summary, in English

In this paper a method for fitting open surfaces to data obtained from images is presented using a level set representation of the surface. This is done by tracking a curve, representing the boundary, on the implicitly defined surface. This curve is given as the intersection of the level set describing the surface and an auxiliary level set. These two level sets are propagated using the same motion vector field. Special care has to be taken in order for the surfaces not to intersect at other places than at the desired boundary. Methods for accomplishing this are presented and a fast scheme for finding, initial values is proposed. This method gives a piecewise linear approximation of the initial surface boundary using a partition of the convex hull of the recovered 3D data. With the approach described in this paper, open surfaces can be fitted to e.g. point clouds obtained using structure from motion techniques. This paper solves an important practical problem since in many cases the surfaces in the scene are open or can only be viewed from certain directions. Experiments on several data sets support the method.

Publishing year

2006

Language

English

Pages

267-275

Publication/Series

International Journal of Computer Vision

Volume

69

Issue

3

Document type

Journal article

Publisher

Springer

Topic

  • Mathematics

Keywords

  • variational methods
  • level set method
  • computer vision
  • multiple view
  • stereo
  • structure from motion

Status

Published

ISBN/ISSN/Other

  • ISSN: 1573-1405