Collaborative Research on Numerical Methods for Image Processing

小行星9806702 图像处理问题的数值解会产生非常大的非对称线性系统，其解对下列参数极其敏感： 数据中的扰动。以避免或至少控制灾难性的影响 这种不稳定性的正则化是必需的。正则化稍微产生 对数据中的不准确性不太敏感的修改问题。 研究人员和她的同事的研究目的是 开发有效和高效的正则化方法，用于解决图像处理应用中出现的大型非对称线性系统， 以及开发用于图像压缩的新算法。 新的数值方法将在医学成像数据上进行测试， 应用于介入性磁共振成像， 凯斯西储大学生物医学工程系。

9806702 Calvetti The numerical solution of image processing problems gives rise to very large nonsymmetric linear systems whose solutions are extremely sensitive to perturbations in the data. To avoid or at least contain the disastrous effects of such instability regularization is required. Regularization yields slightly modified problems which are less sensitive to inaccuracies in the data. The aim of the research by the investigator and her colleague is to develop effective and efficient regularization methods for the solution of large nonsymmetric linear systems that arise in image processing applications, as well as to develop new algorithms for image compression. The new numerical methods will be tested on medical imaging data and will be applied to interventional magnetic resonance imaging in collaboration the department for Biomedical Engineering at Case Western Reserve University.