Abstract:

The refinability of a kind of cubic parametric spline curves with tension properties was studied and their M-band refinement equations were obtained, which contain the existing 2-band case, and furthermore, the computation of refiner tension parameters and subdivision masks with different knots were discussed, and the subdivision rules were gained. The computation procedure of 3-band subdivision was introduced in detail and numerical examples were given to illustrate the advantages of approximation.

Key words: refinement equation, knotinsertion, M-band, parametric curves, tension properties