Solving inverse problems with Iterative regularisation and convex penalties

这个项目的目的是开发和研究新的计算方法来解决不具有传统正则化方法所要求的通常的光滑性(或源条件)的反问题。这种逆问题的例子非常常见，包括图像恢复、光声层析成像和光谱学。预计这个项目将大大扩展利用Banach空间、凸分析、并行计算和优化的想法来解决此类问题的方法工具箱。预计该项目将对更好地理解反问题及其解决程序作出重大贡献。

This project aims to develop and investigate new computational procedures for the solution of inverse problems which do not have the usual smoothness properties (or source conditions) required for the traditional regularisation methods. Examples of such inverse problems are very common and include image restoration, photo-acoustic tomography and spectroscopy. It is anticipated that this project will substantially extend the toolbox of methods for such problems utilising ideas from Banach spaces, convex analysis, parallel computing and optimisation. This project is expected to make a substantial contribution to a better understanding of inverse problems and their solution procedures.