Key to successfully deal with complex contemporary datasets is the development of tractable models that account for irregular structure information at hand. This paper provides a comprehensive and unifying view several sampling, reconstruction, recovery problems signals defined on domains can be accurately represented by graph. The workhorse assumption (partially) observed modeled as output gra...

Detecting an anomaly in multichannel signal data is a challenging task various domains. It should take into account the cross-channel relationship and temporal within each channel. Moreover, high-dimensional making it difficult to gather sufficient abnormal labels. Consequently, unsupervised reconstruction-based detection methods have been applied successfully many studies. However, they lose v...

The frequency component compression method (FCCM) has been widely used in magnetic particle imaging (MPI) technology to improve reconstruction efficiency. This can reduce the time by using signal-to-noise ratio (SNR) feature remove high noise components. To further accelerate reconstruction, a dual-feature (DF-FCCM) was developed herein. A new energy spectral density (ESD) introduced describe l...

In this paper we present a time domain signal compression algorithm based on the coding of line segments which are used to approximate the signal. These segments are fit in a way that is optimal in the rate distortion sense. The approach is applicable to many types of signals, but in this paper we focus on the compression of ElectroCardioGram (ECG) signals. As opposed to traditional time-domain...

Generalized Hermite polynomials in two variables are employed f o r the reconstruction of images from a knowledge of their zero crossing contours. The problem of reconstruction of signals as functions of two variables is not a mere extension of that of a single variable. This is a consequence of the fact that the spatial and spectral characteristics of two-variable functions are quite distinct ...

We discuss the reproducing kernel structure in shift-invariant spaces and the weighted shift-invariant spaces, and obtain the reconstruction formula in time-warped weighted shift-invariant spaces, then apply them to a spline subspace. In the spline subspace, we give a reconstruction formula in a time-warped spline subspace. 1. Introduction. The problem of reconstruction of a function f has been...