Results 231 to 240 of about 29,215 (262)
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ACM SIGGRAPH 2003 Papers, 2003
This paper presents a generalization of non-uniform B-spline surfaces called T-splines. T-spline control grids permit T-junctions, so lines of control points need not traverse the entire control grid. T-splines support many valuable operations within a consistent framework, such as local refinement, and the merging of several B-spline ...
Thomas W. Sederberg +3 more
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This paper presents a generalization of non-uniform B-spline surfaces called T-splines. T-spline control grids permit T-junctions, so lines of control points need not traverse the entire control grid. T-splines support many valuable operations within a consistent framework, such as local refinement, and the merging of several B-spline ...
Thomas W. Sederberg +3 more
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FasTFit: A fast T-spline fitting algorithm
Computer-Aided Design, 2017Abstract T-spline has been recently developed to represent objects of arbitrary shapes using a smaller number of control points than the conventional NURBS or B-spline representations in computer aided design, computer graphics, and reverse engineering. However, existing methods for fitting a T-spline over a point cloud are slow.
Chen Feng 0002, Yuichi Taguchi
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On linear independence of T-spline blending functions
Computer Aided Geometric Design, 2012The authors study the linear independence of T-spline blending functions, a property required in the isogeometric analysis. The class of T-splines, for which no perpendicular T-node extensions intersect, is studied and in this purpose, first a technique to construct a matrix that maps a T-spline control point to a control point of an equivalent ...
Xin Li 0021 +4 more
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On the Nesting Behavior of T-splines
2011Abstract : We establish rigorously the fundamental nesting behavior of T-spline spaces in terms of the topology of the T-mesh. This provides a theoretical foundation for local refinement algorithms based on analysis-suitable T-splines and their use in isogeometric analysis. A key result is a dimension formula for smooth polynomial spline spaces defined
M. A. Scott, X. Li
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Free-form deformation with weighted T-spline
The Visual Computer, 2005A new method of free-form deformation, w-TFFD, is proposed, for which an original shape is deformed using weighted T-spline volumes. We generalize T-splines to weighted T-spline volumes that also permit T-junctions. Weighted T-spline volumes are a natural generalization of NURBS volumes but permit more flexible control lattices. Thus, w-TFFD holds many
Wenhao Song, Xunnian Yang
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Volumetric T-spline construction using Boolean operations
Engineering with Computers, 2013In this paper, we present a novel algorithm for constructing a volumetric T-spline from B-reps inspired by constructive solid geometry Boolean operations. By solving a harmonic field with proper boundary conditions, the input surface is automatically decomposed into regions that are classified into two groups represented, topologically, by either a ...
Lei Liu 0010 +4 more
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Some Properties for Analysis-Suitable T-Splines
Journal of Computational Mathematics, 2015Analysis-suitable $T$-splines (AS $T$-splines) are a mildly topological restricted subset of T-splines which are linear independent regardless of knot values [1–3]. The present paper provides some more iso-geometric analysis (IGA) oriented properties for AS $T$-splines and generalizes them to arbitrary topology AS $T$-splines.
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Periodic T-Splines and Tubular Surface Fitting
2012This paper discusses a special type of T-spline surfaces called periodic T-splines that are closed in one parameter direction, and their application in tubular surface fitting. First, a global representation is proposed for representing periodic T-splines.
Jianmin Zheng, Yimin Wang
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Local T-spline surface skinning with shape preservation
Computer-Aided Design, 2018Abstract 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 is, the curves should have the same degree and knot sequence.
Min-jae Oh +2 more
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T-spline for Umbrella Modeling
The Proceedings of Design & Systems Conference, 2021Ayame SUZUKI +4 more
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