as 1) extending the well known Robust PCA denoising technique to the manifold setting thus greatly broadened the

We thank all the reviewers for their time and effort. We are particularly grateful for the suggestion of the reviewers about Section 5-6. Specifically, we will move Sect. We will also follow Reviewer 1's and Reviewer 2's advice to add the derivation of Eq. (13) and Eq. Due to space limitations, below we only address the major concerns raised by the reviewers. NN in the Dijkstra's algorithm used to compute the geodesic distances (mentioned Does the methodology presented in Section 2 work for non-Gaussian noise too?