3D Visualization of Computed Tomography Using Transport and Diffusion Equations
Abstract
A visualization of the result of a computerized tomographic (CT) exam in 3D increases the quality of the medical diagnosis. To obtain a high quality 3D image it is necessary to obtain slices (the CT result) which are close to each other. Partial Differential Equations have been used to fill in the damaged regions in a digital image. Inspired by this idea, this article proposes an interpolation method for filling empty regions between the real CT slices, therefore creating virtual slices, permitting the reconstruction of the structure in three dimensions, mapped onto the exam. Results show that the proposed method is capable of reconstructing the curvatures of the patient’s internal structures.References
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Barcelos, C. and Batista, M. (2007). Image restoration using digital inpainting and noise. In Image and Vision Computing, number 25, pages 61–69.
Barcelos, C., Boaventura, M., and Silva Jr, E. (2003). A well-balanced flow equation for noise removal and edge detection. In IEEE Transactions On Image Processing, volume 12, pages 751–763.
Bertalmío, M., Sapiro, G., Caselles, V., and Ballester, C. (2000). Image inpainting. In Proceedings of SIGGRAPH 2000, New Orleans, USA, pages 417–424.
Bors, G. A., Kechagias, L., and Pitas, L. (2002). Binary morphological shape-based interpolation applied to 3-d tooth reconstruction. In IEEE Transactions on Medical Imagining, volume 21, pages 100–108.
Goshtasby, A., Turner, D., and Ackerman, L. (1992). Matching of tomographic slices for interpolation. In IEEE Transaction on Medical Imaging, volume 11, pages 507–516.
Osher, S. and Sethian, J. (1988). Fronts propagating with curvature-dependent speed: Algorithms based on hamilto-jacobi formulations. In Journal of Computational Phisics, number 79, pages 12–49.
Wang, Y., Zhang, Z., and Guo, B. (2001). 3d image interpolation based on directional coherence. In IEEE Workshop on Mathematical Methods in Biomedical Image Analysis, pages 195–202.
Published
2008-07-12
How to Cite
PIRES, Sandrerley Ramos; FLÔRES, Edna Lúcia; BARCELOS, Célia Aparecida Zorzo.
3D Visualization of Computed Tomography Using Transport and Diffusion Equations. In: BRAZILIAN SYMPOSIUM ON COMPUTING APPLIED TO HEALTH (SBCAS), 8. , 2008, Belém/PA.
Anais [...].
Porto Alegre: Sociedade Brasileira de Computação,
2008
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p. 213-222.
ISSN 2763-8952.
