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 -