An efficient data structure for calculation of unstructured T-spline surfaces [PDF]
Visual Computing for Industry, Biomedicine, and Art, 2019 To overcome the topological constraints of non-uniform rational B-splines, T-splines have been proposed to define the freeform surfaces. The introduction of T-junctions and extraordinary points makes it possible to represent arbitrarily shaped models by ...
Wei Wang +3 more
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Linear Independence of T-Spline Blending Functions of Degree One for Isogeometric Analysis
Mathematics, 2021 Linear independence of the blending functions is a necessary requirement for T-spline in isogeometric analysis. The main work in this paper focuses on the analysis about T-splines of degree one, we demonstrate that all the blending functions of such T ...
Aizeng Wang +6 more
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T-Spline Based Unifying Registration Procedure for Free-Form Surface Workpieces in Intelligent CMM
Applied Sciences, 2017 With the development of the modern manufacturing industry, the free-form surface is widely used in various fields, and the automatic detection of a free-form surface is an important function of future intelligent three-coordinate measuring machines (CMMs)
Zhenhua Han +5 more
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T-Spline Polygonal Complexes [PDF]
Proceedings of CAD'14, 2014 ABSTRACTThe notion of polygonal complexes was originally conceived as a means for exact interpolation of uniform B-spline curves by Doo-Sabin (and later on by Catmull-Clark) subdivision surfaces. Starting from the theoretical origin of these complexes, this paper provides a general formulation of this notion that covers all quad-based (uniform/non ...
Abdulwahed M. Abbas
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Multilevel T-spline Approximation for Scattered Observations with Application to Land Remote Sensing [PDF]
Comput. Aided Des., 2022 X iv :2 20 1. 04 43 2v 1 [ m at h. N A ] 1 2 Ja n 20 22 Abstract. 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.
G. Kermarrec, Philipp Morgenstern
semanticscholar +1 more source
T-spline surface smoothing based on 1-ring neighborhood space angle
Journal of Computational Design and Engineering, 2022 The prominent properties owned by T-spline, such as flexibility, continuity, local refinement, water tightness, make it extensively applied in CAD & CAE integrating scenarios. But the local fairness may dissatisfy in damaged areas or even on the entire
Aizeng Wang +5 more
semanticscholar +1 more source
Characterisation of freeform, structured surfaces in T-spline spaces and its applications
Surface Topography Metrology and Properties, 2021 In advanced manufacturing, surface topographical designs with deterministic freeform and embedded structures have proven to contain effective, additive functionalities. These surfaces need to be geometrically characterised regarding the designed form and
Jian Wang +5 more
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Algorithms for Space Mapping Method on Spline Spaces over Modified Hierarchical T-Meshes
Mathematics, 2022 The space-mapping method provides a novel method for dimension formulae explanation and basis construction for the spline space over hierarchical T-meshes.
Jingjing Liu, Li Zhang, Weihong Zhang
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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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T-Splines for Isogeometric Analysis of the Large Deformation of Elastoplastic Kirchhoff–Love Shells
Applied Sciences, 2023 In this paper, we develop a T-spline-based isogeometric method for the large deformation of Kirchhoff–Love shells considering highly nonlinear elastoplastic materials.
Mayi Guo +5 more
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