A 4-point nonlinear corner-cutting subdivision scheme is established. It is induced from a special C-shaped biarc circular spline structure. The scheme is circular-invariant and can be effectively applied to 2-dimensional (2D) data sets that are locally convex. The scheme is also extended adaptively to non-convex data. Explicit examples are demonstrated.
A New Four Point Circular-Invariant Corner-Cutting Subdivision for Curve Design,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 7,
1, Article 30.
Available at: https://digitalcommons.pvamu.edu/aam/vol7/iss1/30