演講者： 黃彥彰 教授 (國立臺南大學應用數學系)
標題：Some integral formulas related to geometric structures
地點：校本部第二綜合大樓8樓 B808 教室
摘要： In this talk I will introduce some integral formulas from the point of view on Integral Geometry, which reflect not only the geometric invariants and also the underlying geometric structures. Beginning with the classical formulas, including the Buffon's needle problem, Crofton’s formula, and Cauchy surface area formula in the Euclidean spaces, we will show that how such formulas are generalized to the other geometric spaces. Some applications on Image Processing will also be introduced with our recent results in the estimation of the surface areas for ovoids.