Nonlinear total variation based noise removal algorithms
Proceedings of the eleventh annual international conference of the Center for Nonlinear Studies on Experimental mathematics : computational issues in nonlinear science: computational issues in nonlinear science
High-Order Total Variation-Based Image Restoration
SIAM Journal on Scientific Computing
Iterative Image Restoration Combining Total Variation Minimization and a Second-Order Functional
International Journal of Computer Vision
Image Processing And Analysis: Variational, Pde, Wavelet, And Stochastic Methods
Image Processing And Analysis: Variational, Pde, Wavelet, And Stochastic Methods
A unified approach to statistical tomography using coordinate descent optimization
IEEE Transactions on Image Processing
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Exposure to medical radiation is an important healthcare concern. In this paper we present a variational formulation for image reconstruction from low-dose transmission X-ray CT as well as its application to real clinical data. Our projection domain reconstruction method is based on high-order total variation penalties. We apply the method to clinical neck data obtained from a current 64-channel MDCT helical scanner, where small features and large dynamic range variation are pervasive. The ability to generate high-quality images even at 75% dose reduction is demonstrated. In particular, our approach exhibits image SNR comparable to full-dose filtered backprojection images while avoiding the obvious stair case and blockiness artifacts typically encountered in such methods.