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We present a T-splines computational method and its implementation where structures with different parametric dimensions are connected with continuity and smoothness. We derive the basis functions in the context of connecting structures with 2D ...${}^{\mathrm{}}$${}^{\mathrm{}}$

In this second part of a two-part article, we present spacecraft parachute structural mechanics computations with the T-splines computational method introduced in the first part. The method and its implementation, which was also given in the first ...

We present an adaptive refinement algorithm for T-splines on unstructured 2D meshes. While for structured 2D meshes, one can refine elements alternatingly in horizontal and vertical direction, such an approach cannot be generalized ...

• Refinement algorithm for T-splines on unstructured meshes.
• Procedure is based ...

Surface blending is a permanent topic in computer aided geometric design. This modeling operation that generates smooth connection between given surfaces has been studied by many researchers. However, as the interests grow of ...

• T-splines in semi-NURBS form are used to blend two incompatible surfaces.
• Knot ...

In this contribution, we introduce a multilevel approximation method with T-splines for fitting scattered point clouds iteratively, with an application to land remote sensing. This new procedure provides a local surface approximation ...

• T-splines are best designed for adaptive surface fitting of point clouds
• Least-...

This paper presents the first results of a semi-automatic procedure able to turn tetra-meshes into solid models using T-splines. The paper deals with free-form objects where manual modelling based on NURBS curves and surfaces is not a simple ...

• We proposes a new evaluation algorithm for analysis-suitable T-splines.
• The ...

Analysis-suitable T-splines form a practically useful subset of T-splines. They maintain the design flexibility of T-splines with an efficient and highly localized refinement capability, while preserving the important analysis-suitable ...

Surface skinning is a surface generation method that uses a set of given cross-sectional curves, and it is widely used in free-form surface design. In the B-spline surface skinning, the given B-spline curves should be compatible, that ...

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• A local T-spline surface skinning method with shape preservation is proposed.
• ...

The request for designing or reconstructing objects from planar cross sections arises in various applications, ranging from CAD to GIS and Medical Imaging. The present work focuses on the one-to-many branching problem, where one of the planes can be ...

Nowadays the isogeometric analysis (IGA) represents an innovative method that merges design and numerical computations into a unified formulation. In such a context we apply the isogeometric concept based on T-splines and Non Uniform Rational B-Splines (...

A degree elevation algorithm is presented for T-splines. We also provide two optimized degree elevation algorithms to restrict the resulting T-splines to be analysis-suitable. A recursive algorithm for general T-spline degree elevation is developed.Two ...

This paper provides a general formula for the dimension of spline space over general planar T-meshes (having concave corners or holes) by using the smoothing cofactor-conformality method. We introduce a new notion, the diagonalizable T-mesh, where the ...

In this article we provide the characterization of analysis suitable T-spline spaces (Beirão da Veiga et al., 2013) as the space of piecewise polynomials with appropriate linear constrains on the subdomain interfaces. We describe AST-meshes for which ...

Meshes with T-joints (T-meshes) and related high-order surfaces have many advantages in situations where flexible local refinement is needed. At the same time, designing subdivision rules and bases for T-meshes is much more difficult, and fewer options ...

We present an efficient adaptive refinement procedure that preserves analysis-suitability of the T-mesh, that is, the linear independence of the T-spline blending functions. We prove analysis-suitability of the overlays and boundedness of their ...

Cohesive zone (CZ) models have long been used by the scientific community to analyze the progressive damage of materials and interfaces. In these models, non-linear relationships between tractions and relative displacements are assumed, which dictate ...

Local refinement is widely applied in surface modeling. This paper proposes the concept of influence knot set, and uses it to establish a new algorithm for the local refinement of T-spline surfaces, whose effectiveness is demonstrated by several ...

The purpose of the present paper is to answer the following open question given by Sederberg's research team: are there T-splines with linearly dependent blending functions that do not have multiple knots? First, the mathematical properties of the ...

In this paper we introduce methods for electromagnetic wave propagation, based on splines and on T-splines. We define spline spaces which form a De Rham complex and following the isogeometric paradigm, we map them on domains which are (piecewise) spline ...

In a recent special issue on ship design of this Journal the applicability of NURBS surfaces for ship hull representation was commented upon, as part of a review of challenges. The authors rightfully point out that NURBS do have their problems when ...