Nanyang Award for Research Excellence 2010
Associate Professor Tai Xue-Cheng has been working on numerical analysis and computational mathematics in recent years. He has made significant interdisciplinary research contribution in bridging mathematics with real-life applications such as medical imaging and computer vision.
Dr Tai is a well-acclaimed researcher whose research ideas have been used and extended by top scientists in the field of Parallel Splitting Algorithm.The Parallel Splitting Algorithm proposed in his PhD thesis, is better known today as AOS (additive operator splitting) method,has beenreinvented by Weickert et al. in 1997, are now highly popular for PDE-based image processing as they are fast and allow stable and efficient filtering. His proposed algorithm for nonlinear domain decomposition and multi-grid methods published in Numerische Mathematik (2003) for obstacle problems has been acknowledged as the “only algorithm with proven multi-grid convergence rate” (see Graser & Kornhuber, J. of Computational Mathematics, 2009, page 18). Some of his proposed finite elements for singular perturbation problem have been adopted in real engineering applications and have been called Mardal-Tai-Winther (MTW) element by some authors (see Danisch-Starke, SIAM.J. Numerical Analysis, vol. 45, page 743).
He has made important contributions to image processing and level set methods. Dr Tai has proposed a general framework to use level set idea for inverse problems, which has been extended to a large class of problem related to shape identification and optimization. He has also proposed PCLSM (piecewise constant level set methods) for multiphase interface problems, which reveals connection between level set methods, phase field method and Random field idea. He has contributed significantly to the area of image processing in the use of higher order filters and new geometrical models, which lead to the introduction of Bregmann iteration into information science, which was a revolutionary development.
Dr Tai has published 40 journal papers in many top journals in his research area (i.e. International Journal of Computer Vision, IEEE Transactions on Medical Imaging, IEEE Transactions on Image Processing, Cytometry, etc.). In the past 5 years and his publications have garnered 765 citations, which is an impressive record for a mathematical researcher. Since 2007, he has attracted around $ 2 million worth of funding from Ministry of Education (MoE) and National Research Foundation (NRF). Due to his significant contributions to computational mathematics and scientific computing, Dr Tai has been awarded the 8th Feng Kang Prize, a highly reputed and prestigious award dedicated to the memory of the late Feng Kang, a Chinese scientist who has pioneered modern numerical mathematics.