Abstract
The approximate nature of the Feldkamp–Davis–Kress (FDK) algorithm for circular cone-beam tomography motivates the error estimation in the reconstruction of three-dimensional (3D) objects. This algorithm is based on 3D cone-beam backprojection and 1D band-limiting filtering. The use of different window functions along with band-limiting filter in the convolution step of this algorithm lead to different reconstructions for the same projection data set, and a theoretical error gets incorporated in the reconstruction process. The present study is an attempt to understand this error in the reconstructed images from FDK algorithm using 3D version of “First Kanpur theorem” (KT-1). This theorem was proposed initially for error estimates in 2D reconstructions, and here it is extended to cone-beam volume reconstructions. The 3D version of KT-1 for circular cone-beam reconstructions is validated using industrial and medical numerical phantoms. It is then implemented on variety of real-life specimens. A characteristic signature is evolved as an application of the Kanpur Theorem (KT-1), which is a unique representation for a volumetric object. The preliminary obtained results are consistent and quite encouraging.
Published Version
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