1 citations · 1 across the 4 of their papers we have counts for
4 papers
Multivariate Vector Subdivision Schemes with a General Matrix-valued Filter
Ran Lu
Subdivision schemes are closely related to splines and wavelets and have numerous applications in CAGD and numerical differential equations. Subdivision schemes employ a scalar fil…
Interpolatory Dual Framelets with a General Dilation Matrix
Ran Lu
Interpolatory filters are of great interest in subdivision schemes and wavelet analysis. Due to the high-order linear-phase moment property, interpolatory refinement filters are of…
Quasi-stationary Subdivision Schemes in Arbitrary Dimensions
Ran Lu, Bin Han
Stationary subdivision schemes have been extensively studied and have numerous applications in CAGD and wavelet analysis. To have high-order smoothness of the scheme, it is usually…
Compactly supported multivariate dual multiframelets with high vanishing moments and high balancing orders
Ran Lu
Comparing with univariate framelets, the main challenge involved in studying multivariate framelets is that we have to deal with the highly non-trivial problem of factorizing multi…