3D Curves Reconstruction Based on Deformable Models

Journal of Mathematical Imaging and Vision - Tập 18 - Trang 211-223 - 2003
Catalina Sbert1, Andreas F. Solé2
1Departament de Matemàtiques i Informàtica, Universitat de les Illes Balears Crta de Valldemossa, Palma de Mallorca, Spain
2Universitat Pompeu Fabra, Barcelona, Spain

Tóm tắt

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.

Tài liệu tham khảo

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