Title
3D Curves Reconstruction Based on Deformable Models
Abstract
We present a new method, based on curve evolution, for the reconstruction of a 3D curve from two different projections. It is based on the minimization of an energy functional. Following the work on geodesic active contours by Caselles et al. (in Int. Conf. on Pattern Recognition, 1996, Vol. 43, pp. 693–737), we then transform the problem of minimizing the functional into a problem of geodesic computation in a Riemann space. The Euler-Lagrange equation of this new functional is derived and its associated PDE is solved using the level set formulation, giving the existence and uniqueness results. We apply the model to the reconstruction of a vessel from a biplane angiography.
Year
DOI
Venue
2003
10.1023/A:1022821409482
Journal of Mathematical Imaging and Vision
Keywords
Field
DocType
geodesic active contours,curve evolution,medical images,deformable models
Uniqueness,Mathematical optimization,Biplane,Level set,Minification,Energy functional,Riemannian geometry,Mathematics,Geodesic,Computation
Journal
Volume
Issue
ISSN
18
3
1573-7683
Citations 
PageRank 
References 
2
0.42
9
Authors
2
Name
Order
Citations
PageRank
Catalina Sbert136842.20
Andreas F. Solé220.42