1 Introduction  
2 Outline and Theoretical Foundations  
3 LRTA for HSI Denoising  
4 LRTA for HS-MS Fusion  
5 LRTA for HSI Destriping  
6 LRTA for HSI Inpainting  
7 LRTA for HSI Deblurring  
8 LRTA for HSI Super-resolution  
9 Open Issues and Challenges  
10 Conclusions  