Analytical Point-Cloud Based Geometric Modeling for Additive Manufacturing and Its Application to Cultural Heritage Preservation

Abstract

Point-cloud is a valuable piece of information for geometric modeling and additive manufacturing of different types of objects. In most cases, a point-cloud is obtained by using the 3D scanners or by using image processing. Alternatively, one can rely on an analytical approach for creating the required point-cloud. In this study, we develop an analytical method that uses both equation and algorithm-based approaches for creating a point-cloud for modeling a given object (or shape). The analytically created point-cloud can then be processed by using a commercially available CAD package to create a virtual model (or solid CAD model) of the object. Finally, the virtual model can be used to create a physical model (or replica) of the underlying object using a commercially available additive manufacturing device (e.g., a 3D printer). The abovementioned procedure of analytical point-cloud based geometric modeling for additive manufacturing can be applied to preserve artifacts having cultural significance. In particular, we consider the Ainu motifs that represent the cultural heritage of Ainus living in the northern part of Japan (Hokkaido). We first classify the motifs and then model them in the form of a point-clouds using both equations and a recursive process (algorithm) proposed in this study. Finally, we create the CAD model and physical models of the artifacts having Ainu motifs on them. This way, we show the effectiveness of the analytical point-cloud based geometric modeling for additive manufacturing.

The Mosque-Cathedral of Cordoba: Graphic Analysis of Interior Perspectives by Girault de Prangey around 1839

“…Many articles refer to survey methods of historical buildings, civil structures, archaeological objects, etc. Others refer to processes for generating heritage information models (as-built models) based on 3D digitisation [54][55][56]. Comparisons between historical drawings and 3D digitisation is a field where research can unveil important findings and they have got remarkable results [57].…”

Indoor Point Cloud Segmentation Using a Modified Region Growing Algorithm and Accurate Normal Estimation

“…The working environment of an indoor mobile robot is mainly composed of man-made geometries, such as planes and regular curved surfaces. Thus, plane segmentation plays a vital role in indoor point cloud segmentation, which has been widely used in reverse engineering [8], object recognition [9], augmented reality [10], heritage preservation [11], and so on. Therefore, the segmentation of planar features from an unorganized point cloud has become a research hotspot.…”

Development of 3D printed nanomaterials for restoration of exterior artworks

“…producing with cheap reproduction technologies accurate small-scale replicas of the artworks conserved in a museum or in a CH institution) [15]. Ullah et al developed an analytical method for creating a point-cloud for modelling, applied to preserve artifacts having cultural significance [16].…”