3D Reconstruction from Sparse Radiographic Data
Nondestructive evaluation of materials through X-ray and -y-ray radiography has long been achieved by inferring three-dimensional structure from exposed films. Multiple views with varying positions of radioactive sources and the film have the potential for direct three-dimensional tomographic reconstruction for more detailed diagnosis of material flaws. The data are sufficiently sparse, however, to leave the reconstruction badly under-specified, requiring regularization and/ or constraints to achieve meaningful results. In this chapter we discuss and illustrate the application of Bayesian binary 3D tomographic reconstruction to radiographs, including the several non-idealities frequently encountered in the field.
KeywordsPhoton Count Markov Random Field Posteriori Probability Tomographic Reconstruction Center Slice
Unable to display preview. Download preview PDF.
- R. Halmshaw, Industrial Radiography: Theory and Practice (Applied Science Publishers, London), 1982.Google Scholar
- L. E. Bryant, P. McIntire, and R. C. McMaster (Eds.), Nondestructive Testing Handbook,2Edition (American Society for Nondestructive Testing, Columbus, Ohio), 1985, Volume 3.Google Scholar
- S. Gautier, J. Idier, A. Mohammad-Djafari, and B. Lavayssière, “X-ray and ultrasound data fusion,” In Proc. IEEE Int’l Conf. Image Proc., (IEEE, Piscataway, NJ), pp. (III)366-(III)369, 1998.Google Scholar
- G. T. Herman, Image Reconstruction from Projections: The Fundamentals of Computerized Tomography (Academic Press, New York), 1980.Google Scholar
- E. Segre, Nuclei and Particles (W. A. Benjamin, Reading, MA), 1977.Google Scholar
- J. Besag, “On the statistical analysis of dirty pictures,” J. Roy. Statist. Soc. B 48 259–302 (1986).Google Scholar
- M. Soumekh, “Binary image reconstruction from four projections,” In Proc. IEEE Int’l Conf. Acoust., Speech and Sig. Proc., (IEEE, New York), pp. 1280–1283, 1988.Google Scholar
- J. M. Dinten, “Tomographie à partir d’un nombre très limité de projections, regularisation par des champs markoviens,” Doctoral Thesis, University of Paris XI (1990).Google Scholar
- C. Klifa and B. Lavayssière, “3D reconstruction using a limited number of projections,” In Proc. SPIE Conf. Vis. Comm. and Im. Proc., (SPIE, Bellingham, WA), pp. 443–454, 1990.Google Scholar
- C. Klifa, “Reconstruction tridimensionelle d’objets à partir d’un nombre très limité de projections: Application à la radiographie industrielle,” Ph.D. Thesis, Telecom Paris (1991).Google Scholar