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On the Relation between Edge and Vertex Modelling in Shape Analysis
Ist Teil von
Scandinavian journal of statistics, 2002-09, Vol.29 (3), p.355-374
Ort / Verlag
Oxford UK: Blackwell Publishers Ltd
Erscheinungsjahr
2002
Link zum Volltext
Quelle
Wiley Online Library Journals Frontfile Complete
Beschreibungen/Notizen
Objects in the plane with no obvious landmarks can be described by either vertex transformation vectors or edge transformation vectors. In this paper we provide the relation between the two transformation vectors. Grenander & Miller (1994) use a multivariate normal distribution with a block circulant covariance matrix to model the edge transformation vector. This type of model is also feasible for the vertex transformation vector and in certain cases the free parameters of the two models match up in a simple way. A vertex model and an edge model are applied to a data set of sand particles to explore shape variability.