Simple regularity criteria for subdivision schemes
SIAM Journal on Mathematical Analysis
C-curves: an extension of cubic curves
Computer Aided Geometric Design
A subdivision algorithm for trigonometric spline curves
Computer Aided Geometric Design
A non-stationary uniform tension controlled interpolating 4-point scheme reproducing conics
Computer Aided Geometric Design
An interpolating 4-point C2 ternary non-stationary subdivision scheme with tension control
Computer Aided Geometric Design
A family of subdivision schemes with cubic precision
Computer Aided Geometric Design
A subdivision scheme for surfaces of revolution
Computer Aided Geometric Design
A Theoretical Development for the Computer Generation and Display of Piecewise Polynomial Surfaces
IEEE Transactions on Pattern Analysis and Machine Intelligence
Graphical Models
Exponential splines and minimal-support bases for curve representation
Computer Aided Geometric Design
Advances in Computational Mathematics
A generalized surface subdivision scheme of arbitrary order with a tension parameter
Computer-Aided Design
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We present a 3-point C^2 approximating non-stationary subdivision scheme for designing curves. The weights of the masks of the scheme are defined in terms of some values of trigonometric B-spline basis functions. The scheme has some interesting properties and it is compared with the 2-point and 3-point schemes generating uniform trigonometric spline curves of order 3 and 5. The comparison and the performance of the scheme are demonstrated by examples.