Abstract:

The calculational methods for multiband subdivision masks of regular vertices of triangular mesh were derived from the Fourier transform refinement equation of the Bspline base of S²₄(Δ) via the inverse Fourier transformation and valuation of four parameters. It was also confirmed that every new generated point in a triangle is the linear combination of the vertices of the first triangle ring around the triangle.

Key words: subdivision, multiband, regular vertex, mask