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Skip to Search Results 3Directionality
 2Image processing
 2Tensor product
 2Wavelets
 1Biorthogonal multiwavelets
 1Filter banks

Fall 2010
In Chapters 1 and 2, we introduce the definition of interpolating refinable function vectors in dimension one and high dimensions, characterize such interpolating refinable function vectors in terms of their masks, and derive their sum rule structure explicitly. We study biorthogonal refinable...

Fall 2013
It is well known that most information of an image is contained in its edges. Therefore capturing edges in an image is of fundamental importance in image processing. Tensor product realvalued wavelets only capture edges along the horizontal and vertical direc tions. Hence they are only...

Fall 2015
This thesis concentrates on the construction of directional tensor product complex tight framelets. It uses a complex tight framelet filter bank in one dimension and the tensor product of the onedimensional filter bank to obtain highdimensional filter bank. It has a number of advantages over...