Simple regularity criteria for subdivision schemes
SIAM Journal on Mathematical Analysis
An interpolating 4-point C 2 ternary stationary subdivision scheme
Computer Aided Geometric Design
A ternary three-point scheme for curve designing
International Journal of Computer Mathematics
A 4-point interpolatory subdivision scheme for curve design
Computer Aided Geometric Design
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A binary 4-point approximating subdivision scheme, presented by Siddiqi and Ahmad (2006) [9], has been improved by introducing a global tension parameter. An improved form of the scheme generates a family of C^n, n=1,2,3,4 limiting curves for certain range of global tension parameter and a C^5 limiting curve for a fixed value. Also a new corner cutting subdivision scheme has been proposed which generates a limiting curve of C^1 continuity. The Laurent polynomial method has been used to investigate the order of the derivative continuity of both subdivision schemes. The performance of the subdivision schemes has been exposed by considering examples and compared with the existing schemes.