The approximate inverse is a powerful tool for solving first kind operator equations in a stable way. Its abstract convergence and stability theory developed in our articles [SIAM J. Numer. Anal., 37, 1909-1929,2000] and [Math. Comp., 72, 1399-1415, 2003] is applied to the reconstruction problem of 3D-vector field tomography resulting in a reconstruction algorithm of filtered backprojection typ...

We have developed an image quality theory for reconstruction that we apply to filtered back-projection (FBP) and statistical reconstruction (OSEM) for Single Photon Emission Computed Tomography (SPECT). Quantitative measures of reconstruction performance are given in terms of signal and noise power spectra, SPS and NPS, that we derive from phantom images. This allows evaluating the properties o...

In wireless body sensor network (WBSN), the set of electrocardiograms (ECG) data which is collected from nodes and transmitted to server remotely supports experts monitor health a patient. However, due size ECG data, performance signal compression reconstruction degraded. For efficient transmission compressive sensing (CS) frame work plays significant role recently in WBSN. So, this focuses pre...

The electrocardiogram (ECG) is widely used for the diagnosis of heart diseases. However, ECG signals are easily contaminated by different noises. This paper presents efficient denoising and compressed sensing (CS) schemes based on basis pursuit (BP). In process signal reconstruction, low-pass filtering method alternating direction multipliers (ADMM) optimization algorithm used. introduces dual ...