We develop a discrete extension operator for trimmed spline spaces consisting of piecewise polynomial functions degree p with k continuous derivatives. The construction is based on from neighboring elements together projection back into the space. prove stability and approximation results operator. Finally, we illustrate how can use to construct stable cut isogeometric method an elliptic model ...

We study empirical Bayes estimation of the effect sizes N units from K noisy observations on each unit. show that it is possible to achieve near-Bayes optimal mean squared error, without any assumptions or knowledge about size distribution noise. The noise can be heteroscedastic and vary arbitrarily unit Our proposal, which we call Aurora, leverages replication inherent in per recasts problem a...

HYPOTHESIS Expert levels can be developed for use as training end points for a basic video-trainer skills curriculum, and the levels developed will be suitable for training. DESIGN Fifty subjects with minimal prior simulator exposure were enrolled using an institutional review board-approved protocol. As a measure of baseline performance, medical students (n = 11) and surgery residents (n = 3...

The traditional constant false alarm rate (CFAR) method, with fixed parameter settings and single noise background calculation, is unable to intelligently catch the current detection background. To improve performance of CFAR this paper proposes a target method based on decision tree classification (DTC) for high-frequency surface wave radar (HFSWR). Firstly, training sample set labels are obta...

The goal of this master thesis is to study, compare, and improve existing approaches for direct ray tracing trimmed NURBS surfaces. In order to be able to study the topic efficiently, a library for NURBS evaluation has been implemented. The library is supposed to be easily integrated in any ray tracing application to make it support direct ray tracing trimmed NURBS surfaces.

An algorithm of polygonization of trimmed implicit surfaces yielding surface sheets is presented. These twodimensional manifolds with boundaries result from the set-theoretic difference of an implicit surface and a solid. The algorithm generates the polygonal approximation of the trimmed surface with the mesh adaptation to the manifold boundary.