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math.NA2025
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…
math.NA2024
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…