a simple but novel and applicable approach is proposed to solve the problem of smoothing effect of ordinary kriging estimate which is widely used in mining and earth sciences. it is based on transformation equation in which z scores are derived from ordinary kriging estimates and then rescaled by the standard deviation of sample data and the sample mean is added to the result. it bears the grea...

This paper deals with nonparametric estimation of a regression curve, where the estimation method should preserve possible jumps in the curve. At each point x at which one wants to estimate the regression function, the method chooses in an adaptive way among three estimates: a local linear estimate using only datapoints to the left of x, a local linear estimate based on only datapoints to the r...

This paper proposes a classical weighted least squares type of local polynomial smoothing for the analysis of clustered data, with the key idea of using generalised inverses of correlation matrices. The estimator has a simple closed-form expression. Simplicity is achieved also for nonparametric generalised linear models with arbitrary link function via a transformation. Our approach can be char...

INTRODUCTION Filtering is a preliminary process in many medical image processing applications, which is aimed at restoring a noise-corrupted image to its noiseless counterpart. Post-processing tasks, e.g., visualization, segmentation and quantification, may benefit from the reduction of noise. Diffusion equations with scalar-valued and tensor-valued diffusivities [1] and non-linear filters [2] ...

This note summarizes the results in [1, 3, 2] on the construction of parallel local multigrid methods. In addition, we present an extended formalization of the adaptive data structure in order to describe precisely the requirements for adaptive multigrid methods with local smoothing for general finite element discretizations. Based on this formalization algorithms can be defined, developed, and...

Visual tasks often require a hierarchical representation of shapes and images in scales ranging from coarse to ne. A variety of linear and nonlinear smoothing techniques, such as Gaussian smoothing, anisotropic di usion, regularization, etc. , have been proposed, leading to scalespace representations. We propose a geometric smoothing method based on local curvature in shapes and images. This de...