3 papers
math.NA2022
Tight Wavelet Filter Banks with Prescribed Directions
Youngmi Hur
Constructing tight wavelet filter banks with prescribed directions is challenging. This paper presents a systematic method for designing a tight wavelet filter bank, given any pres…
math.GM2021
Invertibility of circulant matrices of arbitrary size
Jeong-Ok Choi, Youngmi Hur
In this paper, we present sufficient conditions to guarantee the invertibility of rational circulant matrices with any given size. These sufficient conditions consist of linear com…
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…