Abstract
Spherically symmetric basis functions (blobs) are alternatives to the more conventional cubic voxels for image reconstruction in breast tomosynthesis. The volume representation and its projection views (PV) are essential components of iterative algorithms for image reconstruction from data collected from an area detector. This paper addresses the forward projection and backprojection process of three-dimensional (3D) breast reconstruction obtained from cone-beam scans using tomosynthesis imaging equipment. The smoothness of the blob elements allows more realistic modeling of the breast, and the rotational symmetry of the elements leads to more efficient calculation of both directional projection of the represented volume, as required in iterative reconstruction techniques. The combination of blob volume elements and the projection matrix method improves tomosynthesis reconstruction in both accuracy and speed.
This is a preview of subscription content, log in via an institution to check access.
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
Wu, T., Moore, R.H., et al.: A comparison of reconstruction algorithms for breast tomosynthesis. Med. Phys. 31(9), 2636–2647 (2004)
Mueller, K., Yagel, R., Wheller, J.J.: Fast implementations of algebraic methods for three-dimensional reconstruction from cone-beam data. IEEE Trans Med. Imaging 18(6), 538–548 (1999)
Siddon, R.L.: Fast calculation of the exact radiological path for a three-dimensional CT array. Med. Phys. 12(2), 252–255 (1985)
Lewitt, R.M.: Alternatives to voxels for image representation in iterative reconstruction algorithms. Phys. Med. Biol. 37(3), 705–716 (1992)
Galigekere, R.R., Wiesent, K., Holdsworth, D.W.: Cone-beam reprojection using projection-matrices. IEEE Trans Med. Imaging 22(10), 1202–1214 (2003)
Johns, P.C., Yaffe, M.J.: X-ray characterisation of normal and neoplastic breast tissues. Phys. Med. Biol. 32(6), 675–695 (1987)
Popescu, L.M., Lewitt, R.M.: Ray tracing through a grid of blobs. In: Nuclear Science Symposium Conference, pp. 3983–3986 (2004)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Wu, G., Mainprize, J.G., Yaffe, M.J. (2010). Breast Tomosynthesis Reconstruction Using a Grid of Blobs with Projection Matrices. In: MartÃ, J., Oliver, A., Freixenet, J., MartÃ, R. (eds) Digital Mammography. IWDM 2010. Lecture Notes in Computer Science, vol 6136. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13666-5_33
Download citation
DOI: https://doi.org/10.1007/978-3-642-13666-5_33
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-13665-8
Online ISBN: 978-3-642-13666-5
eBook Packages: Computer ScienceComputer Science (R0)