Curve Variations in Non-Stationary Three-Point Subdivision Schemes

Kashif Rehan ； Waqas Ali Tanveer

《Research Journal of Applied Sciences, Engineering and Technology》 15卷6期 (2018/06) Pp. 212-218

https://doi.org/10.19026/rjaset.15.5860

摘要

Subdivision schemes are acknowledged as an important tool in computer aided geometric design. The new binary non-stationary three-point approximating subdivision schemes have been proposed that generate wide variations of C^1 and C^2 continuous curves using shape control parameter □^0. The proposed schemes are the counterpart of stationary schemes introduced by Hormann and Sabin (2008) and Siddiqi and Ahmad (2007). Curve variations using the shape control parameter □^0 have been demonstrated by the several examples.

關鍵字

Approximating ； binary ； non-stationary ； smooth curves ； subdivision