报告人:Peter J. Olver教授
单位:University of Minnesota
报告时间:2016年12月15日(星期四)晚上19:30
报告地点:长安校区 外国语学院报告厅
报告摘要:Fundamental problems
in image processing and computer vision include recognizing when twoobjects are
the "same" and classifying their symmetries. The underlying
mathematicalapparatus is group theory, and the solution relies on the
associated invariants. InEuclidean geometry, familiar examples include
inter-point distances and areas, along withcurvature and torsion of curves and
surfaces. The talk will introduce the basics ofgroups, symmetries, and
invariants, illustrated by examples and pictures. This will befollowed by
a presentation of recent applications to automated jigsaw puzzle assembly
andcancer detection.
报告人简介:Peter John Olver is an
American methematician whose primary research
interests revolve around the applications of symmetry and Lie groups to
differential equations. Over the years, he has done research in fluid
mechanics, elasticity, quatum mechanics, mathematical physics, Hamiltonian
mechanics, the calculus of variations, differential geometry, classical
invariant theory, computer vision, and geometric numerical methods.
He
has been a full professor at the University of Minnesota since 1985. As of
July, 2008, he has been serving as the Head of the Department. Olver became a
fellow of the Society for Industrial and Applied Mathematics for “developing
new geometric methods for differential equations leading to applications in
fluid mechanics, elasticity, quantum mechanics, and image processing.”In
addition, Olver is an elected fellow of the institute of Physics and a fellow
of the American Mathematical Society.
欢迎各位老师和同学参加!