Multiscale Modeling &Simulation, Volume 18, Issue 2, Page 674-706, January 2020.
In this paper, we consider the sparse regularization of manifold-valued data with respect to an interpolatory wavelet/multiscale transform. We propose and study variational models for this task and provide results on their well-posedness. We present algorithms for a numerical realization of these models in the manifold setup. Further, we provide experimental results to show the potential of the proposed schemes for applications.

中文翻译：

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流形值数据的小波稀疏正则化

《多尺度建模与仿真》，第18卷，第2期，第674-706页，2020
年1月。在本文中，我们考虑了关于插值小波/多尺度变换的流形值数据的稀疏正则化。我们提出并研究了此任务的变体模型，并提供了其适定性的结果。我们提出了在歧管设置中这些模型的数值实现的算法。此外，我们提供实验结果以显示所提出的方案的应用潜力。