Curve Variations in Non-Stationary Three-Point Subdivision Schemes

Kashif Rehan, Waqas Ali Tanveer
2018 Research Journal of Applied Sciences Engineering and Technology  
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 ξ . 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 ξ have been demonstrated by the several examples.
doi:10.19026/rjaset.15.5860 fatcat:trpy5seg3vgwtbmssuwn7n3bp4