Comparison of Jump-Preserving Smoothing and Smoothing Based on Jump Detector

Jump-preserving regression and smoothing using local linear fitting: a compromise∗

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...

Structure Preserving Image Smoothing

Edge-Preserving and Peak-Preserving Smoothing

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Smoothing Preserving Discontinuity Based on Alternative Models of Parameter Development

This paper presents experiments with tracking time{varying parameters of a dynamic system applied to parameter estimation and smoothing of piecewise continuous function. The smoothing algorithm is based on bayesian computation of the probability distribution over the set of alternative hypotheses describing a set of alternative models of expected (possible) parameter development. The sequence o...

Roof-edge preserving image smoothing based on MRFs

A novel Markov random field (MRF) model is proposed for roof-edge (as well as step-edge) preserving image smoothing. Image surfaces containing roof-edges are represented by piecewise continuous polynomial functions governed by a few parameters. Piecewise smoothness constraint is imposed on these parameters rather than on the surface heights as is in traditional models for step-edges. In this wa...