Search Contact information
University of Cambridge Home Department of Engineering
University of Cambridge > Engineering Department > Machine Intelligence Lab

Abstract for weber_scaleSpace2005

Proc. Int. Conf. on Scale Space and PDE Methods in Computer Vision, LNCS 3459, Springer, pages 548-560, Hofgeismar, Germany


Martin Weber, Andrew Blake and Roberto Cipolla

April 2005

Level-Set methods have been successfully applied to 2D and 3D boundary detection problems. The geodesic active contour model has been particularly successful. Several algorithms for the discretisation have been proposed and the banded approach has been used to improve efficiency, which is crucial in 3D boundary detection. In this paper we propose a new scheme to numerically represent and evolve surfaces in 3D. With the new scheme, efficiency and accuracy are further improved. For the representation, space is partitioned into tetrahedra and finite elements are used to define the level-set function. Extreme sparsity is obtained by maintaining data only for tetrahedra that contain the zero level-set. We formulate the evolution PDE in weak form and incorporate a normalisation term. We obtain a stable scheme with consistent sub-grid accuracy without having to rely on any re-initialisation procedure. Boundary detection is performed using an anisotropic extension of the isotropic geodesic model. With the sparse representation, the anisotropic model is computationally feasible. We present experimental results on volumetric data sets including images with a significant amount of noise.

| (ftp:) weber_scaleSpace2005.pdf | (http:) weber_scaleSpace2005.pdf | (ftp:) | (http:) |

If you have difficulty viewing files that end '.gz', which are gzip compressed, then you may be able to find tools to uncompress them at the gzip web site.

If you have difficulty viewing files that are in PostScript, (ending '.ps' or '.ps.gz'), then you may be able to find tools to view them at the gsview web site.

We have attempted to provide automatically generated PDF copies of documents for which only PostScript versions have previously been available. These are clearly marked in the database - due to the nature of the automatic conversion process, they are likely to be badly aliased when viewed at default resolution on screen by acroread.

© 2005 Cambridge University Engineering Dept
Information provided by milab-maintainer