Analyzing fracture patterns in theran wall paintings
VAST'10 Proceedings of the 11th International conference on Virtual Reality, Archaeology and Cultural Heritage
Axis estimation and grouping of rotationally symmetric object segments
Pattern Recognition
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In this paper, we present a computationally efficient technique for solving the difficult problem of estimating the global shape of a ceramic pot from measurements of its fragments. Each unknown pot is modeled as a surface of revolution, i.e., a 3D line-- the central axis of the pot -- and a 2D profile curve with respect to that axis. For each fragment, a probabilistic distribution is estimated which models both the geometric shape of the fragment and the variability of the estimated fragment shape. Estimation of the global pot shape is then a Maximum Likelihood Estimation (MLE) problem where we seek the values of the Euclidean transformation parameters that maximize the joint probability of the matched fragments' axis/profile-curvemodels (which includes the additional constraint that the matched fragments must share a common central axis). This is a new type of curve-analysis problem and our solution is a new and effective approach applicable for generic constrained 2D curve alignment and for modeling of 3D axially-symmetric surfaces and for comparing geometric models which may correspond over a subset of the complete model.