演講公告
新聞標題： ( 2012-04-10 )
演講主題：Perfect Matches of Lung branch Points Via Mass Transport Methods
主講人：陳鵬文 教授(台大數學系)
演講日期：2012年4月17日(星期二) 下午2:00 –3:00
演講地點：(光復校區) 科學一館223室
茶會時間：當天下午1:30 (科學一館205室)
摘要內容：
Abstract :
I will discuss point-set matching methods, which are based on Monge-Kantorvich mass transport problems. We apply these methods to match two sets of pulmonary vascular
tree branch points whose displacement is caused by the lung volume changes in the same human subject. The nearly perfect match performances in this study verify the effectiveness of this approach.
The purpose of this talk is to explain these perfect match results. To this end, I will provide some theoretical analysis on the L2 mass transport cost, including the curl-cardinality relation
and the invariant properties. The curl-cardinality relation is a simple inequality, which roughly says that a perfect match can be obtained, if the curl magnitude of the transform does not
exceed some upper bound C/n ( Here, n is the point cardinality and C is a positive constant related to the constant in the isoperimetric inequality). Empirical experiments show that the upper bound can be largely improved if the point-set is scattered uniformly over some region of a high dimensional space rather than being concentrated in a circle.
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