Working with implicit surfaces and point clouds

Guillermo Sapiro

University of Minnesota

Implicit surfaces and point clouds in high dimensions are fundamental manifold 
representations for applications ranging from computer graphics to learning.  In 
this talk we present theoretical and computational results with this data.  Some 
of the areas we cover are solving flows on surfaces, finding geodesics, and 
comparing manifolds.  We present applications in computer graphics, image 
processing, brain imaging, and shape recognition.

Joint work with F. Memoli.

Guillermo Sapiro is a Distinguished McKnight University Professor with the 
Electrical and Computer Engineering Department at the University of Minnesota.

G. Sapiro works on geometry and geometric partial differential equations, both 
in theory and applications in image sciences, shape, and computational biology. 
He has authored and co-authored numerous papers in this area and has written a 
book published by Cambridge University Press, January 2001.

G. Sapiro was awarded the Gutwirth Scholarship for Special Excellence in 
Graduate Studies in 1991, the  Ollendorff Fellowship for Excellence in Vision 
and Image Understanding Work in 1992, the Rothschild Fellowship for Post-
Doctoral Studies in 1993, the Office of Naval Research Young Investigator Award 
in 1998, the Presidential Early Career Awards for Scientist and Engineers 
(PECASE) in 1998, and the National Science Foundation Career Award in 1999.

G. Sapiro is a member of IEEE and SIAM, where he serves as the Vice-Chair for 
the Imaging Sciences Activity Group.