We will elaborate on convergence of cascade algorithms based on the masks, which guarantees the existence of refinable
functions in Section 3.
This polynomial approach reflects convolutions of refinable
functions and has been extensively studied in the univariate setting, cf.
Let [PHI] be some refinable
function with a refinement mask [tau] that satisfies [PHI] [member of] [R.
PENA, Local decomposition of refinable
Stork  applied hierarchical predicate/transition net to active document workflow and used structured token to carry various kinds of control information, which could be used for refinement of refinable
Coking units increase the amount of refinable
material obtained from a barrel of oil and convert residual crude into petroleum coke, which can be used as coal substitute.
A continuous refinable
function [psi] is interpolatory if
Wavelets defined in that way are a generalization of the standard multiresolution definition since they are defined through scaling refinable
The flexicoker increases the amount of refinable
material from a barrel of crude oil and converts residual crude oil to petroleum coke, a coal substitute.
A coking unit increases the amount of refinable
material obtained from a barrel of oil and converts gunky residual crude into petroleum coke, a coal substitute.