For the problems of nonparametric estimation of nonincreasing and symmetric unimodal density functions with bounded supports we determine the projections of estimates onto the convex families of possible parent densities with respect to weighted integrated squared error. We also describe the method of approximating the analogous projections onto the respective density classes satisfying some ge...

The distribution of errors is a central object in the assesment and benchmarking computational chemistry methods. popular often blind use mean unsigned error as statistic leads to ignore distributions features that impact reliability tested We explore how Gini coefficient offers global representation distribution, but, except for extreme values, does not enable an unambiguous diagnostic. propos...

A posteriori error estimates are derived in the context of two-dimensional structural elastic shape optimization under the compliance objective. It is known that the optimal shape features are microstructures that can be constructed using sequential lamination. The descriptive parameters explicitly depend on the stress. To derive error estimates the dual weighted residual approach for control p...

Problem statement: A generalized skeleton transform allows a shape to be represented as a collection of modestly overlapped octagonal shape parts. One problem with several generalized Morphological skeleton transforms is that they generate noise after decomposition. The noise rate may not be effective for ordinary images; however this effect will be more when applied on printed or handwritten c...

In this paper, we present a detailed model and analysis of several error sources and thier effects on measuring three-dimensional (3D) surface properties using the structured lighting technique. The analysis is based on a general system configuration and identifies three types of error surces-system modeling error, image processing error and experimental error. Absolute and relative error bound...

Traditional shape from silhouette methods compute the 3D shape as the intersection of the back-projected silhouettes in the 3D space, the so called visual hull. However, silhouettes that have been obtained with background subtraction techniques often present miss-detection errors (produced by false negatives or occlusions) which produce incomplete 3D shapes. Our approach deals with miss-detecti...

The present paper proposes a simultaneous estimation of both human head pose and shape. When head pose is estimated for a generic face model, a considerable estimation error is generated by the shape difference between the model and the target face. In the proposed framework, a specific face model is gradually created for the target face by deforming the generic model based on an error analysis...