This is an introduction to the lectures and the tutorials. We will study different topics, differential geometric topic using analysis for the lectures and topological topics with numerical experiments for the tutorials. A survey for the knot energies will also be given.
Creator:
O'Hara, Jun (Chiba University)
Created:
2019-06-17
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Tuhin Sahai: Dynamical Systems and Continous Approximations for NP-hard Problems In this talk, we will explore the use of dynamical systems for approximating the solutions of NP-hard problems that arise in a wide variety of Industrial settings. In particular, we will investigate the use of dynamical systems for clustering networks and performing...
Creator:
Sahai, Tuhin (United Technologies Corporation); Swaminathan, Sumanth (W. L. Gore & Associates)
Created:
2015-04-20
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Viktoria Averina: Algorithm Development for Medical DevicesImplantable cardiac devices such as pacemakers and defibrillators can track and analyze patient's physiological data. I will showcase key steps of research and development of device-based respiratory monitoring: how one measures patient's respiratory function, why one would want to track...
Creator:
Averina, Viktoria A. (Boston Scientific); Sachs, Jeff (Merck & Co., Inc.)
Created:
2015-04-21
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
What new things can we make from 2D Materials? The possibilities are incredibly varied, from novel quantum systems to functional nanoscale machines. In this talk, I'll discuss three things we've built: a tunable 2D exciton, a thermal guitar, and a new class of self-folding origami devices.
Creator:
McEuen, Paul (Cornell University)
Created:
2017-05-17
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We begin with the generalization of electrostatic energy of charged knots, where we come across the difficulty of divergent integrals. Two kinds of regularization will be introduced, Hadamard regularization and the regularization via analytic continuation, both from the theory of generalized functions.
Creator:
O'Hara, Jun (Chiba University)
Created:
2019-06-18
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Given a near-perfect X-ray source, such as a synchrotron, then what are the reasonable options for image reconstruction? Back-projection reconstruction has dominated, with lambda tomography not receiving the attention it deserves. Give the computation power a the beamline, is it reasonable to perform both reconstructions so as to discern object ...
Creator:
Butler, Les G. (Louisiana State University)
Created:
2006-01-12
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
I shall talk about building 3D models from image sequences, and inparticular about rendering new views of existing sequences in orderto create stereoscopic 3D from monocular footage. I shall show howexisting strategies for image-based rendering can be augmented usingimage-based priors to create realistic 3D views. In addition I willtalk about th...
Creator:
Fitzgibbon, Andrew (Microsoft Research)
Created:
2006-02-07
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
3D optical elements modulate light through interaction with an entirevolume of variable refractive index (as opposed to a sequence of surfacesused in traditional optics.) One commonly used form of 3D optics isgradient-index (GRIN) where the modulation is base-band. Instead, we haveemphasized use of modulations on a spatial carrier (grating.) We ...
Creator:
Barbastathis, George (Massachusetts Institute of Technology)
Created:
2005-11-11
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In this talk I will describe recent results in the segmentationof relevant structures in electron tomography.We have developed novel techniques based onPDEs to work with this extremely hard data.I will describe the problem and the proposed solution,both at a tutorial level for a general audience.This is joint work with A. Bartesaghi and S. Subra...
Creator:
Sapiro, Guillermo R. (University of Minnesota, Twin Cities)
Created:
2006-01-11
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.