An implementation of triangular B-spline surfaces over arbitrary triangulations
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Cited by (36)
Reproducing kernel triangular B-spline-based FEM for solving PDEs
2013, Computer Methods in Applied Mechanics and EngineeringSmooth DMS-FEM: A new approach to solving nearly incompressible nonlinear elasto-static problems
2012, International Journal of Mechanical SciencesA surface modeling method based on the envelope template
2011, Computer Aided Geometric DesignMultidimensional spline integration of scattered data
2011, Computer Physics CommunicationsCitation Excerpt :Further methods for multivariate approximation have also been developed, e.g. using rational basis functions, B-splines, tensor product splines, Powell–Sabin splines, triangulations, genetic algorithms or modified spline techniques. Moreover, based on such methods, various algorithms for spline fitting are also present in the literature, see Refs. [9–26]. Techniques for handling discontinuities (e.g. Ref. [27]) and imposing constraints on the fitted function can also be found (e.g. Refs. [28,29]).
Efficient evaluation of triangular B-spline surfaces
2000, Computer Aided Geometric DesignExtensions of the general polar value based control point specification method in constructing tensor product B-spline surfaces
2000, Computers and Graphics (Pergamon)Citation Excerpt :Besides the research work suggested in the previous section, the idea of using general polar values as control points for surfaces raises other important issues for future research. They are the extensions of these formulations to other B-spline surface types, for example, triangular B-spline surfaces [9,20] and geometric continuous B-spline (i.e. β-spline) tensor product surfaces [21]. Triangular B-spline surfaces can model complex objects with non-rectangular topology while β-spline provides extra shape control parameters based on geometric continuity.