Truncated T-splines: Fundamentals and methods
نویسندگان
چکیده
منابع مشابه
THB-splines: The truncated basis for hierarchical splines
The construction of classical hierarchical B–splines can be suitably modified in order to define locally supported basis functions that form a partition of unity. We will show that this property can be obtained by reducing the support of basis functions defined on coarse grids, according to finer levels in the hierarchy of splines. This truncation not only decreases the overlapping of supports ...
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Tensor–product B–spline surfaces are commonly used as standard modeling tool in Computer Aided Geometric Design and for numerical simulation in Isogeometric Analysis. However, when considering tensor–product grids, there is no possibility of a localized mesh refinement without propagation of the refinement outside the region of interest. The recently introduced truncated hierarchical B–splines ...
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T-splines is a recently developed surface modelling technique which is a generalization of B-splines and allows true local refinement. Another well established method supporting local refinement is hierarchical B-splines. This paper presents algorithms for transformation between T-splines and hierarchical (rational) B-splines. With the transformation, a surface expressed in terms of T-splines c...
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Article history: Received 6 January 2013 Received in revised form 13 June 2013 Accepted 30 September 2013 Available online 17 October 2013
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ژورنال
عنوان ژورنال: Computer Methods in Applied Mechanics and Engineering
سال: 2017
ISSN: 0045-7825
DOI: 10.1016/j.cma.2016.07.020