ITR: 3D Free Form Models for the Representation, Manipulation, and Recovery of Shape, with Applications to Archaeology and Virtual Sculpting

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The problems of 3D shape representation, analysis, manipulation,and estimation from unstructured sensor data are central not onlyto computer vision, but are also of key significance to geometricmodeling, computer graphics, computational geometry, medical imaging,surveillance, among others. The goal of this proposal is to investigateapproaches to these problems in the context of tackling certainkey problems in archaeology. This area of application offersthe following three distinct advantages: (i) it is a rich sourceof free-form shapes, e.g., pottery sherds, marble plates and reliefs,sculpture, column capitals, building facades, etc., which areeasily accessible, in contrast to 3D free-form shapes obtainedfrom medical images which require expert segmentation; this datais also richer and more variable than data available in a typicalmanufacturing environ-ment; (ii) the problems are of a genericnature and the proposed approaches can be applied to a varietyof other domains; (iii) this application area forms a key bridgebetween the Physical Sciences and the Humanities.