We describe a new approach for constructing patient-specific vascular geometries suitable for isogeometric fluid and fluid-structure interaction analysis of blood flow in arteries. We use solid NURBS (non-uniform rational B-splines) to define vascular geometries as well to perform analysis. It is argued in this paper that this new approach is a viable alternative to the finite element method, w...

This paper presents localized and temporal control of release kinetics over 3-dimensional (3D) hybrid wound devices to improve wound-healing process. Imaging study is performed to extract wound bed geometry in 3D. Non-Uniform Rational B-Splines (NURBS) based surface lofting is applied to generate functionally graded regions. Diffusion-based release kinetics model is developed to predict time-ba...

We present a new approach to the construction of piecewise polynomial or rational C k-spline surfaces of arbitrary topological structure. The basic idea is to use exclusively parametric smoothness conditions, and to solve the well known problems at extraordinary points by admitting singular parametrizations. The smoothness of the spline surfaces is guaranteed by specifying a regular smooth re-p...

A NURBS (non-uniform rational B-splines)-based isogeometric fluid-structure interaction formulation, coupling incompressible fluids with nonlinear elastic solids, and allowing for large structural displacements, is developed. This methodology, encompassing a very general class of applications, is applied to problems of arterial blood flow modeling and simulation. In addition, a set of procedure...

Haptic rendering should not be limited to immobile polygonal models. This paper presents a system that performs Direct Parametric Tracing (DPT) on maneuverable Non-Uniform Rational B-Splines (NURBS) models without the use of an intermediate representation. The system distributes computation between an advanced CAD modeling system and a microprocessor controller for a Sarcos force-reeecting exo-...

Haptic rendering should not be limited to immobile polygonal models. This paper presents a system that performs Direct Parametric Tracing (DPT) on maneuverable Non-Uniform Rational B-Splines (NURBS) models without the use of an intermediate representation. The system distributes computation between an advanced CAD modeling system and a microprocessor controller for a Sarcos forcere ecting exo-s...

We present a Nitche’s method to couple non-conforming two and three-dimensional NURBS (Non Uniform Rational B-splines) patches in the context of isogeometric analysis (IGA). We present results for linear elastostatics in two and and three-dimensions. The method can deal with surface-surface or volume-volume coupling, and we show how it can be used to handle heterogeneities such as inclusions. W...

We consider the problem of reconstructing a curve or a surface from discrete noisy samples by approximating the point set with non-uniform rational B-splines. We show how to set up the free knot problem such that constrained nonlinear optimization can be applied efficiently. An approach for realizing the optimization in parallel will be described in detail. Our foremost objective in our paralle...

Original scientific paper Analysis of the laminated composite plates under transverse loading is considered using the new method of Isogeometric Analysis (IGA). Non-Uniform Rational B-Splines (NURBS) are used as shape functions for modelling the geometry of the structure and are also used as shape functions in the analysis process. Boundary conditions are imposed using a kind of collocation met...

This paper examines the role of continuity of the basis in the computation of turbulent flows. We compare standard finite elements and NURBS (non-uniform rational B-splines) discretizations that are employed in Isogeometric Analysis [23]. We make use of quadratic discretizations that are C-continuous across element boundaries in standard finite elements, and C-continuous in the case of NURBS. T...