Modified T-splines

Bézier projection: A unified approach for local projection and quadrature-free refinement and coarsening of NURBS and T-splines with particular application to isogeometric design and analysis

“…Splines posed over triangulations have been pursued in the context of piecewise quadratic C 1 Powell-Sabin splines [88,87], and C 0 Bézier triangles [53]. Polynomial splines over hierarchical T-meshes (PHT-splines) [31,60,61,59], modified T-splines [56], and locally refined splines (LR-splines) [34,15] are closely related to T-splines with varying levels of smoothness and approaches to local refinement. Generalized B-splines [67,22] and T-splines [14] enhance a piecewise polynomial spline basis by including non-polynomial functions, typically trigonometric or hyperbolic functions.…”

Weighted T-splines with application in reparameterizing trimmed NURBS surfaces

“…An efficient adaptive refinement procedure with linear computational complexity was introduced [31], which preserves the linear independence of T-spline blending functions. Modified T-spline basis functions were then constructed for a given T-mesh with linear independence and partition of unity [32]. Polynomial splines defined over hierarchical T-meshes were used to solve two dimensional problems, which fulfill all the properties for analysis while facilitates adaptive refinement [33].…”

A Polynomial Splines Identification Method Based on Control Nets

“…Stimulated by the advent of T-splines and isogeometric analysis, locally refinable splines are born and now becoming flourishing. Currently, there are Hierarchical B-splines [5][6][7], truncated hierarchical B-splines (THB-splines) [8], truncated T-splines [9], truncated hierarchical tricubic C 0 spline [10], blended B-spline based on unstructured quadrilateral and hexahedral meshes [11], analysis-suitable T-splines (AST-splines) [12], LR B-splines [13], modified T-splines [14], and polynomial splines over hierarchical T-meshes (PHT-splines) [15].…”