High-Precision Geometric Modeling of 3D Artifacts for Virtual Restoration

This paper proposes a practical, topologically robust and ranging error resistive shape modeling procedure that approximates real physical 3D objects, such as archeological or cultural heritage artifacts, with the matrix-formatted organized meshing, enabling high-density scanning for high-resolution modeling and the successive 3D shape manipulation for restoration and modification. A face array listing (topology), which defines the vertex (mesh point) connectivity and the shape of the mesh, is pre-assigned to meet the desired scanning. Stable meshing, and hence, an accurate approximation, free from the shape ambiguity unavoidable in the widely used "retrieving topology from geometry" modeling procedures based on, for example, the Delaunay tessellations, is then accomplished. This proposal is practicable for all kinds of objects, automating the current manual, time-consuming reconstruction procedure, reducing rework requirement modeling and produce a versatile successive 3D shape manipulation