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

非结构化传感器数据的三维形状表示、分析、操作和估计问题不仅是计算机视觉的核心问题，而且对几何建模、计算机图形学、计算几何、医学成像、监视等领域也具有关键意义。本提案的目的是在解决考古学中某些关键问题的背景下，研究解决这些问题的方法。这一应用领域提供了以下三个明显的优势：(i)它是自由形状的丰富来源，例如，陶器碎片，大理石板和浮雕，雕塑，柱头，建筑立面等，与需要专家分割的医学图像获得的3D自由形状相比，这些形状很容易获得；这些数据也比典型制造环境中可用的数据更丰富、更可变；（ii）问题具有普遍性，建议的方法可以应用于各种其他领域；（iii）这个应用领域在自然科学和人文科学之间形成了一个关键的桥梁。

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.