A method is presented for the reconstruction of both the background and signal in invariant-mass analyses for two-photon decays. The procedure does not make use of event mixing techniques and as such is based exclusively on an event-by-event analysis. Consequently, topological correlations of the event (e.g. jet structures) are automatically taken into account. By means of the decay process π →...

We consider non-ideal sampling and reconstruction schemes in which the sampling and reconstruction spaces as well as the input signal can be arbitrary. To obtain a good reconstruction of the signal in the reconstruction space from arbitrary samples, we suggest processing the samples prior to reconstruction with a linear transformation that is designed to minimize the worst-case squarednorm erro...

The trace reconstruction problem is to reconstruct a string x of length n given m random subsequences where each subsequence is generated by deleting each character of x independently with probability p. Two natural questions are a) how large must m be as a function of n and p such that reconstruction is possible with high probability and b) how can this reconstruction be performed efficiently....

In some signal reconstruction problems, the observation equations can be used as a priori information for selecting the best combination of observations before acquiring them. In this paper, we de ne a selection criterion and propose e cient methods for optimizing the criterion with respect to the combination of observations. Our examples illustrate the value of optimized sampling using the pro...

Objective(s): In order to evaluate the effect of post-reconstruction Gaussian filtering on image quality and myocardial blood flow (MBF) measurement by dynamic N-13 ammonia positron emission tomography (PET), we compared various reconstruction and filtering methods with image characteristics. Methods: Dynamic PET images of three patients with coronary artery disease (male-female ratio of 2:1; a...

An algorithm for the image dependent control of the camera viewpoint is presented, which is applied to the automatic reconstruction of 3D objects. For computer animation applications, ”shape from silhouettes” using equally distributed viewpoints is an often used reconstruction technique. With respect to the local reconstruction errors, the use of equally distributed camera views is unfavourable...

A critical task in graph signal processing is to estimate the true from noisy observations over a subset of nodes, also known as reconstruction problem. In this paper, we propose node-adaptive regularization for reconstruction, which surmounts conventional Tikhonov regularization, giving rise more degrees freedom; hence, an improved performance. We formulate denoising problem, study its bias-va...