Abstract
The main task of medical 3D reconstruction is to build accurately an isotropic volume consisting of cubic voxels from 2D serial cross sections. However, the spacing between the slices is typically much greater than the size of a pixel within the slice. Therefore, interpolation between the slices is of great importance. This paper presents a new kind of contour interpolation method in order to overcome the drawbacks of the existing methods. It assumes being applied after a segmentation step extracting the contours, and after a contour association step in order to avoid pathological cases. Moreover, it is based on the geodesic metric instead of Euclidean metric, and allows the interpolation of complex contours with concavities.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Macagno, E.R., Levinthal, C., Sobel, I.: Three dimensional computer reconstruction of neurons and neuronal assemblies. Ann. Rev. Biophys. Bioeng. 8 (1979) 323–351
Burton, P.R.: Computer assisted three-dimensional reconstruction of the ultrastructure of the frog olfactory axon. Norelco Rep. 32 (1985) 1–10
Migeon, B., Marché, P.: in vitro 3D reconstruction of long bones using B-scan image processing. Medical & Biological Engineering & Computing. 35 (1997) 369–372
Bloch, P., Udupa, K.: Application of computerized tomography to radiation therapy and surgical planning. In Proc. of IEEE. 71 (1983) 351–372
Cutting, C., Grayson, D.D.S., Bookstein, F., Fellingham, L., McCarthy, J.G.: Computer-aided planning and evaluation of facial and orthognathic surgery. Comput. Plastic Surg. 13 (1986) 449–462
Lin, W.C., Liang, C.C., Chen, C.T.: Dynamic elastic interpolation for 3D medical image reconstruction from serial cross sections. IEEE Trans Medical Imaging. 7 (1988) 225–232
Chen, S.Y., Lin, W.C., Liang, C.C., Chen, C.T.: Improvement on dynamic elastic interpolation technique for reconstructing 3D objects from serial cross-sections. IEEE Trans. Med. Imaging. 9 (1990) 71–83
Raya, S.P., Udupa, J.K.: Shape-based interpolation of multidimensional objects. IEEE Trans. Medical Imaging. 9 (1990) 32–42
Herman, G.T., Zheng, J.S., Bucholtz, C.A.: Shape-based interpolation. IEEE CG&A. 12 (1992) 69–79
Migeon, B., Vieyres, P., Marché, P.: Interpolation of star-shaped contours for the creation of lists of voxels. Application to 3D visualisation of long bones. Int. J. CADCAM Comput. Graph. 9 (1994) 579–587
Dufrenois, F., Durin, H., Reboul, S., Dubus, J.P.: Contour interpolation using snakes. Application to 3D reconstruction from tomograph images. Innov. Tech. Biol. Med. 16, (1995)
Migeon, B., Deforge, P., Marché, P.: A contour association method for the 3D reconstruction of long bones obtained with the URTURIP Technique. In Proc. of IEEE EMBS (1998)
Cormen, T.; Leiserson, C.; Rivest; R.: Introduction to Algorithms. Mc Graw Hill. (1990)
Kimmel, R., Amir, A. Burckstein.: Finding shortest paths on surfaces using level sets propagation. IEEE Trans. on PAMI. 17 (1995) 635–640
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Migeon, B., Boissé, F., Deforge, P., Marché, P. (1999). Geodesic Path Based Interpolation Using Level Sets Propagation. In: Solina, F., Leonardis, A. (eds) Computer Analysis of Images and Patterns. CAIP 1999. Lecture Notes in Computer Science, vol 1689. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48375-6_35
Download citation
DOI: https://doi.org/10.1007/3-540-48375-6_35
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-66366-9
Online ISBN: 978-3-540-48375-5
eBook Packages: Springer Book Archive