Adaptive wavelet-Galerkin methods for limited angle tomography

摘要: This paper studied incomplete data problems of computed tomography that frequently occur in medical or industrial imaging, for example, when the high-density region objects can only be penetrated by X-rays at a limited angular range. When projection are available an range, problem attributed to angle problem, which is severely ill-posed inverse problem. In this paper, numerical method treatment based on adaptive wavelet-Galerkin introduced and investigated. The focuses especially how avoid crimes simulations. used here combines simplicity characteristics adapting unknown smoothness reconstructed image, leads significant reduction computational cost. reconstruction strategy has comparable performance with time.