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Title of article :
Statistics on manifolds and landmarks based image analysis: A nonparametric theory with applications
Author/Authors :
Bhattacharya، نويسنده , , Rabi and Patrangenaru، نويسنده , , Vic، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2014
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Abstract :
This paper provides an exposition of some recent developments in nonparametric inference on manifolds, along with a brief account of an emerging theory on data analysis on stratified spaces. Much of the theory is developed around the notion of Fréceht means with applications, for the most part, to landmark based shape spaces. A number of applications are illustrated with real data in such areas as paleomagnetism, morphometrics and medical diagnostics. Connections to scene recognition and machine vision are also explored.
Keywords :
Reflection similarity shape , Projective shape spaces , Fre’chet mean , Nonparametric inference on manifolds Kendall’s shape spaces , Stratified spaces
Journal title :
Journal of Statistical Planning and Inference
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Link To Document :