Isogeometric analysis (IGA) is a novel computational approach recently developed by Hughes et al. [1]with the aim of integrating computer aided design (CAD) into structural analysis. It uses non uniform rational B-splines (NURBS) for both description of the geometry and approximation of thesolution field. NURBS are the most common basis functions in the CAD systems. Using CAD basis functions di...

Non-Uniform Rational B-Splines (NURBS) are widely used, especially in the design and manufacturing industry, for their precision and ability to represent complex shapes. These properties come at the cost of being computationally expensive for rendering. Many methods have tackled NURBS rendering by view based approximations and/or heavy preprocessing. We present a method for resolution independe...

Research on the integrated NC conceptual layout design (I-NCC) concerned with a broader area of interests. The key issues of I-NCC system are associated with NURBS and agent. Firstly, formulas for the derivatives and normal vectors of non-rational B-spline and NURBS are proved based on de BOOR’s recursive formula. Compared with the existing approaches targeting at the non-rational B-spline basi...

A NURBS-based isogeometric finite element formulation is developed and adopted to the free vibration analysis of finite square and skew laminated plates. Variable stiffness plies are assumed due to implementation of curvilinear fiberreinforcements. It is assumed due to employment of tow placement technology, in each ply of variable stiffness composite laminated plate the fiber reinforceme...

The problem of rendering large trimmed NURBS models at interactive frame rates is of great interest for industry, since nearly all their models are designed on the basis of this surface type. Most existing approaches first transform the NURBS surfaces into polygonal representation and subsequently build static levels of detail upon them, as current graphics hardware is optimized for rendering t...

In this investigation, we successfully employed the Non-Uniform Rational B-spline (NURBS) to study fracture mechanics. NURBS functions are very popular in design field (CAD model) and it is used as an alternative Lagrange interpolation polynomials. The extended isogeometric analysis based on basis function evaluate stress intensity factors (SIFs) order control crack propagation. For various len...

As a rule, an energy method is widely adopted for b-spline curve smoothing, but this method has the disadvantages such as massive calculation, computation complexity and low efficiency. Compared with the energy method, multi-resolution smoothing approaches nicely overcome these obstacles. Presently, some researches have been conducted on multi-resolution smoothing, but these efforts mainly aime...

In this project we numerically simulate electrophysiological models for cardiac applications by means of Isogeometric Analysis. Specifically, we aim at understanding the advantages of using high order continuous NURBS (Non-Uniform Rational B-Splines) basis functions in the approximation of the traveling waves of the action potential. As application, we consider the numerical simulations on the ...

Surface reconstruction is a very challenging step in Reverse Engineering. It generates a surface from point cloud acquired from a part surface. NURBS surfaces are commonly used for freeform surface reconstruction. There are several algorithms of NURBS surface reconstruction including: Least Squares Methods, simulated annealing, and particle swarm optimization. The major problem of these methods...