13 citations · 13 across the 5 of their papers we have counts for
5 papers
A structural characterization of Compactly Supported OEP-based balanced dual multiframelets
Ran Lu
Compared to scalar framelets, multiframelets have certain advantages, such as relatively smaller supports on generators, high vanishing moments, etc. The balancing property of mult…
Generalized Matrix Spectral Factorization with Symmetry and Applications to Symmetric Quasi-Tight Framelets
Chenzhe Diao, Bin Han, Ran Lu
Factorization of matrices of Laurent polynomials plays an important role in mathematics and engineering such as wavelet frame construction and filter bank design. Wavelet frames (a…
Multivariate Quasi-tight Framelets with High Balancing Orders Derived from Any Compactly Supported Refinable Vector Functions
Bin Han, Ran Lu
Generalizing wavelets by adding desired redundancy and flexibility,framelets are of interest and importance in many applications such as image processing and numerical algorithms.…
Compactly Supported Quasi-tight Multiframelets with High Balancing Orders and Compact Framelet Transforms
Bin Han, Ran Lu
Framelets (a.k.a. wavelet frames) are of interest in both theory and applications. Quite often, tight or dual framelets with high vanishing moments are constructed through the popu…
On the Strong Restricted Isometry Property of Bernoulli Random Matrices
Ran Lu
The study of the restricted isometry property (RIP) of corrupted random matrices is particularly important in the field of compressed sensing (CS) with corruptions. If a matrix sti…