The desire to recover the unknown density when data are contaminated with errors leads to nonparametric deconvolution problems. The difficulty of deconvolution depends on both the smoothness of error distribution and the smoothness of the priori. Under a general class of smoothness constraints, we show that deconvolution kernel density k-l estimates achieve the best attainable global rates of c...

In this study, we investigated the effect of viewpoint density and speed of motion on perceived smoothness of viewpoint transitions. The effect of viewpoint density was examined for two types of viewer motion: forward and lateral motion. In both cases, we found that perceived smoothness varies with viewpoint density. We also found the number of viewpoints required to maintain a certain level of...

The main purpose of the paper is to study sharp estimates of approximation of periodic functions in the Hölder spaces H p for all 0 < p ≤ ∞ and 0 < α ≤ r. By using modifications of the classical moduli of smoothness, we give improvements of the direct and inverse theorems of approximation and prove the criteria for the precise order of decrease of the best approximation in these spaces. Moreove...