@article{oai:repo.qst.go.jp:00043382,
 author = {Tomitani, Takehiro and Hirasawa, Masahiko and 富谷 武浩 and 平澤 雅彦},
 journal = {IEEE Transactions on Nuclear Science},
 month = {Oct},
 note = {Since the integration of gamma rays on a cone is measured with Compton cameras, some sort of image reconstruction method is necessary. Parra developed an analytical reconstruction algorithm based on a spherical harmonics expansion of projection data that covers the entire scattering-angle range. The measurable scattering-angle range is limited due to the electrical noise of the detector and due to the finite detector configuration. In this article, a reconstruction algorithm from the projection of a limited scattering-angle range is presented. The algorithm is based on an inversion of the summed backprojection. The variance of the reconstructed image of a uniform source was calculated and is proportional to the third power of the number of expansion terms. Thus, window functions were introduced to suppress noise at the cost of spatial resolution. The dependency of the spatial resolution on the number of expansion terms was analyzed. The dependency of the variance on the spatial resolution was found to be that the variance is inversely propotional to the spatial resolution cubed.},
 pages = {1602--1608},
 title = {Analytical image reconstruction of cone-beam projections from limited angle Compton camera data},
 volume = {50},
 year = {2003}
}