Seminars_raw

A convexity based method for approximation and interpolation of sampled functions

2018-12-13 00:00

Speaker: Zhang Kewei

unit:

Time: 2018-04-03 16:00-16:50

Venue: The Wei Jin Road No. 6 Building 111 campus teaching

starttime: 2018-04-03 16:00-16:50

Profile:


Theme:
A convexity based method for approximation and interpolation of sampled functions
Time:
2018-04-03 16:00-16:50
Venue:
The Wei Jin Road No. 6 Building 111 campus teaching
Speaker:
Zhang Kewei

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 for a given continuous or Lipschitz function.  Prototype examples will also be presented and numerical experiments on applications to salt & pepper noise reduction, the level set reconstruction and image inpainting will also be illustrated. This is a joint work with Elaine Crooks and Antonio Orlando.


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