A new variant of Lane-Riesenfeld algorithm with two tension parameters

作者：Shi, Jun; Tan, Jieqing; Liu, Zhi^*; Zhang, Li

来源：Computer Aided Geometric Design, 2018, 64: 27-36.

DOI：10.1016/j.cagd.2018.06.004

• Subdivision
• Tension parameter
• B-spline refinement
• Hormann-Sabin's family

We present a generalization of Lane-Riesenfeld algorithm with two tension parameters for curve design. The generalization incorporates existing families as special cases: HormannSabin's family, Romani's family, J-spline family, and Siddiqi's improved binary four-point family. The new family also has common members with dual de Rham-type approximating schemes when n is even. Analysis of the new family indicates that there are parameter choices that provide higher continuity and higher generation degree than available with any of those existing families.

• 出版日期2018-8
• 单位合肥工业大学