Publication 1997 Issue No. 5 - May Abstract - Estimating the Viewing Parameters of Random, Noisy Projections of Asymmetric Objects for Tomographic Reconstruction
Estimating the Viewing Parameters of Random, Noisy Projections of Asymmetric Objects for Tomographic Reconstruction
May 1997 (vol. 19 no. 5)
pp. 417-430
 ASCII Text x Peter D. Lauren, N. Nandhakumar, "Estimating the Viewing Parameters of Random, Noisy Projections of Asymmetric Objects for Tomographic Reconstruction," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 19, no. 5, pp. 417-430, May, 1997.
 BibTex x @article{ 10.1109/34.589202,author = {Peter D. Lauren and N. Nandhakumar},title = {Estimating the Viewing Parameters of Random, Noisy Projections of Asymmetric Objects for Tomographic Reconstruction},journal ={IEEE Transactions on Pattern Analysis and Machine Intelligence},volume = {19},number = {5},issn = {0162-8828},year = {1997},pages = {417-430},doi = {http://doi.ieeecomputersociety.org/10.1109/34.589202},publisher = {IEEE Computer Society},address = {Los Alamitos, CA, USA},}
 RefWorks Procite/RefMan/Endnote x TY - JOURJO - IEEE Transactions on Pattern Analysis and Machine IntelligenceTI - Estimating the Viewing Parameters of Random, Noisy Projections of Asymmetric Objects for Tomographic ReconstructionIS - 5SN - 0162-8828SP417EP430EPD - 417-430A1 - Peter D. Lauren, A1 - N. Nandhakumar, PY - 1997KW - TomographyKW - pose estimationKW - motion analysisKW - 3D reconstruction.VL - 19JA - IEEE Transactions on Pattern Analysis and Machine IntelligenceER -

Abstract—The ability to determine the viewing parameters of objects from their projections has enabled well established tomographic techniques to be employed in the three-dimensional reconstruction of objects from images obtained via modalities where the orientation of the objects cannot be controlled. A method is described for the determination of the viewing parameters of randomly acquired projections of asymmetric objects. It extends upon the common lines algorithm by determining the relative orientation of projections from the location of lines of intersection among the Fourier transforms of the projections in three-dimensional Fourier space. A new technique for finding the lines of intersection in the presence of translational displacement, and for subsequently finding the translational displacement, is presented. The complete algorithm is described and its efficacy is demonstrated using real data. A new technique for dealing with noise is also discussed.

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Index Terms:
Tomography, pose estimation, motion analysis, 3D reconstruction.
Citation:
Peter D. Lauren, N. Nandhakumar, "Estimating the Viewing Parameters of Random, Noisy Projections of Asymmetric Objects for Tomographic Reconstruction," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 19, no. 5, pp. 417-430, May 1997, doi:10.1109/34.589202