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Nonlinear PDEs on manifold for computer vision
台雪成 教授(University of Bergen, Noway and Nanyang Technological University, Singapore)
2018-01-01 12:13  华东师范大学

图像处理学术报告

报 告 人:台雪成 教授(University of Bergen, Noway and Nanyang Technological University, Singapore)

报告题目:Nonlinear PDEs on manifold for computer vision

报告时间:2011年3月8日(星期二) 下午:2:00-3:00
报告地点:闵行校区数学楼报告厅102

报告简介:
In this talk, we will present several nonlinear partial differential equation on surfaces used for computer vision. The equations include the Beltrami flow, total variation flow, Perona-Malik flow, harmonic map and p-harmonic maps on surfaces. Finite volume will be used to discretize the equations. Some of these equations do not have uniqueness and stability under the continuous setting. We prove that the discretized equations have existence, uniqueness and continuous dependence of initial data. Some numerical experiments will be given to show the applications of these equations for processing and analysis of images on surfaces.

This talk is based on joint work with Chunlin Wu, Falai Chen and Jinsong Deng.