Shape-based image reconstruction using linearized deformations
Ozan Öktem, Chong Chen, Nevzat Onur Domaniç, Pradeep Ravikumar, Chandrajit Bajaj · Inverse Problems · 2016
We introduce a reconstruction framework that can account for shape related a priori information in ill-posed linear inverse problems in imaging. It is a variational scheme that uses a shape functional defined using deformable templates machinery from shape theory. As proof of concept, we apply the proposed shape based reconstruction to 2D tomography with very sparse measurements, and demonstrate strong empirical results.