High-order Total Variation Regularization Approach for Axially Symmetric Object Tomography from A Si

来源 :第八届工业与应用数学国际大会 | 被引量 : 0次 | 上传用户:szcbg
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  We consider Abel transform based density reconstruction for axially symmetric objects from a single radiograph by fan-beam x-rays.All contemporary methods assume that the density is piecewise constant or linear.This is quite a restrictive approximation.Our proposed model is based on high-order total variation regularization.Its main advantage is to reduce the staircase effect and enable the recovery of smoothly varying regions.We compare our model with other potential methods by giving numerical tests.
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