Sentence examples for refinable from inspiring English sources

Let a ˆ be a refinement mask of the refinable function ϕ of the form | a ˆ | = cos n ( ξ / 2 ) | L |, ξ ∈.

Let ϕ be the refinable function corresponding to the refinement mask â.

[6] Let (phiin L_{2}(mathbb{R})) be a compactly supported refinable function with finitely supported refinement mask a.

Hence, the basis functions at quad/triangle vertices are shifts of the refinable function associated with a nonhomogeneous refinement equation.

Let (phi_{m,l,alpha}) be the refinable functions from generalized Bernstein polynomials with the refinement mask (2).

In this paper, a further family of refinable functions is constructed, which includes pseudo-splines of Type II, based on refinement masks, which are generalized Bernstein polynomials.

A refinable spline is a compactly supported refinable function that is piecewise polynomial.

In this paper, we give complete characterization of the structure of refinable splines.

An artist-oriented tool should be easy-to-use, real-time, versatile, and locally refinable.

Refinable splines have been studied in several papers, most noticeably in [W.

Lawton, S.L. Lee, Z. Shen, Characterization of compactly supported refinable splines, Adv.