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.
After spending about 5 minutes showing recent results onvideo segmentation (joint work with Adobe), I will describe somerecent works in my group in the area of dictionary learning and sparse coding.In particular I will present new models derived from information theory,new models dedicated to go beyond standard sparse coding applications andinto...
Creator:
Sapiro, Guillermo R. (University of Minnesota, Twin Cities)
Created:
2009-10-06
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
A geometric framework for comparing manifolds given by point cloudsis first presented in this talk. The underlying theory is based onGromov-Hausdorff distances, leading to isometry invariant andcompletely geometric comparisons. This theory is embedded in aprobabilistic setting as derived from random sampling of manifolds,and then combined with r...
Creator:
Sapiro, Guillermo R. (University of Minnesota, Twin Cities)
Created:
2006-04-03
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In this talk I will first show how to use simpleand classical results from distance geometry toaddress the problem of sensor localization underphysical constraints.Then I will move into presenting some recent resultsin video processing that I wish could be done at the sensorlevel. For example, I will show techniques thatreduce the video data to ...
Creator:
Sapiro, Guillermo R. (University of Minnesota, Twin Cities)
Created:
2005-12-09
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In this talk I will describe recent results on large populations of brain connectivity networks. We analyze sex and kinship relations and their effects in brain networks metrics and topologies. The reported results are obtained in collaboration between the team of Paul Thompson at UCLA and my team at the UofM, in particular Neda Jahanshad and Ju...
Creator:
Sapiro, Guillermo R. (University of Minnesota, Twin Cities)
Created:
2011-10-26
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In this talk I will describe recent work with Guoshen Yu andStephane Mallat on PCA/GMM/structured-sparsity.I will introduce the framework, show state-of-the-art resultsfor image restoration and matrix completion, and presenttheoretical results regarding compressed sensing of GMM.
Creator:
Sapiro, Guillermo R. (University of Minnesota, Twin Cities)
Created:
2011-03-10
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In this talk I will describe some of our efforts in the area of translational medical imaging,and illustrate how mathematics and formalism play a fundamental role.I will start with our work on brain imaging, where we have developedentire analysis pipelines, going fromfixing basic mathematical errors in the classical formulasof high resolution di...
Creator:
Sapiro, Guillermo R. (University of Minnesota, Twin Cities)
Created:
2011-11-15
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.