Mathematics

  2010 MAR 23 - (VerticalNews.com) -- "Shape estimation and object reconstruction are common problems in image analysis. Mathematically, viewing objects in the image plane as random sets reduces the problem of shape estimation to inference about sets," scientists writing in the Journal of Mathematical Imaging and Vision report.

  "Currently existing definitions of the expected set rely on different criteria to construct the expectation. This paper introduces new definitions of the expected set and the expected boundary, based on oriented distance functions. The proposed expectations have a number of attractive properties, including inclusion relations, convexity preservation and equivariance with respect to rigid motions. The paper introduces a special class of decomposable oriented distance functions for parametric sets and gives the definition and properties of decomposable random closed sets. Further, the definitions of the empirical mean set and the empirical mean boundary are proposed and empirical evidence of the consistency of the boundary estimator is presented. In addition, the paper discusses loss functions for set inference in frequentist framework and shows how some of the existing expectations arise naturally as optimal estimators," wrote H.K. Jankowski and colleagues, University of Washington ...read more

  2010 MAR 23 - (VerticalNews.com) -- "In this paper, we show how interacting and occluding targets can be tackled successfully within a Gaussian approximation. For that purpose, we develop a general expansion of the mean and covariance of the posterior and we consider a first order approximation of it," scientists writing in the Journal of Mathematical Imaging and Vision report.

  "The proposed method differs from EKF in that neither a non-linear dynamical model nor a non-linear measurement vector to state relation have to be defined, so it works with any kind of interaction potential and likelihood. The approach has been tested on three sequences (10400, 2500, and 400 frames each one)," wrote C. Medrano and colleagues ...read more

  2010 MAR 23 - (VerticalNews.com) -- "Recently, active research has conducted on a new emerging video coding standard, scalable video coding (SVC), which adopts a layered coding scheme to generate a multi-layered bit stream for heterogeneous environments. One of the most important features of SVC is the utilization of inter layer prediction coding, and the coding efficiency will be greatly dependent on the design of the inter layer interpolation scheme," investigators in Beijing, People's Republic of China report ...read more