In this paper, we present an approach for image reconstruction from local phase vectors in the monogenic scale space. The local phase vector contains not only the local phase but also the local orientation of the original signal, which enables the simultaneous estimation of the structural and geometric information. Consequently, the local phase vector preserves a lot of important information of...

This study aims at comparing simulation-based approaches for estimating both the state and unknown parameters in nonlinear state-space models. Numerical results on different toy models show that combination of a Conditional Particle Filter (CPF) with Backward Simulation (BS) smoother Stochastic Expectation-Maximization (SEM) algorithm is promising approach. The CPFBS run small number particles ...

This work solves the signal reconstruction problem involving nonuniform filter bank systems with rational decimation factors and noises. Three main nonuniform filter bank systems, i.e., filter-block decimator (FBD) structure, upsamplerfilter-downsampler (UFD) structure, and tree structure, are included in this study. According to different operating conditions, two different signal reconstructi...

We note similarities of the state space reconstruction (\Embedology") practiced in numerical work on chaos, state space methods of stochastic systems theory, and the hidden Markov models (HMMs) used in speech research. We review Baum's EM algorithm in general and the speciic forward-backward algorithm that optimizes a class of HMM that has a mixed state space consisting of continuous and discre...

Dynamic PET image reconstruction is a challenging issue due to the low SNR and the large quantity of spatio-temporal data. We propose a robust state-space image reconstruction (SSIR) framework for activity reconstruction in dynamic PET. Unlike statistically-based frame-by-frame methods, tracer kinetic modeling is incorporated to provide physiological guidance for the reconstruction, harnessing ...

Time series analysis is a statistical analysis of sequences of data, where temporal correlations are to be characterized and interpreted. Depending on the hypothesis about the source of such correlations, different techniques can be employed. In this talk we focus on the reconstruction of vector valued auxillary spaces from the observed data, which serve as a state space for the dynamics of the...

Recently, many 3D contents production tools using multiview system has been introduced: e.g., depth estimation, 3D reconstruction and so forth. However, there is color mismatch problem in multiview system and it can cause big differences for the final result. In this paper we propose a color correction method using 3D multi-view geometry. The propose method finds correspondences between source ...

We consider the problem of reconstructing global quantum states from local data. Because the reconstruction problem has many solutions in general, we consider the reconstructed state of maximum global entropy consistent with the local data. We show that unique ground states of local Hamiltonians are exactly reconstructed as the maximal entropy state. More generally, we show that if the state in...