Constructing B-spline solids from tetrahedral meshes for isogeometric analysis

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