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math.FA2024
New Tight Wavelet Frame Constructions Sharing Responsibility
Youngmi Hur, Hyojae Lim
Tight wavelet frames (TWFs) in \(L^2(\mathbb{R}^n)\) are versatile, and are practically useful due to their perfect reconstruction property. Nevertheless, existing TWF construction…
math.FA2019
Multivariate Tight Wavelet Frames with Few Generators and High Vanishing Moments
Youngmi Hur, Zachary Lubberts, Kasso A. Okoudjou
Tight wavelet frames are computationally and theoretically attractive, but most existing multivariate constructions have various drawbacks, including low vanishing moments for the…
math.FA2014
Scaling Laplacian Pyramids
Youngmi Hur, Kasso A. Okoudjou
Laplacian pyramid based Laurent polynomial (LP) matrices are generated by Laurent polynomial column vectors and have long been studied in connection with Laplacian pyramidal al…