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In the following, we will give a compactly supported real-valued refinable function [phi] : R [right arrow] R with finite mask and real mask coefficients; that is, [phi] satisfies a two-scale relation:
By the iteration of (11), the corresponding refinable function [phi] can be written in terms of its Fourier transform as
Multivariate polynomial equations have probably first been applied to construct multivariate refinable functions in [9], see also [8, 13].
The outline is as follows: We recall refinable functions in Section 2.
First we note that the refinable function [PHI] whose mask is [e.
2(2), if TI is a composite task interface, its running place with gray background color is a refinable place that can be refined to certain task version as the region enclosed by the dash line circle in Fig.
RP is a finite set of refinable places including all places running of the CTSN;
More details on interpolatory refinable functions can be found in [14].
Figure 1 shows one step in recursive subdivision of a tetrahedron which, applied to tetrahedrized volumes leads to a possible collection of refinable spaces that is to a sequence of linear nested spaces as those ones required in a MRA.
A coker increases the amount of refinable material produced from a barrel of crude oil and converts residual oil into petroleum coke, a coal substitute.
A coker increases the amount of refinable material in a barrel of crude oil and makes residual crude into petroleum coke, a coal substitute.
The fire broke out while the unit, which boosts the refinable material in a barrel of crude oil, was being prepared for demolition, Harpole said.