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On the approximation power of generalized T-splines
Journal of Computational and Applied Mathematics, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cesare Bracco +3 more
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APPROXIMATION BY LOCAL PARABOLIC SPLINES CONSTRUCTED ON THE BASIS OF INTERPOLATION IN THE MEAN
Ural Mathematical Journal, 2017 The paper deals with approximative and form-retaining properties of the local parabolic splines of the form \(S(x)=\sum\limits_j y_j B_2 (x-jh),\) \( (h>0),\) where \(B_2\) is a normalized parabolic spline with the uniform nodes and functionals \(y_j=y_j(
Elena V. Strelkova
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Isogeometric treatment of large deformation contact and debonding problems with T-splines: a review
Curved and Layered Structures, 2015 Within a setting where the isogeometric analysis (IGA) has been successful at bringing two different research fields together, i.e. Computer Aided Design (CAD) and numerical analysis, T-spline IGA is applied in this work to frictionless contact and mode ...
Dimitri Rossana
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REMAT, 2016 O coração humano é dividido em quatro câmaras: átrio direito, ventrículo direito, átrio esquerdo e ventrículo esquerdo. Através de um incrível processo de sincronia elas recebem e impulsionam o sangue para ser oxigenado e para levar oxigênio a todas as ...
José Sérgio Domingues
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MathematicsIsogeometric analysis (IGA) is a numerical methodology for solving differential equations by employing basis functions that preserve the exact geometry of the domain. This approach is based on a class of mathematical functions known as NURBS (Non-Uniform
João Carlos L. Peixoto +2 more
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Comparison Between T-Spline Surface and NURBS Surface [PDF]
Engineering and Technology Journal, 2015 This research uses T-spline for surface modeling and compares it with NURBS modeling to get the best modeling points between the two methods. The comparison will be through surface analysis and manufacturing process.T-Splines surfaces typically have 50 ...
Laith Abdullah Mohammed +1 more
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Unified Representation of Curves and Surfaces
Mathematics, 2021 In conventional modeling, shared control points can be employed to realize a unified representation for an object consisting of only curves or only surfaces touching one another.
Aizeng Wang, Gang Zhao, Chuan He
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Multivariate Analysis-Suitable T-Splines of Arbitrary Degree
Computational Methods in Applied Mathematics, 2023 Abstract This paper defines analysis-suitable T-splines for arbitrary degree (including even and mixed degrees) and arbitrary dimension. We generalize the concept of anchor elements known from the two-dimensional setting, extend existing concepts of analysis-suitability and show their sufficiency for linearly independent T-splines.
Robin Hiniborch, Philipp Morgenstern
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Transfinite Patches for Isogeometric Analysis
MathematicsThis paper extends the well-known transfinite interpolation formula, which was developed in the late 1960s by the applied mathematician William Gordon at the premises of General Motors as an extension of the pre-existing Coons interpolation formula. Here,
Christopher Provatidis
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Five-Axis Tool Path Generation of Injection Mold Represented by T-Spline Surface
Advances in Polymer Technology, 2020 Injection molding is widely used in industries to produce polymeric products. At present, compound NURBS surfaces are commonly used to represent freeform surfaces in mold models.
Ce Shang +5 more
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