Image reconstruction via the finite Hilbert transform of the derivative of the backprojection.

Comment on "Image reconstruction via the finite Hilbert transform of the derivative of the backprojection" [Med. Phys. 34, 2837-2843 (2007)].

Truncated Hilbert transform and image reconstruction from limited tomographic data

A data sufficiency condition for 2D or 3D region-of-interest (ROI) reconstruction from a limited family of line integrals has recently been introduced using the relation between the backprojection of a derivative of the data and the Hilbert transform of the image along certain segments of lines covering the ROI. This paper generalizes this sufficiency condition by showing that unique and stable...

Towards an Efficient Two-Step Hilbert Algorithm for Helical Cone-Beam CT

We investigate helical cone-beam reconstruction using differentiated backprojection on π-lines and a subsequent inverse Hilbert transform. We report in particular on an implementation scheme that allows efficient reconstruction in the geometry of current Multi-Slice-CT scanners. This scheme is based on reconstruction on “theoretical” π-lines (π-lines that would have been measured in a continuou...

Block-Based Compressive Sensing Using Soft Thresholding of Adaptive Transform Coefficients

Compressive sampling (CS) is a new technique for simultaneous sampling and compression of signals in which the sampling rate can be very small under certain conditions. Due to the limited number of samples, image reconstruction based on CS samples is a challenging task. Most of the existing CS image reconstruction methods have a high computational complexity as they are applied on the entire im...

A Unified Framework for Delineation of Ambulatory Holter ECG Events via Analysis of a Multiple-Order Derivative Wavelet-Based Measure

In this study, a new long-duration holter electrocardiogram (ECG) major events detection-delineation algorithm is described which operates based on the false-alarm error bounded segmentation of a decision statistic with simple mathematical origin. To meet this end, first three-lead holter data is pre-processed by implementation of an appropriate bandpass finite-duration impulse response (FIR) f...