英国诺丁汉大学张克威教授讲座:

Speaker: Kewei Zhang (University of Nottingham, UK)

Time: 04/10/2018, 4-5pm

Location: 科技楼602

Title: Compensated convexity and its application to approximation and interpolation for sampled functions

Abstract: I will briefly introduce the notions of compensated convex transforms and their basic properties. We apply these transforms to define devices for approximating and interpolating sampled functions in Euclidean spaces. I will describe the Huasdorff stability property against samples and the error estimates for inpainting given continuous or Lipschitz functions.  Prototype examples will  be presented and numerical experiments on applications to salt & pepper noise reduction, the level set reconstruction and image inpainting will  be illustrated. Other applications will also be discussed briefly.

Short Bio: Prof. Kewei Zhang is now Professor of Mathematics at University of Nottingham, UK. His research interests include development of geometric methods for image processing and geometric shape analysis, with applications to engineering and medical imaging and geosciences.