Dimension of spline spaces with highest order smoothness over hierarchical T-meshes

Billera, 1988, Homology of smooth splines: generic triangulations and a conjecture of Strang, Transactions of the American Mathematical Society, 310, 325, 10.1090/S0002-9947-1988-0965757-9 Deng, 2006, Dimensions of spline spaces over T-meshes, Journal of Computational and Applied Mathematics, 194, 267, 10.1016/j.cam.2005.07.009 Deng Deng, 2008, Polynomial splines over hierarchical T-meshes, Graphical Models, 70, 76, 10.1016/j.gmod.2008.03.001 Li, 2011, On the instability in the dimension of splines space over T-meshes, Computer Aided Geometric Design, 28, 420, 10.1016/j.cagd.2011.08.001 Li, 2006, Improvement on the dimension of spline spaces on T-mesh, Journal of Information and Computational Science, 3, 235 Mourrain Nguyen-Thanh, 2011, Rotation free isogeometric thin shell analysis using PHT-splines, Computer Methods in Applied Mechanics and Engineering, 200, 3410, 10.1016/j.cma.2011.08.014 Nguyen-Thanh, 2011, Isogeometric analysis using polynomial splines over hierarchical T-meshes for two-dimensional elastic solids, Computer Methods in Applied Mechanics and Engineering, 200, 1892, 10.1016/j.cma.2011.01.018 Sederberg, 2004, T-spline simplification and local refinement, ACM Transactions on Graphics, 23, 276, 10.1145/1015706.1015715 Sederberg, 2003, T-splines and T-NURCCs, ACM Transactions on Graphics, 22, 477, 10.1145/882262.882295 Wang, 2011, Adaptive isogeometric analysis using rational PHT-splines, Computer Aided Design, 43, 1438, 10.1016/j.cad.2011.08.026 Wang, 1979, On the analysis of multivariate splines in the case of arbitrary partition, Scientia Sinica, 215 Wu, 2012, Hierarchical bases of spline spaces with highest order smoothness over hierarchical T-subdivisions, Computer Aided Geometric Design, 29, 499, 10.1016/j.cagd.2012.03.024