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Adaptive refinement of hierarchical T-splines [PDF]

Computer Methods in Applied Mechanics and Engineering, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, L., de Borst, R.
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The Bojanov-Naidenov problem for trigonometric polynomials and periodic splines

Researches in Mathematics, 2019
For given $n, r \in \mathbb{N}$; $p, A > 0$ and any fixed interval $[a,b] \subset \mathbb{R}$ we solve the extremal problem $\int\limits_a^b |x(t)|^q dt \rightarrow \sup$, $q \geqslant p$, over sets of trigonometric polynomials $T$ of order $\leqslant n$
E.V. Asadova, V.A. Kofanov
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The Instability in the Dimensions of Polynomial Splines of Mixed Smoothness over T-Meshes

Mathematics
Mixed-smoothness splines facilitate localized control over smoothness; however, the issue of dimensional instability in mixed-smoothness spline spaces remains unstudied in the existing literature.
Pengxiao Wang
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A Patient-Specific 3D+t Coronary Artery Motion Modeling Method Using Hierarchical Deformation with Electrocardiogram

Sensors, 2020
Cardiovascular-related diseases are one of the leading causes of death worldwide. An understanding of heart movement based on images plays a vital role in assisting postoperative procedures and processes.
Siyeop Yoon +3 more
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Turning Meshes into B-reps with T-splines

, 2021
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 process or could result in approximate reconstructions with significant geometric simplification.
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Distortion-controllable conformal parameterization of CAD surfaces via adaptive PHT-splines

Graphical Models
In practical engineering applications, the application of coatings designed from Computer-Aided Design (CAD) models (e.g., stealth coatings for aircraft) onto three-dimensional components must take into account the material’s ductility limits ...
Hanbing Zhang, Meng Wu, Xuhui Wang, Jinhua Fan +3 more
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IGA in CFD and FSI: Refinement Strategies, AI Integration, and Future Directions [PDF]

MATEC Web of Conferences
Isogeometric Analysis (IGA), introduced by Hughes et al. in 2005, seamlessly integrates CAD and FEA by directly utilizing NURBS, T-Splines, and Subdivision Surfaces in numerical simulations.
Guendaoui Sohaib, El Akkad Abdeslam, El Khalfi Ahmed +2 more
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Comparison of statistical modelling methods for population-level gestational weight gain trajectories in ethnically diverse women in southeast Melbourne, Australia

BMJ Open
Objectives Adverse lifestyle promotes escalating excess gestational weight gain (GWG) driving poor maternal and neonatal health outcomes. Recommended pregnancy lifestyle interventions rely on accurate assessment and prediction of GWG.
Rui Wang +4 more
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Measurable and Unmeasurable Features of Ultrasound Lymph Node Images in Detection of Malignant Infiltration

Acta Clinica Croatica, 2017
The aim of the study was to assess diagnostic value and utility of selected morphological features in predicting lymph node (LN) malignancy using B-mode, Doppler ultrasonography and multivariate settings in a tertiary radiological referral center.
Tatjana Rotim +7 more
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Modifiable dementia risk factors and AT(N) biomarkers: findings from the EPAD cohort

Frontiers in Aging Neuroscience
IntroductionModifiable risk factors account for a substantial proportion of Alzheimer’s disease (AD) cases and we currently have a discrete AT(N) biomarker profile for AD biomarkers: amyloid (A), p-tau (T), and neurodegeneration (N).
Eddy Roccati +11 more
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isogeometric analysis
nurbs
medicine