کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
441206 691406 2012 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
THB-splines: The truncated basis for hierarchical splines
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر گرافیک کامپیوتری و طراحی به کمک کامپیوتر
پیش نمایش صفحه اول مقاله
THB-splines: The truncated basis for hierarchical splines
چکیده انگلیسی

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 related to basis functions arising from different hierarchical levels, but it also improves the numerical properties of the corresponding hierarchical basis — which is denoted as truncated hierarchical B-spline (THB-spline) basis. Several computed examples will illustrate the adaptive approximation behavior obtained by using a refinement algorithm based on THB-splines.


► A normalized hierarchical tensor–product B-spline basis is proposed.
► The construction relies on a truncation mechanism of coarse basis functions.
► The local refinement property is illustrated by an adaptive approximation strategy.
► Sparsity and condition numbers of the related matrices are studied experimentally.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Aided Geometric Design - Volume 29, Issue 7, October 2012, Pages 485–498
نویسندگان
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