Abstract

This study proposes a topologically robust and ranging error resistive approximate modelling procedure suitable for quantitative 3D shape processing. A geometric model with desired matrix-format meshing is directly reconstructed based on a solid modelling approach. The radial distance of each scanning point from the axis of the cylindrical coordinates is measured using a laser triangulation sensor. The angular and vertical positions of the laser beam are two other coordinate values of the modelling. A face (mesh) array listing (topology), which defines the sampling point connectivity and the shape of the mesh, is assigned to meet the desired sampling. The topologically stable organized meshing, and hence, an accurate approximation is then accomplished. It is free from the noise-originated misconnection and shape ambiguity, which is unavoidable in the widely used ICP (Iterative Closest Point) modelling. This proposal allows a simple, practical and versatile 3D shape processing, and modification, for instance, for cultural heritage retrieval and virtual training.

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