天元系列活动 | A brief introduction to compensated convexity and its applications
报 告 人: 张克威 教授
所在单位: 英国诺丁汉大学
报告地点: 数学楼第二报告厅
报告时间: 2019-09-17 10:00:00
报告简介:

Compensated convex transforms are simple convexity based `tight’ approximations of functions. Applications so far include image processing, geometric singularity extraction, such as surface intersection, stable ridge transform, the medial axis map; interpolation and approximation of sampled functions, and smoothing in convex optimization.

An interesting feature of such transforms is the Hausdorff stability which provides robustness of the transforms. I will present a brief introduction to the theory and numerical methods, and describe some of the applications mentioned above.

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主讲人简介:
张克威,1982年初毕业于吉林大学数学专业,1985年吉大硕士毕业。现在英国诺丁汉大学教书。研究兴趣是变分,偏微分方程组,弹性力学,材料微结构等。近年来对几何奇点提取,函数逼近,图像处理,光滑优化等感兴趣。