Deformable objects can be used to model soft objects such as clothing, human faces and animal characters. They are important as they can improve the realism of the applications. However, most existing hardware accelerators cannot render deformable objects directly. A tessellation process is often used to convert a deformable object into polygons so that the hardware graphics accelerator may ren...

Trimmed NURBS are the standard surface representation used in CAD/CAM systems and accurate visualization of trimmed NURBS models at interactive frame rates is of great interest for industry. To support modification and/or animation of such surfaces, a GPU-based trimming and tessellation algorithm has been developed recently. First, the NURBS is approximated with a bi-cubic hierarchy of Bézier p...

The mapping method was introduced in [1] for highly accurate Isogeometric Analysis (IGA) of elliptic boundary value problems containing singularities. The mapping method is concerned with constructions of novel geometrical mappings by which push-forwards of B-splines from the parameter space into the physical space generate singular functions that resemble the singularities. In other words, the...

Non-Uniform Rational B-Splines (NURBS) is a well-established tool for geometric design having become the de facto industry standards for the representation, design, and data exchange of geometric information. The introduction of a trimmed surface data type in the description of free form objects or parts of solids has provided greater power and flexibility to the standard NURBS representational...

Problem statement: The objective of this study is to compare the methods for approximating the positions of twist fiber in yarn structures. Computer Aided Design (CAD) is applied using parametric equation, spline curve and NURBS curve. The ideal twist fiber and fiber migration are studied in 3 dimensions. Approach: The fiber positions in yarn structures were measured by trace fiber technique. T...

The mapping of real-world objects to 3D geometry is of particular importance for engineering applications such as as-built modeling for progress monitoring and energy performance simulation. The state-of-the-art methods for fitting NURBS to point clouds still fail to account for all the topological variations or struggle with the mapping of physical space to parameter space given unordered, inc...

Generalized finite element methods have proved a great potential in the mesh-independent modeling of both weak and strong discontinuities, such as the ones encountered when treating materials with inclusions or cracks. By removing the constraint of a conforming mesh, more freedom is offered to modeling exact geometries by means of splines. However, very few studies have been published which com...

In the framework of cardiac electrophysiology for human heart, we apply multipatch NURBS-based Isogeometric Analysis space discretization Monodomain model. (IGA) is a technique solution Partial Differential Equations (PDEs) that facilitates encapsulating exact representation computational geometry by using basis functions with high-order continuity. IGA features very small numerical dissipation...

NURBS-based discretizations suffer from membrane locking when applied to primal formulations of curved thin-walled structures. We consider linear plane Kirchhoff rods as a model problem study how remove discretizations. In this work, we propose continuous-assumed-strain (CAS) elements, an assumed strain treatment that removes quadratic NURBS for ample range slenderness ratios. CAS elements take...

This work presents some numerical aspects of isogeometric boundary element methods (IGABEM). The behavior hyper-singular and nearly-singular integration is first explored on the distorted NURBS surface. Several treatments are proposed to enhance quadrature in framework analysis. Then a implementation IGABEM trimmed detailed. Based this idea, surface crack problem modeled incorporation with phan...