کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
440579 691174 2015 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Constructing B-spline solids from tetrahedral meshes for isogeometric analysis
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر گرافیک کامپیوتری و طراحی به کمک کامپیوتر
پیش نمایش صفحه اول مقاله
Constructing B-spline solids from tetrahedral meshes for isogeometric analysis
چکیده انگلیسی

With the advent of isogeometric analysis, the modeling of spline solids became an important topic. In this paper, we present a discrete volume parameterization method for tetrahedral (tet) mesh models and an iterative fitting algorithm with a B-spline solid. The discrete volume parameterization method maps the vertices of a tet mesh into a parameter domain by solving a system of linear equations. Each equation is explicitly constructed for an inner vertex in terms of the geometric information adjacent to the inner vertex. Moreover, we show the validity of the parameterization system of linear equations thus constructed. Next, because the number of tet mesh vertices is usually very large, we develop an iterative algorithm for fitting a tet mesh with a B-spline solid. The iterative algorithm exploits the geometric information of the control hexahedral (hex) mesh and the local support property of the spline function, so the total amount of computation in each iteration is unchanged when the number of control hex mesh vertices of the B-spline solid is increased. Therefore, the iterative fitting algorithm performs very well in incremental fitting of a tet mesh with a large number of vertices. Finally, four experimental examples presented in this paper show the efficiency and effectiveness of the developed algorithms.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Aided Geometric Design - Volumes 35–36, May 2015, Pages 109–120
نویسندگان
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