In this paper we develop a novel image processing technique to register two dimensional temporal mammograms for effective diagnosis and therapy. Our registration framework is founded upon triangular B-spline finite element method (TBFEM). In contrast to tensor-product B-splines, which is widely used in medical imaging, triangular B-splines are much more powerful, associated with many desirable ...

Prism elements arise in some printed circuit board modeling contexts, such as visualization and electromagnetic field modeling. Here we consider prisms built by extruding from triangular bases which result from constrained 2d Delaunay triangulation. The goal is to partition each extruded prism into sub-prisms of high quality that fit within the given printed circuit board layers. A prism qualit...

A three-dimensional chromatin state underpins the structural and functional basis of the genome by bringing regulatory elements and genes into close spatial proximity to ensure proper, cell-type-specific gene expression profiles. Here, we performed Hi-C chromosome conformation capture sequencing to investigate how three-dimensional chromatin organization is disrupted in the context of copy-numb...

We present a program package based on finite elements for twoand three-dimensional analysis of interconnect structures. Thereby, triangular and tetrahedral grid elements with quadratic shape functions are used. Two preprocessors allow a layer-based input of the simulation geometry and the specification of the boundary conditions. The main program calculates amongst other things the distribution...

The 13-atom metal clusters of fcc elements (Al, Rh, Ir, Ni, Pd, Pt, Cu, Ag, Au) were studied by density functional theory calculations. The global minima were searched for by the ab initio random structure searching method. In addition to some new lowest-energy structures for Pd13 and Au13, we found that the effective coordination numbers of the lowest-energy clusters would increase with the ra...

Several formulas for crossing functions arising in the continuum limit of critical two-dimensional percolation models are studied. These include Watts’s formula for the horizontal-vertical crossing probability and Cardy’s new formula for the expected number of crossing clusters. It is shown that for lattices where conformal invariance holds, they simplify when the spatial domain is taken to be ...

A triangular mesh in 3D is a decomposition of a given geometric domain into tetrahedra. The mesh is wellshaped if the aspect ratio of every of its tetrahedra is bounded from above by a constant. It is Delaunay if the interior of the circum-sphere of each of its tetrahedra does not contain any other mesh vertices. Generating a well-shaped Delaunay mesh for any 3D domain has been a long term outs...

in the present study, a spectral finite element method is developed for free and forced transverse vibration of levy-type moderately thick rectangular orthotropic plates based on first-order shear deformation theory. levy solution assumption was used to convert the two-dimensional problem into a one-dimensional problem. in the first step, the governing out-of-plane differential equations are tr...