國立清華大學 數學系

Abstract：
In this talk, I will share my past research experiences for graduate students.

The first part of the talk is about the application of optimal transport to lung branch points. Over several decades, optimal transport has become a popular tool in image science, particularly for image registration and point-set registration. I will present some interesting experience on this subject.

The second part of the talk concerns phase retrieval, a non-convex optimization problem that arises in many Fourier optics applications.  We develop an initialization scheme for the nonconvex problem using random phase masks. In this part, I will briefly describe its application for tomographic images.