This paper proposes a practical, topologically robust and most of the objects that are complicated in shape. ranging-error resistive shape modeling procedure that approximates Contrary to the widely used "retrieving topology" procedures, real 3D objects, for example, cultural heritage and archeological this paper proposes an approach such that the desired surface artifacts in shape and color. This enables high-density scanning mesh topology is first assigned and a geometric model with a for high-resolution modeling, the successive 3D model manipulation solid model format is directly generated. This model is called for shape modification and restoration, and also enables the color ";B-reps (Boundary representations)," which describes a 3D image mapping onto the modeled surfaces. A face array listing . a (topology), which defines the vertex (mesh point) connectivity and nobect as a set of surface elements that separate the object the shape of the mesh, is pre-assigned to meet the desired meshing. interior from the environment and is a polygon mesh approxiStable and organized meshing, and hence, an accurate approximation, mation of a curved surface. free from the shape ambiguity unavoidable in the widely used In other words, the method involves a prototypical model "retrieving topology from ranged geometry" procedures based on, (e.g., the unit cylinder in Fig. 1 or the unit sphere in Fig. 2 (b)) for instance, the Delaunay tessellations, is then accomplished. This being first prepared by considering the shape of the object and proposal is practicable for all kinds of objects, automating the then modifying every mesh point to reflect the geometric shape current manual and time-consuming reconstruction procedure, eliminating rework requirement modeling and producing a versatile of the object. This is "topology is first and then geometry," not successive 3D shape manipulation."geometry first and then topology" as the "retrieving topology" procedures.
I. INTRODUCTIONDuring morphing or warping, which is a fundamental operation in computer graphics, the initially constructed model is Three-dimensional shape reconstruction of real objects has deformed into another model. It is usually appearance-based or wide applications and a long history. There are a significant computer-graphics-based and the operation is applied to unnumber of review articles, papers [1-6], and products [7] organized triangular meshes. dealing with the problem. This study is to provide technology Our shape deformation is applied to the organized and pointthat would reconstruct the cultural or archeological artifacts locatable mesh points, which originated from the modeling accurately and precisely as they are usually in a dusty envi-procedure, using intuitive matrix-type shape operators. The ronment. Surface models with unorganized triangular meshes modeling enables the successive noise elimination, square cell have been built based on the principle: "retrieving surface camera image mapping, quantitative shape modification, and topology from the ranged...
