Example 2
By [HanZhuang2009], for dilation factor d = 2, intpolating constant r= 2, and any hermite order h. Let L=2*(h+1).
Then for any support constant K, there exists a unique mask supported on [1-K,K] satisfies sum rules of order (h+1)*(2*K-1).
and the mask has symmetry:
a(1/z)=diag(P,P*1/z^2)a(z)diag(P,P*z),
where P = diag((-1)^0,(-1)^1,...,(-1)^h).
The following example is for d=r=2; h=2; Then L=6. Set K=1. the mask is support on [0,1] and satisfies sum rules of order 3*1=3;
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(7.4.2) |
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(7.4.6) |
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(7.4.11) |
