Spline spaces with mixed orders of continuity over T-meshes

作者：

Highlights：

• A concept “Spline spaces with mixed orders of continuity over T-meshes” is presented.

• Dimensional formulas are given for this type of bicubic spline spaces.

• A set of bases are constructed with nice property from the geometric view.

• Applications in image processing and FEM are presented.

摘要

•A concept “Spline spaces with mixed orders of continuity over T-meshes” is presented.•Dimensional formulas are given for this type of bicubic spline spaces.•A set of bases are constructed with nice property from the geometric view.•Applications in image processing and FEM are presented.

论文关键词：Spline,T-mesh,Discontinuous data processing,Finite element method,B-net method

论文评审过程：Received 3 April 2013, Revised 26 February 2014, Available online 20 March 2014.

论文官网地址：https://doi.org/10.1016/j.cam.2014.03.002