In SPECT, regularization is necessary to avoid divergence of the iterative algorithms used for non uniform attenuation compensation. In this paper, we propose a spline-based regularization method for the minimal residual algorithm. First, the acquisition noise is filtered using a statistical model involving spline smoothing so that the filtered projections belong to a Sobolev space with specifi...

It is vital to accurately map the spatial distribution of precipitation, which widely used in many fields such as hydrology, climatology, meteorology, ecology, and agriculture. This study aimed reveal seasonal, long-term average precipitation Euphrates Basin with various interpolation methods. For this reason, Simple Kriging, Ordinary Universal CoKriging, Empirical Bayesian Radial Basis Functio...

This study was conducted to compare the performance of three different spatial analysis models: Inverse Distance Weighted (IDW), Ordinary Kriging,­­ and Regularized Spline interpolation technique determine best fit model representing Peak Ground Acceleration (PGA) in West Java Province, Indonesia. The models are commonly used visualization, but have calculation methods. calculations were perfor...

Differential phase contrast imaging using grating interferometer is a promising alternative to conventional X-ray radiographic methods. It provides the absorption, differential phase and scattering information of the underlying sample simultaneously. Phase retrieval from the differential phase signal is an essential problem for quantitative analysis in medical imaging. In this paper, we formali...

This paper presents a new regularized kernel-based approach for the estimation of the second order moments of stationary stochastic processes. The proposed estimator is defined by a Tikhonov-type variational problem. It contains few unknown parameters which can be estimated by cross validation solving a sequence of problems whose computational complexity scales linearly with the number of noisy...

The denoising of Lagrangian trajectories based on regularized B-spline is investigated. aim to find systematic criteria for optimization algorithms used in 4D-PTV order optimize the quality measurements turbulent flows as well high-order turbulence statistics. We introduce and adapt this context two innovative tuning strategies which are commonly Tikhonov regularization inverse problems L-curve...

We propose a locally regularized snake based on smoothing-spline filtering. The proposed algorithm associates a regularization process with a force equilibrium scheme leading the snake’s deformation. In this algorithm, the regularization is implemented with a smoothing of the deformation forces. The regularization level is controlled through a unique parameter that can vary along the contour. I...