Research output: Contribution to journal › Article
Multivariate symmetric refinable functions and function vectors. / Krivoshein, A.V.
In: International Journal of Wavelets, Multiresolution and Information Processing, Vol. 14, No. 5, 2016, p. 1-25.Research output: Contribution to journal › Article
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TY - JOUR
T1 - Multivariate symmetric refinable functions and function vectors
AU - Krivoshein, A.V.
PY - 2016
Y1 - 2016
N2 - For any symmetry group, any appropriate matrix dilation (compatible with) and any appropriate symmetry center c we give an explicit method for the construction of -symmetric with respect to the center c refinable masks which have sum rule of an arbitrary order n. Moreover, we give a description of all these masks. For any symmetry group , any appropriate matrix dilation (compatible with) and any appropriate row of symmetry centers C we give two explicit methods for the construction of -symmetric with respect to the row of centers C refinable matrix masks which have sum rule of an arbitrary order n. A description of all such matrix masks is also presented.
AB - For any symmetry group, any appropriate matrix dilation (compatible with) and any appropriate symmetry center c we give an explicit method for the construction of -symmetric with respect to the center c refinable masks which have sum rule of an arbitrary order n. Moreover, we give a description of all these masks. For any symmetry group , any appropriate matrix dilation (compatible with) and any appropriate row of symmetry centers C we give two explicit methods for the construction of -symmetric with respect to the row of centers C refinable matrix masks which have sum rule of an arbitrary order n. A description of all such matrix masks is also presented.
KW - matrix mask
KW - multivariate refinable functions
KW - refinable mask
KW - Symmetry group
U2 - 10.1142/S021969131650034X
DO - 10.1142/S021969131650034X
M3 - Article
VL - 14
SP - 1
EP - 25
JO - International Journal of Wavelets, Multiresolution and Information Processing
JF - International Journal of Wavelets, Multiresolution and Information Processing
SN - 0219-6913
IS - 5
ER -
ID: 7609435