Image Processing Techniques with Applications to Shape and Surface Reconstruction

Speaker: 

Fred Park

Institution: 

UC Irvine

Time: 

Monday, January 30, 2012 - 12:00pm

Location: 

RH 306

In the first part of this talk, I will give a brief introduction to image
processing and discuss some of the classical models and techniques. In the
second part of the talk, I will discuss a model from my current research
that can segment or dissoclude objects in images by using additional shape
information. I will then show how this model can be easily adapted to the
application of reconstructing surfaces from unorganized data points in
space known as point clouds. Finally, some ongoing and future work will be
discussed which also includes some exciting undergraduate research
projects.

Schrdinger operators with Sturmian potentials : An interdisciplinary history

Speaker: 

May Mei

Time: 

Monday, January 23, 2012 - 5:30pm

Location: 

RH 306

I will be discussing a problem I am working on involving the spectral properties of Schrdinger operators with Sturmian potentials. This problem originated with a Nobel Prize-winning observation by a chemist in 1984. After being studied by math physicists, it was reduced to the purely dynamical behavior of a polynomial map on a manifold. The word "interdisciplinary" in the title of this talk refers both to a mathematical problem arising in another discipline and to the collaboration within mathematics across different research areas.

What do Linear Algebra and Analysis have to do with Quantum Mechanics?

Speaker: 

Son Nguyen

Institution: 

UC Irvine

Time: 

Monday, November 28, 2011 - 5:30pm

Location: 

RH 306

Linear Algebra and Analysis approach mathematical abstraction from two seemingly different perspectives. However, once we start talking about normed linear spaces or, more concretely, Hilbert spaces, these two subjects readily connected to each other and the new theory ultimately became the playground for physicists in the 1900s. In this talk, we present some background material on both linear algebra and elementary analysis, discuss their roles within the concept of a Hilbert Space, and why a Hilbert space is important to Quantum Mechanics.

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