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math.AP2022
Approximation Theory of Wavelet Frame Based Image Restoration
Jian-Feng Cai, Jae Kyu Choi, Jianbin Yang
In this paper, we analyze the error estimate of a wavelet frame based image restoration method from degraded and incomplete measurements. We present the error between the underlyin…
math.NA2022
Two Stage Continuous Domain Regularization for Piecewise Constant Image Restoration
Jian-Feng Cai, Jae Kyu Choi, Chenchuan Zhou
The finite-rate-of-innovation (FRI) framework which corresponds a signal/image to a structured low-rank matrix is emerging as an alternative to the traditional sparse regularizatio…
math.AP2022
Approximation Theory of Total Variation Minimization for Data Completion
Jian-Feng Cai, Jae Kyu Choi, Ke Wei
Total variation (TV) minimization is one of the most important techniques in modern signal/image processing, and has wide range of applications. While there are numerous recent wor…